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Physics · GRAVITATION

हिन्दी

Given below are two statements: Statement I: The time period of revolution of a satellite orbiting the Earth depends on the mass of the satellite. Statement II: According to Kepler's third law, the square of the time period of a circular orbit is directly proportional to the cube of the radius of the orbit. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 4

Statement I is incorrect but Statement II is correct.

Explanation

Orbital period \( T = 2\pi r^{3/2}/\sqrt{GM_E} \) is independent of the satellite mass \( m \). Hence Statement I is incorrect and Statement II is correct.
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