an electron in a cathode-ray tube is accelerated through a potential difference of 10 kv, then passes through the d

The de broglie wavelength of the bullet of mass 0.081 g is 1.24×10⁻³⁸ m

Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.

To calculate the  de broglie wavelength, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the de broglie wavelength of the bullet is 1.24×10⁻³⁸ m

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Answer:

option (A) is correct.

Explanation:

Newton’s Third Law: Action & Reaction Whenever one object exerts a force on a second object, the second object exerts an equal and opposite force on the first. His third law states that for every action (force) in nature there is an equal and opposite reaction. If object A exerts a force on object B, object B also exerts an equal and opposite force on object A.

Diameter D = 25 inch

Radius r= D/2 = 25/2 = 12.5 inch

"1 ft = 12 inch and 1 mile = 5280 feet". R = 12.5×(1/12)×(1/5280) mile

Revolution n =430 rev./minute , n=430 × 60 rev./hour

Angular speed=2 × pi × n  =2 × pi × n radian per hour  =2 × pi × 430 × 60

a)  Road speed = r × angular speed  

Road speed = 12.5 × (1/12) × (1/5280) × (2 × pi × 430 × 60)

Road speed = 31.98 miles per hour

What is a revolution?

A revolution is a radical transfer in the founded order, often the founded government and social institutions.

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The amplifier is non-inverting amplifier.

What is amplifier?

A circuit that enlarges a signal is called an amplifier. The idea behind an amplifier is to create an output signal that is a copy of the input signal but with a stronger magnitude.

What is non-inverting amplifier?

An operational amplifier circuit with a non-inverting amplifier has an output voltage that is in phase with the input voltage. The inverting op amp, which generates an output signal that is 180 degrees out of phase, is its complement. Its output and input signal are in phase. It just amplifies the signal without altering its phase. It does not invert the phase of the signal, as its name would imply.

The amplifier is non-inverting amplifier.

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The ranking of magnitude of the change in momentum during a 10-second interval for each box from greatest to least is D > A = B > C.

The momentum of an object is defined as the product of mass and velocity of the object.

Mathematically, the formula for the momentum of an object is given as;

P = mv

where;

The change in momentum of an object is defined as the impulse experienced by object.

F = ma

F = m(Δv)/t

Ft = Δmv

J = Ft = Δmv

J = Ft = ΔP

where;

The change in the momentum of the objects during the given time interval is given as;

change in the momentum of object = Impulse experienced by object  

change in the momentum of object = Ft

change in the momentum of A  = 75 N x 10 s = 750 Ns

change in the momentum of B  = 75 N x 10 s = 750 Ns

change in the momentum of C  = 50 N x 10 s = 500 Ns

change in the momentum of D  = 100 N x 10 s = 1000 Ns

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Honey and gasoline have different densities, so the pressure does not double when a liquid's density does.

A liquid's density serves as a gauge for its weight relative to the volume being evaluated. The liquid that weighs more is denser if two distinct liquids are weighed in quantities that are equivalent. It will float on the water if a liquid that is less thick than water is carefully added to the surface of the water.

Due to the various densities of honey and gasoline, the pressure does not double when the density of a liquid does. Since we all know that the acceleration caused by gravity is constant, I made the assumption that the liquid level would remain the same throughout the activity.

Only the variation in density caused by the chemical composition of the substance has an impact on pressure. According to Pascal's Law, the only situation in which a liquid's pressure could possibly double is if the two objects were the same liquid but were at different heights.

