The wavelength of light will the first-order dark fringe is 1.205 μm.
Calculation:-
We know that, for the 1st order dark fringe, we have
y(dark,0 )= ( 0 + 1/2)*λ*L/d
0.00484 m =( 0.5*λ*3 ) /0.00037376
= λ =( 0.00484*0.00037376)/(0.5*3)
= λ = 1205*10^-9 m
= 1.205 μm
The wavelength of light determines its color and the wavelength of sound determines its pitch. Wavelength is the gap among two wave crests and the equal for wave troughs. Frequency is the variety of oscillations that bypass through a specific point in a single 2d, measured in cycles according to 2nd. the distance among peaks is called the wavelength.
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a ball of mass m is attached to a light string of length l. the ball is held with the string horizontal as shown in the diagram below. then, the ball is released. what is the tension in the string when the ball is at its lowest point?
Therefore, the tension in the string at its lowest point is equal to the weight added to the required centripetal force.
The rope tension is always directed towards the center of the circle. Below it means tension is UP and gravity is DOWN. At the top, downward gravity provides the necessary centripetal force. Therefore the voltage is 0. At the bottom, tension must provide the necessary centripetal force and balance gravity equal to mg downwards. Zero voltage is loose. Strings and ropes are often idealized as dimensions with length but no mass and zero cross-section.
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briefly describe how rising and or sinking air (low pressure and high pressure air masses) in the atmosphere can be the explanation for: a. i. clear day (virtually cloudless sky)
Low-pressure areas experience restless weather with precipitation and storms, while high-pressure areas experience consistently dry weather over extended periods of time.
Air pressure, also called atmospheric pressure, is caused by the volume of air molecules in the atmosphere and exerts a force on the earth through gravity. Barometric pressure varies according to various conditions, and high and low pressure indicates a particular type of weather.
Ascending air creates a low pressure system and descending air creates a high pressure.
A depression is a large mass of air that rises because the ground or water below is warm. Air heats up, expands, and becomes less dense. If the air parcel also contains water, it will be lighter in weight due to water vapor, whose molecules are lighter than air molecules. The end result is moist, less dense air that rises in the upper atmosphere and begins to cool.
A minimum temperature of degrees tends to be erratic weather, with the potential for clouds, high winds and precipitation. Storms and hurricanes can form as low pressure systems intensify.
A high-pressure system is cold air that moves from the upper layers of the atmosphere to the surface. Air becomes denser as it descends, and water evaporates into air masses. There is no cloud-forming water and the air is stable, clean and dry. Low humidity creates high air pressure, which is usually relieved. However, if the high-pressure dense air becomes too warm, drought can occur.
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A ball weighing 20 newtons rolls 20 meters in a straight line on a leve surface. What is its change in potential energy?
A 0J
B 1J
C 40J
D 400 J
Answer:
A
Explanation:
Potential energy = m g h unless h changes there is zero PE change
how much work is required, using an ideal carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment?
71.43 J of work is required, using an ideal Carnot refrigerator, to remove 1 j of heat energy from helium at 4 k and eject this heat to a room temperature (293 k) environment
coefficient of performance = T / ΔT
= 4 / 293 - 4 = 0.014
Qc (heat) = work * coefficient of performance
work = Qc / coefficient of performance
= 1 / 0.014 = 71.43 J
71.43 J of work is required
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How does heat transfer happen in conduction?
(A) A hotter object passes thermal energy to a colder object by touching it so their particles bump into each
other.
(B) A hotter object reaches thermal equilibrium and gives its extra heat particles away to nearby objects.
(C) A hotter object is placed on one side of an insulator and a colder object is placed on the other side of
the insulator.
(D) A hotter object has particles that spread through the air as gases and warm the air near the colder
object.
Answer:
(A) conduction implies that the objects are in contact
A dolphin swims with an average velocity of 3 km/h. How far has the dolphin traveled after 2 h?.
dolphin traveled after 2 h is equal to 6 km .
What is velocity ?
Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.
Velocity is a physical vector quantity. Both magnitude and direction are required to define it. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1). An object is said to be accelerating if its velocity, direction, or both change.
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The diagram shows a 2.0-kilogram cart traveling at a constant speed in a horizontal circle of radius 3.0 meters. The magnitude of the centripetal force of the cart is 24
newtons. What is the speed of the cart?
a) 6.0 m/s
b) 16 m/s
c) 36 m/s
d) 4.0 m/s
A 2.0-kilogram cart traveling at a constant speed in a horizontal circle of radius 3.0 meters. The magnitude of the centripetal force of the cart is 24 newtons. The speed of the car is 6 m/s. Thus, Option A is the correct answer.
