Irodov Level physics questions with solutions

Showing 1–10 of 40 questions

• MCQmediumGravitationacceleration due to gravity and escape velocity

  A particle is projected vertically upward from Earth's surface with speed equal to half the escape speed. Neglect atmosphere. Its maximum distance from Earth's centre is:

  Options

  • Option A

    4R/3

  • Option B

    2R

  • Option C

    3R/2

  • Option D

    5R/4

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• NumericmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and potential energy

  A thin ring of mass M and radius R produces maximum gravitational field on its axis at x=R/√n. Find n.

  Your answer

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• MCQeasyGravitationsattelite and keplers law

  A satellite in a circular orbit receives a tangential impulse so that its speed becomes √2 times the circular speed. Its subsequent path is:

  Options

  • Option A

    Elliptical

  • Option B

    Parabolic

  • Option C

    Hyperbolic

  • Option D

    A larger circular orbit

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• Multi-correctmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and 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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• MCQmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and potential energy

  A uniform solid sphere of mass M and radius R has a narrow diametric tunnel. A particle released from rest at the surface reaches the centre with speed:

  Options

  • Option A

    √(GM/R)

  • Option B

    √(2GM/R)

  • Option C

    √(GM/(2R))

  • Option D

    √(3GM/(2R))

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• Multi-correctmediumGravitationacceleration due to gravity and escape velocity

  Two planets A and B satisfy $g_A=2g_B$ and $v_eA=v_eB.$ Which statements are correct?

  Select all that apply

  • Option A

    $R_B=2R_A$

  • Option B

    $R_A=R_B/2$

  • Option C

    $M_B=2M_A$

  • Option D

    Their surface gravitational potentials are equal

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• Multi-correctmediumGravitationsattelite and keplers law

  A satellite moves in an elliptical orbit around a planet. Which statements are correct?

  Select all that apply

  • Option A

    Areal velocity is constant

  • Option B

    Speed is maximum at perigee

  • Option C

    Total mechanical energy is constant

  • Option D

    Angular speed about the planet is constant

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• Multi-correctmediumGravitationsattelite and keplers law

  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-correctmediumGravitationacceleration due to gravity and escape velocity

  A particle is projected radially outward from a planet's surface with exactly escape speed $v_e.$ Which statements are correct?

  Select all that apply

  • Option A

    Total mechanical energy is zero

  • Option B

    Its speed approaches zero as r→∞

  • Option C

    At r=4R its speed is $v_e/2$

  • Option D

    Its gravitational potential energy becomes positive at sufficiently large r

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• MCQmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and potential energy

  A thin ring of mass M and radius R lies in a plane. At what axial distance x is the gravitational field maximum?

  Options

  • Option A

    R/2

  • Option B

    R/√2

  • Option C

    R

  • Option D

    √2R

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