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Q.

The acceleration due to gravity on moon is  16th of that on the earth. If the length of the seconds pendulum is 60 cm on the earth, what is its length on the moon?

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a

10 cm

b

18 cm

c

32 cm

d

20 cm

answer is A.

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Detailed Solution

Given acceleration due to gravity ,  gmoon=gm=16gearth=ge6 ⇒gm=ge6And length of pendulum on earth is, learth=le=60 cmsto find the lmoon=lmFor seconds pendulum time period is 2 seconds.T=2πlg for simple pendulum Time remains constant for seconds pendulum in both the planets.lg=constant.lmle=gmgelm=le×gmge= 60×ge6ge=606=10  cm
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The acceleration due to gravity on moon is  16th of that on the earth. If the length of the seconds pendulum is 60 cm on the earth, what is its length on the moon?