To find the speed, the given values are,
Mass m = 2 Kg
Radius r =3 meters
Centripetal force = 24 Newtons.
What is Centripetal force?A centripetal force is the force which is made up of two Latin words centrum which means center and peterum which means to seek.
It is defined a force which make a body to follow a curved path. The direction of this force is always orthogonal to the body's motion and it is always towards the fixed point which is instantaneous center of the path's curvature.
Centripetal force is expressed according to the formula;
F = mv²/r
m is the mass of the body
v is the speed of the cart
r is the radius
Substituting the values into the formula and get v,
24 = 2v²/3
24×3 = 2v²
72 = 2v²
v² = 72/2
v² = 36
v =√36
v = 6m/s
Hence, the speed of the cart is 6m/s. Thus, Option A is the correct answer.
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consider a tug-of-war where scales are at opposite ends of the rope. is it possible for the scales to have different readings when participants pull?
There are two forces at play in a tug of war. The force produced by stretching the rope is indeed called tension. This power drives these people forward.
Another force acting on them is the friction of the soles of the feet. In tug-of-war, if two teams exert the same force on the rope, the net force on the rope is zero, so the rope stays in the same place. A rope has zero tension when both ends of the rope are pulled by two opposing forces of 100 N each. This is because both forces have the same magnitude but act in opposite directions on the same object and cancel each other out.
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onsider the following: i. the speed of the observer; ii. the speed of the source; iii. the loudness of the sound. in the doppler effect for sound waves, which factors affect the frequency that the observer hears?
Inside the doppler impact, elements that have an effect on the frequency of sound waves consist of; the speed of the source and the velocity of the observer.
The rate of alternate inside the function of an object in any route. velocity is measured because of the ratio of distance to the time in which the space became covered. speed is a scalar amount because it has the handiest route and no importance.
Speed can be the notion of the rate at which an item covers distance. A short-shifting object has a excessive velocity and covers a substantially huge distance in a given amount of time, even as a gradual-moving item covers a relatively small amount of distance in the equal amount of time.
The primary unit or the S.I. unit of speed is m/s or ms⁻¹.
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Although ________ satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
Although GEO Satellites are the most expensive to build and launch, they also have the longest orbital life of many years.
A satellite or artificial satellite tv for pc is an object intentionally located in orbit in an outer area. besides passive satellites, most satellites have an electricity generation gadget for devices on board, consisting of solar panels or radioisotope thermoelectric turbines.
In fact, they make a contribution to our nicely-being and give us the chance for us to fulfill many crucial needs and demanding situations in the world. they are beneficial in lots of fields, which include Earth commentary, communications, navigation, and science. satellite tv for pc statistics helps: guide the economic system.
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in which spatial technique do objects placed lower on the picture plane appear to be closer than objects placed higher on the picture plane?
High-low placement is a spatial technique do objects placed lower on the picture plane appear to be closer than objects placed higher on the picture plane
It is an illusion to the eye created by the artist , to give a 3 Dimension effect on a picture plane . It is very obvious that we can only show 2D on plane , but to also show changes in z axis , this technique is been used
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What are 2 examples of physical contamination?.
Glass, metal, rubber, bone, wood, stone, and plastic are a few of the more prevalent types of physical contaminants. Here is a closer examination of how some of those pollutants enter food goods.
Which of these 4 contamination kinds are they?Given the dire consequences if they don't, food manufacturers must take all reasonable precautions to prevent contamination and produce safe products. Physical, biological, chemical, and allergenic contamination of food are the four different types.
Food that has been contaminated biologically can be caused by human or animal waste, rodent droppings, pests, or microorganisms. This includes contamination caused by bacteria, viruses, or parasites that are spread through blood, feces, pest droppings, saliva, or other bodily fluids.
Chemical pollutants are substances hazardous to aquatic plants and animals.
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The colors violet, blue, green, yellow and red with their respective wavelengths ranging from 400nm to 650nm are from what part of the spectrum specifically.
Answer:
Explanation:
This is visible light.
The colors violet, blue, green, yellow and red having the given range of wavelength, comes at the part of visible light in the spectrum.
What is meant by electromagnetic spectrum ?Electromagnetic spectrum is the arrangement of electromagnetic radiations in the order of their increasing frequency and decreasing wavelength.
