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Question

Question: The length of the second's pendulum on the surface of Earth is 1m. Its length on the surface of Moon...

The length of the second's pendulum on the surface of Earth is 1m. Its length on the surface of Moon, where g is 16\frac { 1 } { 6 }th the value of g on the surface of Earth is –

A

16\frac { 1 } { 6 }m

B

6m

C

136\frac { 1 } { 36 }m

D

36m

Answer

16\frac { 1 } { 6 }m

Explanation

Solution

T = 2p g\sqrt { \frac { \ell } { \mathrm { g } } } ; T is constant. l µ g

If g is reduced by a factor of 6, then l is reduced by a factor of 6.