(a) The line density of the given grating is calculated to be 4831 lines / cm.
(b) There are two additional pares of bright spots beyond the first bright spot. θ₂ = 37.7° and θ₃ = 66.5°
(a) Given that,
λ = 632.8 nm = 632.8 × 10⁻⁹ m
θ₁ = ± 17.8
We know that the brilliant fringes' angle is determined by,
sin θ = mλ/d
For first bright fringe, m = ± 1
sin θ₁ = λ/d ----(1)
Line density of this grating is given by, N = 1/d ----(2)
Making d as subject in (1), we have,
d = λ/ sin θ₁ ----(3)
Putting (3) in (2), we have,
N = sin θ₁/ λ = sin 17.8/(632.8 × 10⁻⁹) = 4.831 × 10⁵ line/m = (4.831 × 10⁵ lines/ 1m) × (1 m/100 cm) = 4831 lines / cm
(b) We know, d sin θ = m λ
So, d = m λ/sin θ = (632.8 × 10⁻⁹/sin 17.8) = 2067.4 × 10⁻⁹ m
Line density = 10⁻² / (2067.4 × 10⁻⁹) = 4830 lines/cm
To get additional bright spots, we take the condition sin θm < 1 which gives,
sin θ₂ = 2 sin θ₁ = 2× 0.3056 = 0.62
θ₂ = 37.7°
sin θ₃ = 3 sin θ₁ = 3 × 0.31 = 0.93
θ₃ = 66.5°
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if you walk for 30 second at speed of 2m/s and run for 2minutes at 1.5m/s along the same straight track .find the average speed your self?
Answer:
1.6 m/s
Explanation:
Avg. Speed = total distance/total time
d1 = speed x time = (2 m/s)(30 s) = 60 m
d2 = (1.5 m/s)(120 s) = 180 m
d-total = 60 m + 180 m = 240 m
t-total = 30 s + 120 s = 150 s
Avg speed = 240 m / 150 s = 1.6 m/s
a class 1 power-limited circuit shall be supplied by a source that has a rated output of not more than 30 volts and ? .
A class 1 power-limited circuit shall be supplied by a source that has a rated output of not more than 30 volts and 1000 volt-amperes.
What is circuit?A circuit is a loop in which current can move. The energy needed for the circuit to function comes from a power source, like a battery. In a circuit, electrons move from a power source's negative side to its positive side before returning to the negative side. The circuit is complete once the electrons have gone back to the power source.
Electrons for powering the circuit are supplied by the voltage source, which also serves as its electron source. Electric connections like outlets and batteries are common sources of voltage.
The load is what uses the energy that the voltage source produces. Loads are what cause a circuit to operate in various ways, such as by making a sound or lighting up.
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The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a.
Answer:
Explanation:
The amount of energy needed to apply a force of 1 newton over a distance of 1 meter is also called a joule. The joule (symbol: J) is the SI derived unit of energy. It is the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter. It is also the amount of energy required to heat 1 gram of water by 1 degree Celsius.
If the mass of an object is 10 lbm, what is its weight, in lbf, at a location where gravity is 32. 0 ft/s2?
what is its weight, in lbf, at a location where gravity is 32. 0 ft/s2?
The weight of the object in lbf at a location with gravity 32.0 ft/s2 is 320 lbf (10 lbm x 32.0 ft/s2).
What is gravity?Gravity is a natural phenomenon by which all objects with mass in the universe attract each other. It is the force that keeps us and all other objects on the Earth’s surface and is responsible for the movement of celestial bodies. Gravity is an invisible force that acts on every object in the universe, no matter how small or large. It is the force that gives objects their weight and keeps them in orbit around other objects, such as planets or stars. Gravity is one of the four fundamental forces of nature, along with the strong and weak nuclear forces, and electromagnetism.
The weight of an object is equal to its mass multiplied by the gravitational acceleration at the location.
Therefore, the weight of the object in lbf at a location with gravity 32.0 ft/s2 is 320 lbf (10 lbm x 32.0 ft/s2).