Change fluid density to gasoline at a density of 700 kg/m2, with the tank at least partially filled such that there is some water above the pressure gauge. Note the 118.2 kPa pressure measurement on the gauge. Adjust fluid density to 1400 kg/m2, which is similar to honey. Keep track of the pressure reading, 135.2 kPa. Does the pressure double as the liquid's density does? No why or why not

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a)  The value of its capacitance is 0.90 pF

b)  The charge on the capacitor is 15.3 pC

c)  The magnitude of the uniform electric field between the plates is 6.8 N/C.

given that :

are of the parallel plate capacitor = 2.60 cm²

distance d = 2.5 mm

potential =  17 V

a)  The value of its capacitance is :

C = Eo A / d

  = ( 8.85 × 10⁻¹² C² / N . m ) ( 2.60 × 10⁻⁴ m²) / 2.50 × 10⁻³

  = 0.90 × 10⁻¹² F

 = 0.90 pF

b)  The charge on the capacitor is :

q = CVo

q = 0.90 × 10⁻¹² F × 17 V

q = 15.3 × 10⁻¹² C

q = 15.3 pC

c) The magnitude of the uniform electric field between the plates is :

E = Vo / d

E = 17 / 2.50 × 10⁻³

E = 6.8 N/C

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Answer:

option(c) Epicenter

Explanation:

Hypocenter or the focus is the point where an earthquake or an underground explosion originates. center is the point that's directly above the focus on the face of the earth.

During earthquakes, utmost of the time it's the center that encounters topmost damage. The word center was deduced from the Latin word ‘ epicentrum ’ meaning positioned on a center.

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A toroidal solenoid has 1664 turns.

The rate of current is across it is 1142.86 A/s.

What is a solenoid?

A solenoid is a machine made of a casing, a coil of wire, and a moving plunger (armature). A magnetic field that generates around the coil when an electrical current is applied pulls the plunger in. A solenoid, to put it simply, transforms electrical energy into mechanical work.

Given,

Length L = 2[tex]\pi[/tex]r

= 2[tex]\pi[/tex]×0.058 = 0.3644 m

L = [tex]u_{o}[/tex][tex]N^{2}[/tex]A/l

N= [tex]\sqrt{LXl/u_{oA} }[/tex]

N = [tex]\sqrt{2.1X10^{-3}X0.3644/4\pi X10^{-7}X2.2X10^{-4}}[/tex]

N= 1664 turns

B) V = L [tex]\frac{dl}{dt}[/tex]

[tex]\frac{dl}{dt}[/tex] = [tex]\frac{V}{L}[/tex] = [tex]\frac{2.4}{2.1X10^{-3} }[/tex]

[tex]\frac{dl}{dt}[/tex] = 1142.86 A/s

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The original velocity of the large train before the bump will be 3.999 cm/s.

Velocity can be defined as the rate of change distance with respect to time.

According to the law of conservation of momentum,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

m₁ = mass of the first model electric train = 5.50 kg = 5500 g

u₁ = initial velocity of the first model train

m₂ = mass of the second model electric train = 550.0 g

u₂ = 0 m/s as it is at rest

v₁ = final velocity of the first model train after collision = 3.2727 cm/s

v₂ = final velocity of the second model train after collision = 7.2727 cm/s

By putting the values in the main equation, u₁ can be calculated,

5500*u₁ + 550*0 = 5500*3.2727 + 550*7.2727

5500*u₁ = 17999.85 + 3999.985

5500*u₁ = 21999.835

u₁ = 21999.835/5500

u₁ = 3.999 cm/s

The original velocity of the large train before the bump will be 3.999 cm/s.

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According to estimates, the Night Sky alone contains between ten million and one billion supermassive black holes.

The singularity, the outside and inner event horizons, and black holes all have three "layers." A black wall's event horizon is the area surrounding its mouth beyond which light cannot travel. A particle cannot depart the event horizon once it has done so.

Black holes are numerous, but there is no need to be alarmed because they will not eat the Earth or the entire universe. The possibility of Earth ever being absorbed by a black storm is utterly remote. This is because their gravitational influence is less powerful at a distance.

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Electrostatic forces, which induce attraction of repulsion between particles, are caused by the electric charges of the particles. The speed of the electron blasted from electron gun is 13.25 x 106 m/s.

An electron appears to be a subatomic particle with a negative charge whether it is linked to an atom or not (not bound). Along with the protons and neutrons, electrons are one of the three primary types of particles that make up an atom.

In order to assist developers in producing cross-platform desktop applications utilizing JavaScript, HTML, and CSS, GitHub built the open source package known as Electron. This is accomplished by Electron by combining Chromium and Node. Using JavaScript, it is feasible to combine apps for Apple, Windows, and Linux into a single runtime.

