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Questions and Answers

What is the potential energy of a point particle of mass in region I?

  • Zero (correct)
  • Depends on the speed
  • Undefined
  • Non-zero

    • What is the direction of the impulsive force at the boundary in region II?

  • In the x-direction
  • In the positive y-direction
  • In the y-direction
  • In the negative x-direction (correct)

    • What is the dimension of linear momentum in the given system of units?

  • L^3
  • L^1 (correct)
  • L^0
  • L^2

    • What is the dimension of surface tension in the given system of units?

    <p>L^1</p> Signup and view all the answers

    What is the location of the point charge in the given problem?

    <p>At the center of the shell</p> Signup and view all the answers

    What is the condition for the refractive indices of the prism when the ray emerges out at a grazing angle?

    <p>$n_1\sin A = n_2\sin B$</p> Signup and view all the answers

    What is the direction of the electric field inside the hollow spherical conducting shell?

    <p>Radial</p> Signup and view all the answers

    What is the condition for the two masses to follow a closed orbit?

    <p>$\frac{Gm_1m_2}{r^2} = v^2$</p> Signup and view all the answers

    What is the shape of the mercury surface when the beaker is rotated?

    <p>Parabolic</p> Signup and view all the answers

    What is the coordinate of the image formed by the mercury surface mirror?

    <p>$-\frac{h}{r}$</p> Signup and view all the answers

    What is the force responsible for the formation of the parabolic surface of the mercury?

    <p>Centrifugal force</p> Signup and view all the answers

    What is the type of motion exhibited by the masses when they follow a closed orbit?

    <p>Elliptical</p> Signup and view all the answers

    What is the type of force that causes the masses to follow a closed orbit?

    <p>Gravitational</p> Signup and view all the answers

    What is the quantity that is conserved in the motion of the two masses?

    <p>Angular momentum</p> Signup and view all the answers

    What is the marking scheme for a correct numerical value entered at the designated place?

    <p>+3</p> Signup and view all the answers

    What happens in all other cases according to the marking scheme?

    <p>0</p> Signup and view all the answers

    What is the shape of the arrangement described in the question stem for Question Nos. 7 and 8?

    <p>Uniform hemispheres</p> Signup and view all the answers

    What is the location of the top half of the arrangement in the question stem for Question Nos. 7 and 8?

    <p>Nailed to a support</p> Signup and view all the answers

    What is the situation that is being avoided in the question stem for Question Nos. 7 and 8?

    <p>The bottom half falls</p> Signup and view all the answers

    What is the angle of the ramp in the question stem for Question Nos. 9 and 10?

    <p>Unknown</p> Signup and view all the answers

    What is the height of the table in the question stem for Question Nos. 9 and 10?

    <p>4 m</p> Signup and view all the answers

    What is the initial situation with the spring in the question stem for Question Nos. 9 and 10?

    <p>The spring is pushed down</p> Signup and view all the answers

    What is the ratio of the largest and smallest volumes in the process?

    <p>Compression factor</p> Signup and view all the answers

    What type of process does the cycle follow in the path 2?

    <p>Adiabatic process</p> Signup and view all the answers

    What is the value of γ, the adiabatic index of air?

    <p>1.67</p> Signup and view all the answers

    What is the final velocity of the sphere when = 0 and =?

    <p>3/10</p> Signup and view all the answers

    What is the number of moles of ideal gas undergoing the process?

    <p>1 mole</p> Signup and view all the answers

    What is the efficiency of the cycle?

    <p>η</p> Signup and view all the answers

    What are the temperatures at points 2 and 1 respectively?

    <p>T₁ and T₂</p> Signup and view all the answers

    What is the correct option for the cycle?

    <p>η</p> Signup and view all the answers

    What is the marking scheme for each question?

    <p>+3 if the correct value is entered, 0 in all other cases</p> Signup and view all the answers

    What is the temperature coefficient of resistance of the nickel heating filament?

    <p>0.0068</p> Signup and view all the answers

    What is the initial temperature of the nickel heating filament?

    <p>293 K</p> Signup and view all the answers

    What is the final temperature of the nickel heating filament?

    <p>1000 K</p> Signup and view all the answers

    What is the surface area of the filament?

    <p>Not given</p> Signup and view all the answers

    What is the mass of the wedge in Q.16?

    <p>Not given</p> Signup and view all the answers

    What is the angle of the wedge in Q.16?

    <p>θ</p> Signup and view all the answers

    What is the frequency of the tone played by the source in Q.17?

    <p>400 Hz</p> Signup and view all the answers

    Study Notes

    Physics Questions

    • A point particle of mass is in region I with potential energy = 0 and in region II with potential energy .

    Dimensions of Physical Quantities

    • In a system of units, mass and torque are dimensionless, and length has a dimension of .
    • Linear momentum has a dimension of .
    • Angular momentum has a dimension of .
    • Surface tension has a dimension of .
    • Pressure has a dimension of .

    Electric Charge and Conduction

    • A positive point charge is located inside a neutral hollow spherical conducting shell with inner radius and outer radius .
    • The shell is centered on the origin, and the point charge is located at the origin.

    Thermodynamic Process

    • One mole of an ideal gas undergoes a process with an adiabatic index .
    • The process has a compression factor defined as the ratio of the largest and smallest volumes.
    • The efficiency of the cycle is , and the temperatures at points 2 are respective.

    Mechanics

    • A small box of mass is kept on a frictionless ramp with a spring at a height from a horizontal table.
    • The ramp is angled at to the horizontal, and the spring is pushed down by compared to its rest length.
    • The box leaves the ramp at a speed and lands at a distance away from the table.

    Gravitation

    • Two masses are separated by a distance and move with initial velocities in opposite directions.
    • The masses interact through universal gravitation, and the condition for them to start following a closed orbit is .

    Reflection and Refraction

    • A prism with refractive indices satisfies the condition for a ray to emerge at a grazing angle.
    • The refractive indices satisfy one of the options:, , or .

    Rotating Beaker of Mercury

    • A beaker of radius is filled with mercury partly up to a height and is rotated about its axis with a constant angular velocity.
    • The mercury surface attains a parabolic shape with a radius of curvature and acts as a mirror for a point object.
    • The -coordinate of the image is one of the options:,, or.

    Heating Filament

    • A heater has a nickel heating filament with a temperature coefficient of resistance and a resistance at room temperature.
    • The filament becomes red-hot at a temperature due to a current passing through it.
    • The total surface area of the filament is .

    Block and Wedge

    • A wedge of mass is kept at rest on a horizontal surface, and a block of mass is kept on the wedge at a height from the surface.
    • The angle of the wedge is , and there is no friction between the block and wedge or between the surface and the wedge.
    • The system is released into a free motion, and the time taken by the block to reach the horizontal surface is .

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