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if the two bodies in part (a) were the same size, what would be the ratio of the heat emitted by the hotter object to the heat emitted by the colder one?
the proportion of heat produced by the hotter item to that by the cooler one
What connection exists between the change in temperature and the transfer of heat?
temperature object. For a gas, a shift in temperature and heat transfer are connected. Heat emitted = Stefan's constant T4 if the two bodies are separate.
We now know that the ratio of heat released to a ratio of degrees will be 4.Heat(hotter): Heat: 600:300 = 16:1 Cooler: 300:600
In water, how does heat transfer happen?
Heat is transferred by a fluid, including water or air, by convection. As the fluid (gas) flows from one place to another, it also transfers heat. A current is the term used to describe the movement of warm water or air.
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how fast are we traveling around the galaxy, in km/hr ? express your answer in kilometers per hour to three significant figures.
ow fast are we traveling around the galaxy, in km/hr ? express your answer in kilometers per hour to three significant figures.
We are located about 27,000 light-years from the galactic center and we orbit the center about once every 230 million years. We are traveling at about 800,000 km/hr.
In this problem, they inform us of the rotation of the galaxy about its core; hence, if we assume that the galaxy was revolving in a circle, they inform us that the distance from the center is such that the circle's radius is 27,000 light years. 230 million years are needed for us to complete one full cycle. We must thus determine our current speed, which is equal to the circumference of this circle divided by the time it takes to complete the circle. Therefore, a circle's circumference is equal to two pi times its radius, which is 27,000 light years in this case.
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When you used a stiffer or tighter elastic material, what effect did this have on the duration of the impulse? What affect did this have on the maximum size of the force? Can you develop a general rule from these observations? When comparing graphs from the two different bands, why is it important that the starting velocities be similar? If the thinner band had a much larger initial velocity than the thicker band, why would it be difficult to compare the results?
When you switched from elastic material to string, the effect is that the elasticity of the two materials is different because impulse is a physical vector quantity defined as the product of the average force applied to a body and the time interval. Impulse can also be defined from the variation in the amount of movement suffered by a body.
The use of a stiffer or tighter elastic material caused the duration of the impulse to be shorter, making the maximum force larger. The general rule that can be established is that the force required to produce the same impulse increases with decreasing time.
Impulse is a physical quantity that measures the change in the amount of movement suffered by a body on which a force acts (F) during a time interval (Δt).
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What is the net torque on the pulley about the axle?
The net torque on the pulley about the axle would be -0.20 Nm.
What is net torque?Torque is defined as a twisting or turning force that causes rotation around an axis, which can be a centre of mass or a fixed point. Torque can also be defined as a rotating object's ability to overcome turning resistance, such as a gear or a shaft.
In most cases, it is expressed in pounds per foot or newtons per metre. Torque is frequently confused with work, which is defined as force applied across a distance. Torsion (twisting) is, however, an essential component of the definition of torque.
Torque and work are both mechanical expressions of energy. Torque is a force that allows cars to smoke brake burns and accelerate quickly from a slow speed.
The net torque on the pulley well about axle is the torque due to the 30 N force plus the torque due to 20 N force:
T=(30 N)r₁ sinθ₁+(20 N)r₂ sinθ₂
= (30 N)(0.02 m)sin(-90°)+(20 N) (0.02 m)sin(90°)
=(-0.60Nm)+(0.40 Nm)
=-0.20 N m
Thus, The net torque on the pulley about the axle would be -0.20 Nm.
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since the net force expressed in newton's second law is provided by the coulomb force between the charged disks, we can substitute the expression for the coulomb force into newton's second law and solve for the acceleration. what is the algebraic representation of the acceleration of the disc? your answer should be in terms of the charge on disc 1, q1, the charge on disc 2, q2, the distance between them, r, and the mass of a disc, m.
coulomb force into newton's second law and solve for the acceleration. what is the algebraic representation of the acceleration of the disc? your answer should
q1 and q2 are the charges of the two discs, m is the mass of a disc, and r is the distance between the discs. epsilon_0 is the electric permittivity of free space.
What is electric permittivity?Electric permittivity, also known as the dielectric constant, is a measure of how easily an electric field can pass through a material.