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The length of time that an action or state persists. The given L-shaped object made of two rods oscillates at a frequency of 2π√√2L/3g.

The rod weighs m grams.

The length of a single rod is L.

If it is connecting at, as indicated by the query, then the moment of inertia of the combined system follows.

mL²/3+3L²/3=2mL²/3

Here, I denotes the rod's moment of inertia, d denotes the separation of the center of gravity from the fixed point, and T denotes the length of time the L-shaped object oscillates.

Length of pendulam

Lcos45=L*1/√2=L/√2

Caluclate the time period

T=2π√I/mgl

=2π√2*mL²*√2/3*2mgl

oscillates at a frequency = 2π√√2L/3g

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The magnitude of the net force causing the block’s acceleration is 8N.

We know that,

                         [tex]F_{x} = mg* cos\alpha[/tex] (force along x - axis) and

                         [tex]F_{y} = mg* sin\alpha[/tex] (force along y - axis)

The magnitude of net force is given by :

                         [tex]F_{net} = \sqrt{F_{x} ^{2} + F_{y} ^{2} }[/tex]

                         [tex]F_{net} = \sqrt{(mg*cos\alpha )^{2} + (mg*sin\alpha )^{2} } \\F_{net} = \sqrt{(mg)^{2}[ (cos\alpha) ^{2}+(sin\alpha) ^{2} ] } \\F_{net} = mg[/tex]

Given, weight = 8N and angle [tex]\alpha =[/tex] 15°

We know that F (force) = ma = mg = weight

Putting these values in above equation we get ,

                          [tex]F_{net} = 8N[/tex]

So the magnitude of the net force causing the block’s acceleration is 8N.  

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Specific heat of gold, aluminum, and water. The rank of these three substances from the least expected temperature change to the greatest expected temperature change is

                                     water > aluminum > gold

• Specific heat is the amount of heat required to raise the temperature of 1 kilogram of a substance by 1∘C.  

• Aluminum's specific heat is 0.216 calories/gm·°C, which is equal to 7 times more than that of gold (0.031 calories/gm·°C). and Water has the highest specific heat capacity of any liquid and solid substance.

• The specific heat of gold is lesser than aluminum and the specific heat of aluminum is lesser than water, which means less heat is required to raise the temperature of gold by a certain difference in temperature.

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According to question the longest wavelength in the lyman series and in which region of the electromagnetic spectrum does it lie is 122nm.

When an electron transitions from the smallest energy level of n = 1 to n = 2 (here n is the primary quantum number), known as the Lyman series, it emits ultraviolet light from the hydrogen atom in a sequence of changes.

Rydberg equation: 1/L = R(1/n2 - 1/m2)

where L is wavelength, R is Rydberg constant, m and n are quantum numbers of levels involved in transition.

Longest wavelength in Lyman series: n = 1, m = 2

1/L = 1.097 x 107 x (1/1 - 1/2)

L = 1.22 x 10-7 m = 122 nm

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a) The velocity as the Physics Astone hits the ground be 29.69 m/s.

b) Time to reach  on the ground be 3.03 second.

c)   Velocity after 0 sec​ of falling is zero.

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Given that:  Physics Astone is dropped from a 45m tall building.

Acceleration due to gravity: g = 9.8 m/s^2.

So,

a) velocity as it hits the ground = √(2gh) = 29.69 m/s.

b) Time to reach  on the ground = velocity/acceleration = 29.69/9.8 second = 3.03 second.

c)  Velocity after 0 sec​ of falling is zero.

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Numerous forces are applied to the block in a circular route; the forces at the path's lowest point are as follows. Vertically and downwards, the weight that the Earth exerts on the body.

Component examples include a single button on a graphical user interface, a tiny interest calculator, and an interface to a database management. On various servers throughout a network, components may be set up and can connect with one another to provide the required services.

With the use of simple component analysis, you may condense a huge number of closely linked variables into a manageable amount of useful components. However, it offers a more understandable resolution. It is comparable to principal component analysis.

