NEET Physics: Gravitation — MCQ Test 4

Q6. A satellite near Earth has a period of 81 minutes. What is its period at \( h = 10 R_E \)? (\( R_E = 6.4 \times 10^6 \, \text{m} \))

Q7. A planet’s orbital period around the Sun is 8 years. If Earth’s orbital radius is \( 1.5 \times 10^{11} \, \text{m} \), what is its semi-major axis?

Q8. What is the minimum speed to escape from \( 4 R_E \) from Earth’s center? (\( g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m} \))

Q9. What does the zero gravitational potential at infinity imply about gravitational systems?

Q10. A planet orbits the Sun with a period of 9 years. If Earth’s orbital radius is \( 1.5 \times 10^{11} \, \text{m} \), what is its semi-major axis?

Q11. What is the minimum speed to escape from \( 9 R_E \) from Earth’s center? (\( g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m} \))

Q12. What is the gravitational force on a \( 10 \, \text{kg} \) mass outside a spherical shell of mass \( 500 \, \text{kg} \) and radius \( 2 \, \text{m} \), at \( 3 \, \text{m} \) from the center? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q13. What is the escape speed from a planet with mass \( 1.2 \times 10^{24} \, \text{kg} \) and radius \( 3 \times 10^6 \, \text{m} \)? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q14. A body weighs \( 196 \, \text{N} \) on Earth’s surface. What is its weight at a depth \( d = R_E/4 \)? (\( g = 9.8 \, \text{m/s}^2 \))

Q15. A body weighs \( 98 \, \text{N} \) on Earth’s surface. What is its weight at a depth of \( R_E/2 \)? (\( R_E = 6.4 \times 10^6 \, \text{m}, g = 9.8 \, \text{m/s}^2 \))

NEET Physics — Gravitation

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What is the kinetic energy of a \( 400 \, \text{kg} \) satellite at \( 6 R_E \) from Earth’s center? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

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About this NEET MCQ Test

This page provides a free online MCQ test for NEET Physics preparation, focusing specifically on the chapter Gravitation. It contains 15 carefully selected multiple-choice questions (MCQs) designed to test your conceptual understanding and exam readiness.

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Key concepts covered in this specific test include Satellite, Gravitational, Spherical, Potential, Following, and Statements.

Taking these timed MCQ tests helps you simulate the real NEET exam environment. Detailed step-by-step explanations are provided for every question to help you learn from your mistakes and strengthen your fundamentals.

Preview of Questions in this Test

Q1. What is the kinetic energy of a \( 400 \, \text{kg} \) satellite at \( 6 R_E \) from Earth’s center? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

  • A. 2.0 × 10⁹ J
  • B. 2.1 × 10⁹ J
  • C. 2.2 × 10⁹ J
  • D. 2.3 × 10⁹ J

Q2. What is the gravitational force on a \( 11 \, \text{kg} \) mass \( 9 \, \text{m} \) from the center of a spherical shell of mass \( 500 \, \text{kg} \) and radius \( 7 \, \text{m} \)? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

  • A. 4.4 × 10⁻¹⁰ N
  • B. 4.5 × 10⁻¹⁰ N
  • C. 4.6 × 10⁻¹⁰ N
  • D. 4.7 × 10⁻¹⁰ N

Q3. A satellite’s orbit changes from \( 2 R_E \) to \( 4 R_E \) from Earth’s center. What is the change in its potential energy? (\( m = 200 \, \text{kg}, M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

  • A. 2.8 × 10⁹ J
  • B. 3.0 × 10⁹ J
  • C. 3.1 × 10⁹ J
  • D. 3.5 × 10⁹ J

Q4. Which of the following statements is correct about Kepler’s first law?

  • A. Planets move in straight lines
  • B. The Sun is at the center of circular orbits
  • C. Orbits are elliptical with varying speeds
  • D. Orbits are circular with the Sun at the center

Q5. Why is the gravitational potential energy of a system of multiple masses the sum of pairwise interactions?

  • A. Due to conservation of energy
  • B. Due to the superposition principle
  • C. Due to Kepler’s laws
  • D. Due to Earth’s gravitational field

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