Here,
The colors violet, blue, green, yellow and red are given according to their wavelengths ranging from 400 nm to 650 nm.
The electromagnetic spectrum includes the various radiations, which are arranged accordingly from the longest to shortest wavelength and from the lowest to the highest frequency.
The spectrum includes the range from the radio waves to gamma rays.
In this, the radio waves lies in the frequency range of about 3 x 10¹¹ Hz and wavelength greater than 1 nm and the spectrum extends upto the gamma rays that lies in the frequency range of 10²⁰- 10²⁴ Hz and wavelength less than 10⁻¹²m.
The given data of colors have a wavelength range of 400 nm to 650 nm. Therefore, the given colors can be placed at the part of visible light whose wavelength lies between 400 nm to 750 nm, in the spectrum.
Hence,
The colors violet, blue, green, yellow and red having the given range of wavelength, comes at the part of visible light in the spectrum.
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A ball was kicked from ground with an initial velocity 4 m/s. at an angle
of 30° above the horizon.
a) At what time does the ball fall back and hits the ground?
b) What is the horizontal range of the projectile?
The ball will hit the ground after 0.408 sec and the horizontal range of the projectile is 1.414 m.
What is Projectile Motion?When a particle throws obliquely near the surface, it follows along a curved path under constant acceleration directed towards the center of the earth. The path followed by the particle and the motion is called projectile motion.
Consider the 'u' is the initial velocity of the particle and θ is the angle with the horizon,
The time of the flight = (2u sinθ)/g
The horizontal range (R) = (u² sin2θ)/g
Given, the initial velocity of the projectile, u 4 m/3
The angle above the horizon, θ = 30°
The time the ball falls back and hits the ground (t):
t = (2u sinθ)/g = (2 × 4 sin30)/9.8 = 0.408 s
The horizontal range (R) of the projectile = (u² sin2θ)/g
R = (4² sin60)/9.8
R = 1.413 m
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John take measurements of position vs. time and plots the points on a graph. Find the slope of the line connecting the points (9, -8) and (-9, -7). Leave your answer as a decimal correct to three decimal places.
The slope of the line connecting the points (9, -8) and (-9, -7) will be
- 0.056
x1 = 9
y1 = -8
x2 = -9
y2 = -7
m = ( y2 - y1 ) / ( x2 - x1 )
= -7 + 8 / -9 - 9
= 1 / - 18 = - 0.056
The slope of the position vs. time graph will be - 0.056
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The moon is held in its orbit around Earth by gravity. The moon also feels a gravitational pull from the sun. Which of the following is true? a The force of the moon acting on the sun is equal to the force of the sun acting on the moon. b The force of the sun acting on the moon is greater than the force of the moon acting on the sun. c The force of the sun acting on the moon is less than the force of the moon acting on the sun. d The force of the is moon acting on the sun is greater than the force of the sun acting on the moon.
Answer:
Explanation:
The moon is held in its orbit around Earth by gravity. The moon also feels a gravitational pull from the sun. Which of the following is true?
According to Newton's third law, the interaction forces are the same.
(a) The force of the moon acting on the sun is equal to the force of the sun acting on the moon.
How much force in Newtons is required to accelerate a shotput weighing 4kg at 21 m/s2?
Answer:
[tex] \Huge{\boxed{84 N}} [/tex]
Explanation:
The amount of force required here can be found by using the formula
force = mass × accelerationwhere
mass is in kg
acceleration in m/s²
From the question
mass = 4 kg
acceleration= 21 m/s²
We have
force = 4 × 21 = 84
We have the final answer as
84 NFor an enzyme that displays michaelis-menten kinetics, what is the effect on km of doubling the concentration of substrate?.
Tripling the enzyme only increases the number of workers who still happen to randomly collide with the vast quantities of substrate while operating at 50% of their capacity.
When the enzyme is administered, the Km does not vary regardless of how or in what ways the condition changes because the Km is only tied to the enzyme.Since Km is a constant, raising the substrate concentration has no impact on it at all. According to the relationship between Km and substrate concentration, Km is the substrate concentration at which the enzyme-catalyzed reaction occurs at a rate that is half that of the maximal reaction rate, or Vmax.The delta G of a reaction won't change if the enzyme concentration is doubled. Specialized proteins called enzymes are employed to catalyze or hasten chemical reactions. Despite speeding up the reaction as a whole, they have no impact on the net energy change.To know more about enzyme
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A batter applies an average force of 8000 n to a baseball for 1. 1 ms. What is the magnitude of the impulse delivered to the baseball by the bat?.
