Gravitation questions with solutions

Showing 1–10 of 105 questions

• MCQmediumGravitationEscape velocity

  The escape velocities of planets A and B are in the ratio 1:2. Their radii are in the ratio Rₐ: Rʙ = 1:3. The ratio gₐ: gʙ is:

  Options

  • Option A

    4/3

  • Option B

    3/2

  • Option C

    2/3

  • Option D

    $\frac{3}{4}$

  Check answerShow answer

  JEE MainsJEE Advanced

  Open question & full solution →
• MCQmediumGravitationacceleration due to gravity and escape velocity

  A body of mass m is taken from earth surface to the height h equal to twice the radius of earth Rₑ, the increase in potential energy will be : (g = acceleration due to gravity on the surface of Earth)

  Options

  • Option A

    3mgRₑ

  • Option B

    (1/3)mgRₑ

  • Option C

    (2/3)mgRₑ

  • Option D

    (1/2)mgRₑ

  Check answerShow answer

  JEE Mains25 January 2023Shift 2Evening Shift

  Open question & full solution →
• MCQmediumGravitationacceleration due to gravity and escape velocity

  A planet of radius R has density ρ(r)=ρ₀(1-r/R). The ratio g(R/2)/g(R) is:

  Options

  • Option A

    5/4

  • Option B

    3/2

  • Option C

    7/8

  • Option D

    11/8

  Check answerShow answer

  JEE AdvancedIrodov Level

  Open question & full solution →
• MCQmediumGravitationacceleration due to gravity and escape velocity

  A simple pendulum doing small oscillations at a place R height above earth surface has time period of T₁ = 4 s. T₂ would be it's time period if it is brought to a point which is at a height 2R from earth surface. Choose the correct relation [R = radius of Earth]:

  Options

  • Option A

    T₁ = T₂

  • Option B

    2T₁ = 3T₂

  • Option C

    3T₁ = 2T₂

  • Option D

    2T₁ = T₂

  Check answerShow answer

  JEE Mains 2024 05 Apr Morning Shift

  Open question & full solution →
• Multi-correctmediumGravitationsattelite and keplers law

  Two equal-mass satellites A and B revolve around the same planet in circular orbits with $r_B=4r_A.$ Which statements are correct?

  Select all that apply

  • Option A

    $v_A/v_B=2$

  • Option B

    $T_B/T_A=8$

  • Option C

    |$E_A|/|E_B|=4$

  • Option D

    $L_B/L_A=2$

  Check answerShow answer

  JEE AdvancedIrodov Level

  Open question & full solution →
• MCQmediumGravitationsattelite and keplers law

  Initially a satellite of 100 kg is in a circular orbit of radius 1.5Rₑ. This satellite can be moved to a circular orbit of radius 3Rₑ by supplying α × 10⁶J of energy. The value of α is ___________.

  (Take Radius of Earth Rₑ = 6 × 10⁶ m and g = 10 m·s⁻²)

  Options

  • Option A

    150

  • Option B

    500

  • Option C

    100

  • Option D

    1000

  Check answerShow answer

  JEE Mains 202621 January Morning Shift

  Open question & full solution →
• MCQmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and potential energy

  A metal wire of uniform mass density having length L and mass M is bent to form a semicircular arc and a particle of mass m is placed at the centre of the arc. The gravitational force on the particle by the wire is:

  Options

  • Option A

    πGMm/(2L²)

  • Option B

    0

  • Option C

    π²GmM/L²

  • Option D

    2πGmM/L²

  Check answerShow answer

  JEE Mains 2024 04 Apr Morning Shift

  Open question & full solution →
• MCQmediumGravitationlaw of gravitation ,gravitational field intensity ,gravitational potential and potential energy

  Two identical particles, each of mass m, move in a circle of radius a about their common centre under mutual gravitational attraction. Their angular speed is:

  Options

  • Option A

    √(Gm/a³)

  • Option B

    √(Gm/4a³)

  • Option C

    √(Gm/2a³)

  • Option D

    √(Gm/8a³)

  Check answerShow answer

  15 April 2023 Morning Shift

  Open question & full solution →
• MCQeasyGravitationacceleration due to gravity and 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

  Check answerShow answer

  JEE AdvancedIrodov Level

  Open question & full solution →
• A/ReasyGravitationacceleration due to gravity and escape velocity

  Evaluate the following statements.

  Assertion

  Assertion (A): Escape velocity from a planet is independent of the mass of the projectile.

  Reason

  Reason (R): In the escape-energy equation, both kinetic energy and gravitational potential energy contain the same factor of projectile mass.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

  Check answerShow answer

  JEE AdvancedIrodov Level

  Open question & full solution →