The algebraic representation of the acceleration of the disc is given by the following expression:
a = (q1*q2)/(4*pi*epsilon_0*m*r^2)
This expression is derived from Newton's Second Law, which states that the net force is equal to the mass of the object multiplied by its acceleration, F = ma. The net force in this case is the Coulomb force between the two charged disks, which is given by the expression F = (q1*q2)/(4*pi*epsilon_0*r^2). Substituting this expression into Newton's Second Law, we can solve for the acceleration: a = (q1*q2)/(4*pi*epsilon_0*m*r^2).
Here, q1 and q2 are the charges of the two discs, m is the mass of a disc, and r is the distance between the discs. epsilon_0 is the electric permittivity of free space.
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a coaxial cable is filled with lossless teflon, having a relative permittivity of 2.1. (teflon is nonmagnetic, so the relative permeability is unity.) how long with it take a signal to travel a one-meter length of the cable?
It would take 1.449 ns (newton-second) for a signal to travel one-meter length of the coaxial cable filled with lossless Teflon.
What is speed of light?The speed of light is a fundamental constant of physics that represents the fastest possible speed at which energy, matter, and information can travel in a vacuum. The speed of light is approximately 299,792,458 meters per second, or about 670,616,629 miles per hour.
The speed of an electromagnetic wave in a medium is given by the equation:
c is equal to 1 / sqrt (mu*epsilon r).
where c is the speed of light in a vacuum, mu_r is the relative permeability of the medium, and epsilon_r is the relative permittivity of the medium.
In this case, the medium is lossless Teflon, which has a relative permittivity of 2.1, and a relative permeability of 1 (since Teflon is nonmagnetic). Therefore, the speed of a signal in the cable is:
c = 1 / sqrt (1 * 2.1)
c = 1 / sqrt (2.1) = 1 / 1.447 = 0.69
The speed of signal in the coaxial cable is 0.69 times the speed of light in a vacuum.
To determine the time, it would take for a signal to travel one-meter length of the cable, we can divide the distance by the speed:
t = d / c
t = 1m / (0.69 * c)
t = 1.449 ns
So, it would take 1.449 ns for a signal to travel one-meter length of the coaxial cable filled with lossless Teflon.
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you are given a hammer a battery above wires and switch how will you distinguish between samples of metal and nonmetal with the help of a hammer?
Answer:
One way to distinguish between samples of metal and nonmetal with the help of a hammer is by conducting a simple test called the "ring test." This test involves striking the sample with the hammer and listening for the sound it makes. Metals typically produce a clear, ringing sound when struck, while nonmetals produce a dull, thudding sound. Additionally, you can use a magnet to test if the sample is metal or not. If the sample is attracted to the magnet, it's likely to be a metal, if not it's likely to be a nonmetal.
10. a 1.50 m wire has a mass of 8.70 g and is under a tension of 120 n. the wire is held rigidly at both ends and set into oscillation. (a) what is the speed of waves on the wire? what is the wavelength of the waves that produce (b) the first harmonic and (c) the second harmonic standing waves? what is the frequency of the waves that produce (d) the first harmonic and (e) the second harmonic standing waves?
A) Speed of waves on the wire: 360 m/s. the wire is held rigidly at both ends and set into oscillation.
What is oscillation ?
Oscillation is a repeating back and forth movement between two points, or a continuous and regular alternation between two states. It is a type of periodic motion, which can either be regular or irregular, that is often seen in physical or biological systems.
In physics, oscillation is a type of motion that is repeated over and over again in the same pattern. Examples of oscillation include the swinging of a pendulum, the vibration of a tuning fork, and the wave-like motion of a spring. In biology, oscillation can refer to the cyclic changes in the activity of a living organism, such as the body temperature of a mammal, or the circadian rhythm of a plant. Oscillation is an important phenomenon in many areas of science, from engineering to economics.
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A book is on the table. If the weight of the book is 25 newtons, what is the magnitude and direction of the normal force?A.2.5 newtons in the downward directionB.2.5 newtons in the upward directionC.25 newtons in the upward directionD.25 newtons in the downward directionE.25 newtons perpendicular to the gravitational force
The normal force has a 25 N force magnitude and an upward force direction.
