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JEE Main Gravitation — practice questions — page 2

Explore 64 free Gravitation questions in JEE Main Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Gravitation questions and exercises with answers

Showing questions 31–60 of 64.

As per your syllabus, the gravitational POTENTIAL (per unit mass) at distance r from a point mass M is which?Read the answer and worked solution →As per your syllabus, the gravitational potential energy is a scalar quantity with dimensions which?Read the answer and worked solution →As per your syllabus, eqn 7.35, the orbital speed of a satellite at height h above Earth's surface is which?Read the answer and worked solution →As per your syllabus, eqn 7.37, the time period of a satellite at distance (R+h) from Earth's centre is which?Read the answer and worked solution →As per your syllabus, eqn 7.39, the period of a satellite orbiting CLOSE to Earth's surface (h ≪ R_E) is approximately which?Read the answer and worked solution →As per your syllabus, eqn 7.40, the kinetic energy of an orbiting satellite of mass m at distance (R+h) is which?Read the answer and worked solution →As per your syllabus, eqn 7.41, the potential energy of an orbiting satellite at distance (R+h) is which?Read the answer and worked solution →As per your syllabus, eqn 7.42, the TOTAL mechanical energy of an orbiting satellite is which?Read the answer and worked solution →As per your syllabus, the relationship between total energy E and PE of an orbiting satellite is which?Read the answer and worked solution →As per your syllabus, the period of Mars' orbit (orbit radius 1.52 × Earth's) is approximately which?Read the answer and worked solution →As per your syllabus, (geostationary satellite, not stated but standard), the orbital period of a geostationary satellite is which?Read the answer and worked solution →As per your syllabus, energy required to move a satellite from a circular orbit at 2R_E to 4R_E around Earth is which?Read the answer and worked solution →As per your syllabus, + Example 7.7, for the Moon's orbit (R ≈ 3.84 × 10⁵ km), the time period computed from k = 1.33 × 10⁻¹⁴ d² km⁻³ is approximately which?Read the answer and worked solution →As per your syllabus, the orbital speed v of a satellite scales with orbital radius r as which?Read the answer and worked solution →Conserved, or not conserved?Read the answer and worked solution →True or false: conservation under gravityRead the answer and worked solution →Complete the weightlessness explanationRead the answer and worked solution →True or false: weightlessnessRead the answer and worked solution →Kepler's third lawRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Tap every quantity conserved for orbital motionRead the answer and worked solution →Flip and pair: law with what it saysRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Order the reasoning: why an astronaut floatsRead the answer and worked solution →True or false: Kepler's lawsRead the answer and worked solution →Which law is being described?Read the answer and worked solution →Orbits and satellitesRead the answer and worked solution →Tap every true statement about orbital motionRead the answer and worked solution →

Worked practice questions

As per your syllabus, the gravitational POTENTIAL (per unit mass) at distance r from a point mass M is which?

  1. V_pot = G M r
  2. V_pot = −G M / r
  3. V_pot = −G M / r²
  4. V_pot = +G M / r
Show answer and solution

Correct answer: B. V_pot = −G M / r

Your syllabus: gravitational potential = U/m = −GM/r. Scalar; convention V(∞) = 0.

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As per your syllabus, the gravitational potential energy is a scalar quantity with dimensions which?

  1. [M L⁻¹ T⁻²]
  2. [M L T⁻²]
  3. [M L² T⁻²]
  4. [L T⁻²]
Show answer and solution

Correct answer: C. [M L² T⁻²]

Your syllabus: U is an energy ⇒ [M L² T⁻²]. SI unit J.

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As per your syllabus, eqn 7.35, the orbital speed of a satellite at height h above Earth's surface is which?

  1. v = √(2 G M / R)
  2. v = G M / (R + h)
  3. v = √(G M R)
  4. v = √[G M / (R + h)]
Show answer and solution

Correct answer: D. v = √[G M / (R + h)]

syllabus eqn 7.35: orbital speed v = √(GM/(R+h)). For near-Earth (h=0), v_0 = √(gR) ≈ 7.9 km/s.

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