Given below are two statements: Statement I: A satellite is moving… | JEE Main 2026 (22 Jan, Shift 2)

Q4JEE Main 2026 · 22 JAN · SHIFT 2Easy

Satellites - Orbital Velocity & Period

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 $T$ $=$ $2\pi\sqrt{\frac{R_e}{g}}$ (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 statements, choose the correct answer from the options given below:

Show answer and solution

Answer: (c)

Near the surface, gravity gives the centripetal force: $mg = m\omega^2 R_e \Rightarrow T = 2\pi\sqrt{\frac{R_e}{g}}$ . Statement II is true.
With $g = \frac{4}{3}\pi G\rho R_e$ : $T = \sqrt{\frac{3\pi}{G\rho}}$ , which depends only on the density. Statement I is true.
So the answer is (c) both statements are true.

Report a mistake

Satellites - Orbital Velocity & Period question from JEE Main 2026 (22 Jan, Shift 2)

More questions on Satellites - Orbital Velocity & Period