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AP Intermediate 1st Year Gravitation — practice questions — page 2

Explore 58 free Gravitation questions in AP Intermediate 1st Year 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 31–58 of 58.

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 →NEET · Physics · Gravitation FormulasRead the answer and worked solution →Kepler's first law of planetary motion states that:Read the answer and worked solution →Kepler's third law (Law of Periods) gives the relation between the time period T and semi-major axis a of a planetary orbit as:Read the answer and worked solution →Newton's universal law of gravitation states that the force between two point masses m₁ and m₂ separated by distance r is:Read the answer and worked solution →The value of the universal gravitational constant G is approximately:Read the answer and worked solution →The acceleration due to gravity at the Earth's surface, g, is related to its mass M and radius R by:Read the answer and worked solution →At a height h above the Earth's surface (h ≪ R), the acceleration due to gravity g(h) is approximately:Read the answer and worked solution →At a depth d below the Earth's surface (d ≪ R), the acceleration due to gravity is approximately:Read the answer and worked solution →The escape speed from the surface of a planet of mass M and radius R is given by:Read the answer and worked solution →Escape velocity from the Earth's surface (g = 9.8 m s⁻², R = 6.4 × 10⁶ m) is closest to:Read the answer and worked solution →The total mechanical energy of a satellite of mass m in a circular orbit of radius r around the Earth (mass M) is:Read the answer and worked solution →A geostationary satellite orbits the Earth with a period equal to:Read the answer and worked solution →If the radius of a planet shrinks to half while its mass is unchanged, the escape velocity from its surface will:Read the answer and worked solution →Inside a hypothetical spherical shell of uniform mass distribution, the gravitational field at any interior point is:Read 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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More Physics topics

Laws of MotionSystem of Particles and Rotational MotionUnits, Measurements and Motion in a Straight LineWork, Energy and PowerKinetic Theory & OscillationsMotion in a PlaneThermal Properties of Matter & ThermodynamicsWaves