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If the given speed of any atom in a monatomic state of an ideal gas were doubled, then by using four factor we would multiplied the Kelvin present temperature of the gas. Option (a) is correct.

We recollect a monatomic best fueloline having debris of mass m that don't engage and whose middle of mass stays at rest. For a monatomic best fueloline (which include helium, neon, or argon), the most effective contribution to the strength comes from translational kinetic strength. The common translational kinetic strength of a unmarried atom relies upon most effective at the fueloline temperature and is given through the equation: Kavg = 3/2 kt.

These are helium, neon, argon, krypton, xenon, and radon. Noble gases have a complete outer valence shell making them as an alternative non-reactive species. Many gases which include nitrogen, oxygen, hydrogen, noble gases, a few heavier gases like carbon dioxide and combinations which include air, may be dealt with as best gases inside affordable tolerances over a significant parameter variety round widespread temperature and pressure.

We know that,

K.E = (1/2) m*[tex]V^{2}[/tex]

If we doubled the speed then 2*2=4 times its affect the temperature.

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However, there are no other forces in space than gravity and friction. After the tank is tossed, the astronaut's ultimate speed in relation to the shuttle is 4.7 m/s.

Despite this, there are no other forces in space than gravity and friction. Only the conversion of momentum is taking place here.

The equation m1v1=m2v2

Where, m1-mass (first object) is 61.0 kg and m2-mass (second object) is 12 kg, and v1-velocity (first object) is and v2-velocity (second object) is respectively.

Formulate the value as 61xv1=12x12.2 v1=4.7m/s.

After the tank is tossed, the astronaut's final speed relative to the shuttle is 1.9 m/s, we can infer.

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Frequency that the block oscillate with both springs attached is 45 Hz.

Let the spring constants be k₁ and k₂.

When displaced from equilibrium, the magnitude of the net force exerted by the springs is |k₁x + k₂x| acting in a direction so as to return the block to its equilibrium position ( x = 0 ).

Since the acceleration a = d²x / d², Newton’s second law yields,

m( d²x / d² ) = - k₁x - k₂x,

Substituting x = x(m) cos ( ωt + Φ) and simplifying we find

ω² = (k₁ + k₂) / m

where ω is in radians per unit time. Since there are 2π radians in a cycle, and frequency f measures cycles per second, we obtain  

f = ω / 2π = 1 / 2π (√k₁ + k₂ / m)

The single springs each acting alone would produce simple harmonic motions of frequency

f₁ = 1 / 2π √(k₁ / m) = 30 Hz

f₂ = 1 / 2π √(k₂ / m) = 45 Hz

respectively, Comparing these expressions, the frequency will be

f = √(f₁² + f₂²)

f = √(30² + 45²)

f = 45 Hz

Therefore, frequency that the block oscillate with both springs attached is 45 Hz.

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The ratio of the capsule’s speed, as measured on the spaceship, to the speed of light; μ/c 1/4.

For the stated question-

Consider sending a communication capsule to an incoming spacecraft at 0.25c relative to the Earth's randomized variablesv = 0.25 c.

Thus,

Let capsule’s speed is μ = 0.25 c.

Speed of light is c.

Then, ratio;

Capsule’s speed/Speed of light = 0.25 c/c

Capsule’s speed/Speed of light = 0.25

Capsule’s speed/Speed of light = 25/100

Capsule’s speed/Speed of light = 1/4

Thus, the ratio of capsule’s speed/Speed of light is found as 1/4.

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For laminar flow of air over flat plates with uniform surface temperature, the curve that most closely describes how the average heat transfer coefficient changes with the length of the plate is option D.

Laminar flow is described as airflow in which the entire body of air inside a specific location moves at a constant speed and in a single direction.

This layer of air has a tendency to stick to the wing because air has viscosity. The boundary layer initially glides over the airfoil's streamlined shape as the wing goes forward through the air. The boundary layer and flow are both laminar in this situation.

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No material object can reach or exceed the speed of light is the assumption.

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The rate at which an object changes its velocity is known as acceleration, a vector quantity.