Using the concepts of impulse, we got that 8.8Nsec is the the magnitude of the impulse delivered to the baseball by the bat when a batter applies an average force of 8000 n to a baseball for 1. 1 ms.
In classical mechanics, impulse (symbolized by J or Imp) is integral of a force, F, over the time interval, t, for which it acts. Since force is the vector quantity, impulse is also a vector quantity. Impulse applied to the object produces the equivalent vector change in its linear momentum, also in the resultant direction.
We know very well that impulse is given by =Force × Time
We have magnitude of force is 8000Newton and time is 1ms which is equivalent to (1/1000)sec.
Therefore, impulse value is =Force × Time
=>impulse=8000×(1.1)×(1/1000)
=>impulse=8×1.1
=>impulse=8.8Nsec
Hence, when A batter applies an average force of 8000 n to a baseball for 1. 1 ms, the magnitude of the impulse delivered to the baseball by the bat is 8.8Nsec.
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Which object weighs more on Earth (g=10 m/s2)?
The object (2) in the table is the object that would weigh highest on earth.
What is the mass of each of the materials?We know that the mass of the object would be constant irrespective of the place where the object is weighed. The weight of the object on the other hand is dependent on the location where the object is weighed. If the object is weighed on earth, the weight of the object would be dependent on the value of the acceleration due to gravity of the object.
Let us obtain the masses of each of the materials;
Using force = mass * acceleration
mass = force/acceleration
1) 80 /5.5 = 14.5 Kg (Weight = 145 N)
2) 55/2.0 = 27.5 Kg (Weight = 275 N)
3) 23/3.7 = 6.2 Kg (Weight = 62 Kg
4) 63/6.0 = 10.5 Kg (Weight = 105 N)
The weight of the object (2) is the heaviest on earth.
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a(n) ? high voltage meter is a voltmeter specifically designed to take measurements on high voltage cables.
Contact High Voltage Voltmeter.The gadget is often put through high voltage testing to ensure that it can function safely under the specified electrical conditions.
A voltage metre, usually referred to as a voltmeter, is a device that measures the voltage, or potential difference, between two points in an electrical or electronic circuit. While some voltmeters are made to work with circuits that use alternating current (AC), others are made to work with circuits that use direct current (DC).. Radio frequency (RF) voltage can be measured using specialised voltmeters.
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a car is driving over a hill with a radius of curvature of 60 meters. how fast mustthe car be going in order for the driver to feel weightless?
A car is driving over a hill with a radius of curvature of 60 meters . With a speed of 24.25 m/s the car be going in order for the driver to feel weightless
m[tex]v^{2}[/tex] / r + Normal = mg
for weightless Normal = 0
m[tex]v^{2}[/tex] / r = mg
v = [tex]\sqrt{rg}[/tex]
v = [tex]\sqrt{60 * 9.8}[/tex] = 24.25 m/s
A car is driving over a hill with a radius of curvature of 60 meters. With a speed of 24.25 m/s the car be going in order for the driver to feel weightless
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what is the angular momentum of a 0.310 kg ball rotating on the end of a thin string in a circle of radius 1.45 m at an angular speed of 10.6 rad/s ?
4.76 kg [tex]m^{2} / sec[/tex] will be the angular momentum of a 0.310 kg ball rotating on the end of a thin string in a circle of radius 1.45 m at an angular speed of 10.6 rad/s
L = m*v*r
m = mass
v = velocity
r = radius
L (angular momentum ) = m*v*r
= 0.310 * 1.45 * 10.6
= 4.76 kg [tex]m^{2} / sec[/tex]
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Characteristics, such as field name and data type, are_____ that define a field.
Characteristics, such as field name and data type are properties that define a field.
What are the properties of a given discipline or research field?The properties of a given discipline or research field are those that characterize the use of a particular type of information within the range of the attained field.
For example, genomics is a field characterized to make use of sequencing data, which refers to the linear order of nucleotides in the DNA sequence to provide useful information about the gene content and the presence of regulatory non-coding sequences.
Therefore, with this data, we can see that the properties of a given discipline or research field are mainly associated with the type of information that such discipline uses to make predictions in a given research and they are also related to the outcomes we can expect from such data.
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explain the difference between the velocity and acceleration of an object.
Answer:
See below
Explanation:
Velocity is how fast an object is moving....acceleration is how fast the velocity is changing .
A 0.87 kg projectile is fired into the air from the top of a 8.52 m cliff above a valley. Its initial velocity is 9.1 m/s at 49◦ above the horizontal. How long is the projectile in the air? The acceleration due to gravity is 9.8 m/s.
