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JEE Main202622 January 2026Evening ShiftPhysicsGravitationActual

Given below are two statements: Statement I : A satellite is moving around earth in the orbit very close to the earth surface. The time period of revolution of satellite depends upon the density of earth. Statement II : The time period of revolution of the satellite is T=2 R_ e g (for satellite very close to the earth surface), where R_ e radius of earth and g acceleration due to gravity. In the light of the above st

Options

  1. ABoth Statement I and Statement II are true
  2. BStatement I is false but Statement II is true
  3. CStatement I is true but Statement II is false
  4. DBoth Statement I and Statement II are false

Correct answer

A. Both Statement I and Statement II are true

Step-by-step solution

Statement I: For a satellite very close to Earth's surface, T = 2 R_e g where g = GM R_e^2 = 4 G R_e 3 . Substituting: T = 2 3 4 G . This shows period depends on Earth's density . Statement I is TRUE. Statement II: Given directly as T = 2 R_e g , which is the standard formula. Statement II is TRUE. Both statements are true.

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