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Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the perspective of psychology

There are various psychological perspectives on and explanations for human behavior. When examining how people think, feel, and behave, psychologists draw on a range of views.

4 main psychological viewpoints

The majority of ideas and studies that aim to comprehend the cognitive, emotional, and behavioral processes that humans encounter on a daily basis are built around these objectives.

Cognitive, behavioral, psychodynamic, humanistic, biological, sociocultural, and evolutionary views are the main ones in psychology that have recently arisen.

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a) 92% Confidence interval: (1027.5,1048.5)

b) Sample size = 100

What is Sample size?

The process of deciding how many observations or replicates to include in a statistical sample is known as sample size determination. Any empirical study with the aim of drawing conclusions about a population from a sample must take into account the sample size as a crucial component.

We are given the following in the question:

Sample mean,  = 1038

Sample size, n = 25

Alpha, α = 0.08

Population standard deviation, σ = 30

a) 92% Confidence interval:

[tex]$\mu \pm z_{\text {critical }} \frac{\sigma}{\sqrt{n}}$[/tex]

Putting the values, we get,

[tex]$z_{\text {critical }}$[/tex] at [tex]$\alpha_{0.08}=\pm 1.75$[/tex]

[tex]$1038 \pm 1.75\left(\frac{30}{\sqrt{25}}\right)=1038 \pm 10.5=(1027.5,1048.5)$[/tex]

b) In order to reduce the confidence interval by half, we have to quadruple the sample size.

Thus,

Sample size [tex]$=25 \times 4=100$[/tex]

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The critical angle for the following materials surrounded by air is a) θc = 44.21⁰.

b) θc = 41.14⁰

c)  θc = 40.36⁰

What is critical angle ?

The angle of incidence at which the angle of refraction equals 90 degrees is known as the critical angle. When light enters a denser media from such a comparatively rarer medium, the orientation of light changes as well as the light beam bending towards the normal.

sin θ = n2/n1

For air,

n₂ = 1

so,

sin θ =  1/n1

(a) fluorite : n₁ = 1.434⁰

sin θ = 0.697                   θc = 44.21⁰.

(b) crown glass: n₁ = 1.52⁰  

sin θ = 0.657                   θc = 41.14⁰.

(c) sodium chloride : n₁= 1.544⁰

sin θ = 0.647                   θc = 40.36⁰.

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ω is the same for all satellites.

T = ω2 mL, scaled as the product of m and L

a) milliliters = 800*5000 = 4*10^6

b) milliliters = 100*2500 = 0.25*10^6

c) milliliters = 100*10000 = 1*10^6

d) milliliters = 200*5000 = 1*10^6

e) milliliters = 300*7500 = 2.25*10^6

f) milliliters = 400*2500 = 1*10^6

a, e, c=d=f, b

A satellite or artificial satellite is an object intentionally placed in orbit in space.

Apart from passive satellites, most satellites have power generation systems for onboard equipment such as: B. Solar panels or thermoelectric radioactive isotope generators (RTG). Most satellites also have a way of communicating with ground stations called transponders.

Many satellites use standardized buses to save cost and effort, but the most popular are the smaller CubeSats.

Satellites are launched by rockets from the Earth's surface high enough to avoid their orbits collapsing in the atmosphere. The satellite can then change or maintain its orbit by means of propulsion, usually chemical or ion thrusters.

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The potential energy of the skier decreases as it moves down the slope. There is a change in mechanical forms of energy that take place when a skier is skiing down the slope. Potential energy changes into kinetic energy down the ski slope.

At the height of the slope, the skier has total potential energy. When it starts slipping, it lowers in height, and thus potential energy decreases. As it gains, speed down the slope, its kinetic energy increases.

So, there is loss of potential energy into kinetic energy. Reaching at the bottom, height decreases to zero, and thus, potential energy also becomes zero. At this time, kinetic energy is maximum before stopping. Due to friction of the surface, kinetic energy is dissipated into the surface, and kinetic energy also becomes zero.

At any point of time during skiing, the total mechanical energy ( potential + kinetic) remains the same for the skier.

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