The force the book exerts on the table is downward-directed and equal to its weight, which is 25 N.
According to Newton's third law, every force an object A applies to an object B is balanced out by an equally strong force applied in the opposite direction to object A.
The book is object A in this instance, while the table is object B. According to Newton's third law, the table pulls on the book with a force that is both equal to and opposite to that of the force exerted by the table. As a result, the normal force's magnitude is the same as the weight of the book (25 N), while its direction is opposite.
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two identical bodies with a mass of 2.0 x 104 kg are 2.0 m apart (center to center). what is the gravitational force between them?
The gravity attraction force between the two is directly related to the product of respective weights and is inversely related to the square of their masses, according to Newton's Inverse Square Law.
A gravitational field is what?
Learn the vocabulary you need to speak with assurance. The region where gravity acts, such as the space surrounding a planet, is known as the gravitational field. Gravity and gravitational force are the same thing. The power that an item has because it is located in a position where gravity could effect it is known as gravitational potential energy.
Exists gravitation, or not?
Furthermore, although the influence of gravity is weaker as objects are moved away, its range is infinite. Sir Isaac Newton was the first to notice this force of attraction, and his discovery became known as Newton's law.
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what happens to a sound wave travel when it trave fro air into water a() its interneity increases g
Option d is Correct. Since crests move away from the boundary quicker than they move up to the border, the sound wave speed will increase when the wave crosses the boundary into the ocean.
Several characteristics will alter as a sound wave moves from air to water. It causes the distance between crests (the wavelength) to grow. Due to some sound being reflected off the water's surface, the sound intensity in the water will be lower than it was in the air.
Since a crest moves away from the border every time a crest approaches the boundary, the frequency (number of crests passing each second) will remain constant.
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Correct Question:
What happens to a sound wave as it travels from air into water? (a) Its intensity increases. (b) Its wavelength decreases. (c) Its frequency increases. (d) Its frequency remains the same. (e) Its velocity decreases.
The virtual image produced by a convex mirror is one-quarter the size of the object. If the object is 31 cm in front of the mirror, what is the image distance? What is the focal length of this mirror?
Image separation approximately -7.75 cm. The above mirror's focal length measures -10.33 cm.
Definition of Focal Length:The focal length of your camera seems to be the range (in millimeters) between its point of convergence and the sensor or film used to capture the image. How much of a scene that camera can record depends on the telephoto lens of a films or internet camera lens.
How is the focal length determined?The maximum aperture of the lens, which is often given in millimeters, is really the length between the perspective and the sensor when the image is in focus. The minimal and maximum lens lengths of telephoto lenses are specified, for instance, 18-55 mm.
magnification = image / object
= - distance of image / distance of object
m = 1/4
= -di/31
di = -7.75 cm
image distance = 7.75 cm
lens equation,
1/f = 1/v + 1/u
1/f = - 1/7.75 + 1/31
f = -10.33 cm
focal length = 10.33 cm
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determine the applied force required to accelerate a 3.58-kg object rightward with a constant acceleration of 1.52 m/s/s if the force of friction opposing the motion is 17.9 n.
The net force acting on the object weighing 3.58 kg accelerating 1.52 m/s² will be 5.44 N. The applied force to overcome the frictional force of 17.9 N is then 23.34 N.
What is friction ?Friction is a kind of force that resist motion of an object. It is an opposing force so that it always be negative. The net force acting on an object decreases from the applied force due to friction.
Force is the product of mass and acceleration of the moving object.
Given mass = 3.58 kg
acceleration = 1.52 m/s²
net force = 3.58 kg × 1. 52 /m/s² = 5.44 N.
The net force is applied force - frictional force
then, applied force = 5.44 N + 17.9 N = 23.34 N.
Therefore, the applied force on the object is 23.34 N.