Answer in units of s.
By adding the time of flight at the top of the cliff and the time taken down the hill, the ball spent 2.72 s of time in air.
What is a Projectile ?A projectile can be a stone or a ball or any object that can be projected. The object projected will take a trajectory path.
Given that acceleration due to gravity is 9.8 m/s and a 0.87 kg projectile is fired into the air from the top of a 8.52 m cliff above a valley. Its initial velocity is 9.1 m/s at 49◦ above the horizontal. To know how long the projectile will be in the air, we will calculate the total time of flight at the top of the cliff and the time taken down the hill
Time of flight T = 2usinФ/g
Where
g = m/s²Ф = 49°h = 8.52 mu = 9.1 m/st = ?m = 0.87 kgSubstitute all the necessary parameters into the formula
T = (2 × 9.1sin49)/ 9.8
T = 13.74/9.8
T = 1.40 s
The time taken down the cliff can be found with formula
h = ut + 1/2gt²
where u = 0
8.52 = 0 + 1/2 × 9.8 × t²
8.52 = 4.9t²
t² = 8.52/4.9
t² = 1.738
t = √1.738
t = 1.32 s
Time for the projectile in the air = T + t
Time in air = 1.40 + 1.32
Time = 2.72 s
Therefore, the projectile will be in the air for 2.72 seconds long.
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Mercury has an orbital period of about 88 Earth days. Find the semimajor axis of its
orbit. Remember that the mass of the sun is 1.988 x 1030 kg.
Answer:Since Mercury's period is 88 days (page 182), the period of this hypothetical planet would be 0.354 ´ 88 = 31 days
Explanation: I hope this is correct
The prices of the different units of volume and mass of mercury are as follows as the Price of one pound of mercury = $2.059
What is the price of the intermediate volumes of Mercury?The price of the intermediate volumes of Mercury are determined as follows:Price of 1 g of mercury = $0.00454, Price of 1 cm³ of mercury = $0.0614 and Price of 1 in³ of mercury is $0.996 and Price of 1 g of mercury = $0.00454, Price of 1 cm³ of mercury = $0.0614 and Price of 1 in³ of mercury is $0.996
b. 1 pound = 453.592 g
76 pounds = 76 * 453.592 g = 34473 gPrice of 1 g of mercury = $156.50/34473 Price of 1 g of mercury = $0.00454
Volume of 34473 g of mercury = 34473/13.534
Volume of 34473 g of mercury = 2547.14 cm³
Price of 1 cm³ of mercury = $156.50/2547.14 cm³
Price of 1 cm³ of mercury = $0.0614 Price of 1 in³ of mercury:
1 cm³ = 0.0610 in³
2547.14 cm³ = 2547.14 * 0.0610 in³
2547.14 cm³ = 157.02 in³
Price of 1 in³ of mercury = 156.5/157.02
Price of 1 in³ of mercury = $0.996
In conclusion, the prices of the different units of volume and mass of mercury are found by conversion.
Therefore, Mercury has an orbital period of about 88 Earth days.
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Semiconductor materials with band gaps greater than 3. 5 ev are considered to be a?.
Semiconductor materials are categorized as insulators if their band gaps are bigger than 3 and 5 eV.
An electron can easily move from the valence band to the conduction band in the presence of external thermal energy because semiconductor materials have low but finite band gap energies. The usual band gap energy range of semiconductor materials is 0.5eV–3eV.
Contrary to ordinary semiconductors like silicon, which have bandgaps in the range of 0.6 to 1.5 eV, wide-bandgap materials have bandgaps above 2 eV. In a p-type semiconductor, the majority of the carriers are holes, while the minority are electrons.
The advancement of communications, computing, healthcare, military systems, transportation, clean energy, and numerous more uses is made possible by semiconductors, which are a crucial part of electronic equipment.
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The acceleration of an object is ____________ related to the mass of the object.
Answer:
the acceleration of an object is directly related to the mass of the object
If a 2 kg rock has 196 j of gravitation potential energy, calculate the height of the rock to the nearest meter.
Answer: 10 meters
Explanation:
Gravitational potential energy equation= [tex]E_{G[/tex]=mgh
When we rearrange using Algebra we get [tex]h=\frac{E_{G} }{mg}[/tex]
Plugging everything in we get [tex]h=\frac{196J}{(9.80m/s^2)(2kg)}[/tex]
Final answer is 10 meters