Gravitation Question 328

Question: The ratio of radii of earth to another planet is 21 3 and the ratio of their mean densities is 4/5. If an astronaut can jump to a maximum height of 1.5 m on the earth, with the same effort, the maximum height he can jump on the planet is

Options:

A) 1 m

B)0.8 m

C) 0.5 m

D)125 m

Show Answer

Answer:

Correct Answer: B

Solution:

  • to K.E. of the person = P.E. at the maximum height [12mv2=mGMR2h.] [mGMR2.h=mGMR2h]

Given [ρ=45p,RR=23]

[mG.43πR3ρR2.h=mG.43πR3ρR2.h]

[23R.45ρ1.5=Rρhh=0.8m.]



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