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A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20 degree pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force FB at the pressure angle shown. a. Determine the force FB, assuming the shall is running at a constant speed.b. Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supporters. c. Draw shear-force and bending-moment diagrams for the shaft. If needed. make one set for the horizontal plane and another set tor the vertical plane. d. At the point of maximum bending moment, determine the bending stress and the torsional shear stress. e. At the point of maximum bending moment, determine the principal stresses and the maximum shear stress.
The force FB, assuming the shall is running at a constant speed is 750lbf.
What are torsional stress and bending stress?The segment flexes due to the bending moment, and the section rotates due to the torque (torsional moment). A machine member is said to be in torsional when it is subjected to two equal and opposite couplings acting in a parallel plane. Torsional shear stress is the name for the tension that torsion creates. At the centroidal axis, it is zero, and at the outside surface, it is highest.
Ф= 20∘
FA=300 lbf
d=1.25in
summation Mt => f cos 20∘ x 4 = 300 cos20∘ x 10
Fb => 750lbf.
What forces are at work when bearing?a technique for determining out the optimal number of preload or initial axial compression between two tapered roller bearings. Two forces often act on a bearing since it typically enables a shaft to easily rotate about a rotational axis: a circular
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Starting at its rightmost position, it takes 2 seconds for the pendulum of a grandfather clock to swing a horizontal distance of 18 inches from right to left and 2 seconds for the pendulum to swing back from left to right. Which of the following equations models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds
d = 18sin(πt/2)
This equation models the horizontal distance of the pendulum from the center as a function of time.
What is pendulum?
A pendulum is a weight suspended from a pivot so that it can swing freely. Pendulums are often used to regulate time in clocks, as well as for scientific experiments to study gravity and other forces.
The pendulum swings 18 inches from right to left in 2 seconds, so we can use the equation d = 18sin(πt/2). To explain this, note that the pendulum takes 2 seconds to swing from right to left and back to right.
This means that it takes a total of 4 seconds for the pendulum to complete one period. Therefore, we can divide the time by 4 seconds to find the period.
This gives us πt/2. We then multiply this period by 18, the horizontal distance of the pendulum from the center, to get the equation d = 18sin(πt/2).
Therefore, d = 18sin(πt/2)
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determine the magnitude of the electric field (in n/c) along the long axis of the rod at a point 27.0 cm from its center.
The magnitude of the electric field along the long axis of the rod at a point 27.0 cm from its center is -4,444,444 N.
What is referred to as an electric field?When charge is present in any form, each point in space has an electric field that is connected to it. The value of E, also known as the electric field strength, electric field intensity, or just the electric field, is used to express the size and direction of the electric field.
A charged rod's electric field can be calculated using the following formula:
E (electric field ) = k Q/[D (D + L)]
Where,
E is electric field
k is Coulomb’s constant = 9×10⁹ Nm²/c²
Q is total charge = -20.0 µc = -20.0 × 10⁻⁶c
L is length of rod = 12.0 cm = 0.12 m
D is distance from the center = 27.0 – 12.0 cm = 0.15m
Substituting the values in the formula:
E = (9×10⁹ Nm²/c²) × (-20.0×10⁻⁶c) / [0.15m (0.15m + 0.12m)]
E = -4,444,444 N.
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Complete question is" A rod 12.0 cm long is uniformly charged and has a total charge of -20.0 µc. determine the magnitude and direction of the electric field along the axis of the rod at a point 32.0 cm from its center".
(a) write the expression for y as a function of x and t in si units for a sinusoidal wave traveling along a rope in the negative x direction with the following characteristics: a58.00 cm, l5 80.0 cm, f5 3.00 hz, and y(0, t) 5 0 at t5 0. (b) what if? write the expression for y as a function of xand t for the wave in part (a) assuming y(x, 0) 5 0 at the point x5 10.0 cm.
n of x and t in si units for a sinusoidal wave traveling along a rope in the negative x direction with the following characteristics: a58.00 cm, l5 80.0 cm, f5 3.00 hz, and y(0, t) 5 0 at t5 0. (b) what if? write the expression for y as a function of xand t for the wave in part (a) assuming y(x, 0) 5 0 at the point x5 10.0 cm.
