Gravitation Question 357

Question: The acceleration due to gravity on the surface of the moon is 1/6 that on the surface of earth and the diameter of the moon is one-fourth that of earth. The ratio of escape velocities on earth and moon will be

Options:

A) $ [\frac{\sqrt{6}}{2}] $

B) $ [\sqrt{24}] $

C) 3

D) $ [\frac{\sqrt{3}}{2}] $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ [v_{e}=\sqrt{2g_{e}R_{e}};=v_{m}=\sqrt{2g_{m}R_{m}}] $ $ [\frac{v_{e}}{v_{m}}=\sqrt{\frac{g_{e}}{g_{m}}\frac{{R_{e}}}{R_{m}}}=\sqrt{\frac{g_{e}}{g_{e}/6}\frac{{R_{e}}}{{R_{e}}/4}}=\sqrt{24}] $


जेईई के लिए मॉक टेस्ट

एनसीईआरटी अध्याय वीडियो समाधान

दोहरा फलक