Irodov Level physics questions with solutions

Showing 1–10 of 40 questions

• Multi-correctmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite moves in an elliptical orbit. Let $r_p,$ $v_p$ be perigee distance and speed and $r_a,$ $v_a$ be apogee values. Which statements are correct?

  Select all that apply

  • Option A

    $r_pv_p=r_av_a$

  • Option B

    $v_p>v_a$

  • Option C

    Kinetic energy is maximum at perigee

  • Option D

    Total mechanical energy is larger at perigee than at apogee

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• Multi-correctmediumGravitationGravitation, Gravitational Field & Potential Energy

  A particle is projected radially outward from the surface of a planet with speed √(GM/R). Which statements are correct?

  Select all that apply

  • Option A

    It cannot escape to infinity

  • Option B

    Its maximum distance from the centre is 2R

  • Option C

    Its total mechanical energy is -GMm/(2R)

  • Option D

    Its speed becomes zero at r=3R

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• MCQmediumGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite in a circular orbit has kinetic energy K. A tangential impulse instantaneously increases its kinetic energy to 2K. Its subsequent trajectory is:

  Options

  • Option A

    Circular

  • Option B

    Elliptical

  • Option C

    Parabolic

  • Option D

    Hyperbolic

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  JEE AdvancedIrodov Level

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  Two particles of masses m and 4m are fixed at x=0 and x=5a. At the point between them where the net gravitational field is zero, the gravitational potential is:

  Options

  • Option A

    -9Gm/(5a)

  • Option B

    -3Gm/(2a)

  • Option C

    -2Gm/a

  • Option D

    -5Gm/(2a)

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• Multi-correcteasyGravitationGravitation, Gravitational Field & Potential Energy

  A thin uniform spherical shell has mass M and radius R. Which statements are correct for points inside the shell?

  Select all that apply

  • Option A

    Gravitational field is zero everywhere

  • Option B

    Gravitational potential is constant

  • Option C

    Potential equals -GM/R

  • Option D

    Potential is zero everywhere

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• MCQeasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  An elliptical satellite orbit has perigee R and apogee 3R. A circular satellite around the same planet has radius 2R. If their periods are $T_e$ and $T_c,$ then $T_e/T_c$ is:

  Options

  • Option A

    1/2

  • Option B

    1

  • Option C

    √2

  • Option D

    2

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• MCQeasyGravitationAcceleration Due to Gravity & Escape Velocity

  At a small height h above Earth's surface, g equals its value at depth d below the surface. For h, d≪R and uniform Earth density:

  Options

  • Option A

    d=h

  • Option B

    d=2h

  • Option C

    h=2d

  • Option D

    d=4h

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• NumericeasyGravitationAcceleration Due to Gravity & Escape Velocity

  At height h=R above Earth's surface, the acceleration due to gravity is g₀/n, where g₀ is surface gravity. Find n.

  Your answer

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• Multi-correcteasyGravitationSatellites, Orbital Motion & Kepler’s Laws

  A satellite of mass m moves in a circular orbit of radius r around a planet of mass M. Which statements are correct?

  Select all that apply

  • Option A

    K=GMm/(2r)

  • Option B

    U=-GMm/r

  • Option C

    E=-GMm/(2r)

  • Option D

    Energy required to remove it to infinity with zero final speed is GMm/r

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• MCQmediumGravitationGravitation, Gravitational Field & Potential Energy

  A uniform solid sphere has mass M and radius R. A narrow tunnel is drilled through its centre. A particle is released from rest at the surface. Its speed at the centre is:

  Options

  • Option A

    √(GM/R)

  • Option B

    √(2GM/R)

  • Option C

    √(GM/(2R))

  • Option D

    √(3GM/(2R))

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  JEE AdvancedIrodov Level

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