JEE Mains · Physics · STD 11 - Gravitation
- JEE Mains 2026
- Hard
- MCQ
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 :
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) Both Statement I and Statement II are true
Step-by-step Solution
Detailed explanation
\(T =2 \pi \sqrt{\frac{ R ^3}{ GM }}\)
\(\because M =\rho \cdot \frac{4}{3} \pi R ^3\)
\(\therefore T=2 g p \sqrt{\frac{1}{G \rho \frac{4}{3} \pi}}\)
Statement I is correct.
And \(\therefore \frac{ GM }{ R ^2}= g\)
\(\therefore T =2 \pi \sqrt{\frac{ R }{ g }}\)
Statement II is correct
Ans. (2)
\(\because M =\rho \cdot \frac{4}{3} \pi R ^3\)
\(\therefore T=2 g p \sqrt{\frac{1}{G \rho \frac{4}{3} \pi}}\)
Statement I is correct.
And \(\therefore \frac{ GM }{ R ^2}= g\)
\(\therefore T =2 \pi \sqrt{\frac{ R }{ g }}\)
Statement II is correct
Ans. (2)
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