for a - the expression is in the equation of y(x,t) = 58.00 cm * sin (2π (3.00 Hz (t-(-x/240 cm/s)) )) and for b the expression is y(x,t) = 58.00 cm * sin (2π (3.00 Hz (t- (-x/240 cm/s)) + (x/80cm)))
(a) For a sinusoidal wave traveling in the negative x direction with amplitude A = 58.00 cm, wavelength λ = 80.0 cm, frequency f = 3.00 Hz, and y(0, t) = 0 at t = 0, the expression for y as a function of x and t in SI units is given by: y(x,t) = A * sin (2π (f(t-x/v)) ). where v is the speed of the wave, which can be found using the relationship v = fλ. In this case, v = 3.00 Hz * 80.0 cm = 240.0 cm/s.Therefore, the equation becomes: y(x,t) = 58.00 cm * sin (2π (3.00 Hz (t-(-x/240 cm/s)) ))
(b) If y(x, 0) = 0 at the point x = 10.0 cm, then the phase of the wave is shifted by: Φ = 2π (x/λ). so the expression for y as a function of x and t becomes y(x,t) = 58.00 cm * sin (2π (3.00 Hz (t- (-x/240 cm/s)) + (x/80cm)))The wave is still traveling in the negative x direction, but the point x = 10.0 cm is now in phase with the rest of the wave, so it is no longer the starting point for the wave.
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how can I be used as an alternative energy sourcehow can I be used as an alternative energy source
Energy may be produced using solar, wind, hydropower, biomass, and geothermal energy without using fossil fuels, which overheat the globe.
How can water be utilised as a different energy source?There are two categories into which the two most popular water energy systems may be placed: hydropower and tidal power. Hydropower is a form of electrical energy produced by falling or moving water (kinetic energy). A turbine that is attached to a generator is turned by the flow of water.Since fossil fuels are not renewable and are exploited on a big scale, they will eventually run out of energy. We will be left with nothing when non-renewable energy sources run out, thus we are working to create alternative energy sources.To learn more about alternative energy refer to:
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A block of mass mmm is pushed up against a spring with spring constant kkk until the spring has been compressed a distance xxx from equilibrium. What is the work done on the block by the spring?
None of these the work done on the block by the spring.
What is work done?Work is the quantity of energy that an external force transfers to an object when that force moves the object a predetermined distance.
Energy transferred to an object by work is measured as the work done on the object.
Work done on an object when it is subjected to a force that causes a change in position in the same direction as the force. Force applied to and displacement caused by an object are the two main parts of work done on it. In order for a force to exert work on an object, the object must be moved along the force's line of action.
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Full question:
A block of mass mmm is pushed up against a spring with spring constant kkk until the spring has been compressed a distance xxx from equilibrium. What is the work done on the block by the spring?
W=kx2
W=kx2
W=−kx2
W=−kx2
W=0
None of these.
Find the direction of the sum of these two vectors: 3.14 m B 30.0° -60.0° 2.71 m
PLEASE I NEED HELP! JUST FOR DIRECTION!!!
Answer:
-28.3°.
Explanation:
To find the direction of the sum of two vectors, we can use the head-to-tail method. This involves placing the tail of one vector at the head of the other vector and drawing a vector from the tail of the first vector to the head of the second vector.
Given the vectors: 3.14 m B 30.0° -60.0° 2.71 m
We can find the x and y components of the vectors first:
Vector 1: 3.14 m B 30.0°
x-component: 3.14 m * cos 30.0° = 2.67 m
y-component: 3.14 m * sin 30.0° = 1.57 m
Vector 2: -60.0° 2.71 m
x-component: 2.71 m * cos -60.0° = -1.36 m
y-component: 2.71 m * sin -60.0° = -2.12 m
To find the sum of the vectors, we add their x-components and y-components
x-component = 2.67 m + (-1.36 m) = 1.31 m
y-component = 1.57 m + (-2.12 m) = -0.55 m
The direction of the vector is the angle that the vector makes with the positive x-axis, so we can use the arctan function to find the angle:
Direction = arctan(y-component/x-component) = arctan(-0.55/1.31) = -28.3°
So the direction of the sum of the vectors is -28.3°.
