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Indian Navy Pilot Gravitation — practice questions

Explore 27 free Gravitation questions in Indian Navy Pilot 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 1–27 of 27.

The universal gravitational constant $G$ has the SI value approximately:Read the answer and worked solution →At the centre of the Earth, the value of g is:Read the answer and worked solution →Time period T of a satellite in orbit of radius r around Earth is (Kepler's 3rd law):Read the answer and worked solution →Gravitational PE of a 2 kg mass at altitude 2R above Earth's surface (g at surface = 10, R = 6400 km):Read the answer and worked solution →As per your syllabus, Table 7.1, Kepler's 3rd law is verified by planetary data showing T² / a³ is which?Read the answer and worked solution →As per your syllabus, the value of g at the CENTRE of the Earth (assuming uniform density) 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 →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 →Complete Kepler's third lawRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Flip and pair: statement with its subjectRead the answer and worked solution →Assertion and reason: orbitsRead the answer and worked solution →

Worked practice questions

The universal gravitational constant $G$ has the SI value approximately:

  1. $6.67 \times 10^{-11}\,\mathrm{N\,m^2/kg^2}$
  2. $9.81\,\mathrm{m/s^2}$
  3. $6.022 \times 10^{23}\,\mathrm{/mol}$
  4. $1.6 \times 10^{-19}\,\mathrm{C}$
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Correct answer: A. $6.67 \times 10^{-11}\,\mathrm{N\,m^2/kg^2}$

Universal gravitational constant $G = 6.67 \times 10^{-11}$ N·m²/kg² in SI units, the same everywhere in the universe. The units come from Newton's law $F = G m_1 m_2 / r^2$: $\dfrac{\text{kg} \cdot \text{kg}}{\text{m}^2} \cdot [G] = \text{N}$ so $[G] = \text{N} \cdot \text{m}^2 / \text{kg}^2$. Option B is the local acceleration due to gravity $g$ (not constant). Option C is Avogadro. Option D is the electronic charge.

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At the centre of the Earth, the value of g is:

  1. Equal to surface g
  2. Negative
  3. Zero
  4. Maximum
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Correct answer: C. Zero

For a uniform spherical mass distribution, at the centre g = 0. Inside Earth at depth d, g' = g(1 - d/R), which reaches zero at d = R (centre).

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Time period T of a satellite in orbit of radius r around Earth is (Kepler's 3rd law):

  1. T ∝ √r
  2. T ∝ r²
  3. T² ∝ r³
  4. T² ∝ r
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Correct answer: C. T² ∝ r³

**By Kepler's third law:** T² ∝ r³ (or specifically T² = (4π²/GM) r³). This applies to any satellite or planet in orbit.

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