Can anyone help me with this
Answer:
Explanation:
R-total (parallel) = 1/10 + 1/30 = 0.13 Ω
R-total (series) = 500 + 120 = 620 Ω
Part A: At what angle θ1 to the normal would the first dark ring be observed?
answer is .442o
Part B: Suppose that the light from the pinhole projects onto a screen 3 meters away. What is the radius of the first dark ring on that screen? Notice that the angle from Part A is small enough that sinθ≈tanθ .
Answer is 23.2mm
Part C: The first dark ring forms the boundary for the bright Airy disk at the center of the diffraction pattern. What is the area A of the Airy disk on the screen from Part B? answer must be in mm2
The area of the disk is 72.5mm², the radius of the ring is 23.2 m and the angle formed is 442 degrees.
The area of the Airy disk is calculated by multiplying the radius of the first dark ring by pi.
The radius of the first dark ring from Part B is 23.2mm, so the area of the Airy disk is
A = pi×23.2mm²
= 72.5mm².
This area represents the region on the screen where light is the brightest. As the angle θ1 increases, the radius of the first dark ring and the area of the Airy disk increase as well, resulting in a larger and brighter image.
The area of the Airy disk is also directly proportional to the intensity of the light source, so a brighter light source will result in a larger Airy disk.
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two negatively-charged bodies with - 5.0 x 10- 5 care 0.20 m from each other. what force acts on each particle?
According to the question the force acts on each particle is 561N.
What in science is a force?At this level, calling a force a push and perhaps a pull is entirely appropriate. A charge is not a feature an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.A shove or pull that an object experiences as a result of interacting with another item is known as a force.
Q = 5.0×[tex]10^{-5}[/tex]
d= .20 m
as we know that
F = (K Q1 Q2)/r^2
k = 8.99 × [tex]10^{9}[/tex] N m^2/c^2
F = (8.99 × [tex]10^{9}[/tex] × 5.0×[tex]10^{-5}[/tex] × 5.0×[tex]10^{-5}[/tex])/ [tex].20^{2}[/tex]
= 561N
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A bullet moving with a speed of 200m/s can penetrate a plank 4cm thick. What should be the speed to penetrate the same plank up to 10 cm?
how fast would a 4.2-m-long sports car have to be going past you in order for you to measure its length as only 3.948-m long?
So order for you measure length the sports car's length as being only 3.948 m long, it must be moving past you at cc.
What is used to measure length?Measuring length refers to determining the length of the any object using measuring instruments, such as a ruler, measurement tape, etc. For instance, a ruler can be used to calculate the width of a pencil in inches. A foot scale can be used to gauge each student's height in the class.
Where should length be measured?The length between two places or locations can be expressed as a metre (m), centimeter, or kilometer. A metre (m) is made up of 100 equal portions, each of which is known as a centimeter (cm).
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If the Sun's core suddenly shrank a little bit, what would happen in the Sun?
a.) The core would heat up, causing it to radiate so much energy that it would shrink even more.
b.) The core would heat up, fusion rates would increase, the core would re-expand.
c.) The density of the core would decrease, causing the core to cool off and expand.
d.) The core would cool off and continue to shrink as its density increased.
b.) The core would heat up, fusion rates would increase, the core would re-expand.
What is fusion?
Fusion is the process by which atomic nuclei come together to form a heavier nucleus, releasing large amounts of energy in the process. This is the process that powers the sun and other stars. The most common fusion reaction in the sun is the fusion of hydrogen nuclei to form helium. This reaction takes place in the sun's core, where the temperature is about 15 million degrees Celsius and the pressure is about 340 billion times Earth's atmospheric pressure.
If the sun's core suddenly shrank, the pressure and temperature inside the core would increase. This would cause the fusion rates of hydrogen nuclei to increase, releasing more energy and causing the core to heat up. The increased heat would cause the core to re-expand, as the increased energy would push against the outer layers of the core. The increase of fusion rates would also result in more helium being produced, which would cause the core to shrink again, but this is a slower process than the initial shrinkage.
Hence, if the core shrank a bit fusion rates would increase, the core would re-expand.
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