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Question: The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on...

The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (if it is a second’s pendulum on earth)

A

12\frac { 1 } { \sqrt { 2 } }sec

B

222 \sqrt { 2 }sec

C

2 sec

D

12\frac { 1 } { 2 } sec

Answer

222 \sqrt { 2 }sec

Explanation

Solution

gMR2g \propto \frac { M } { R ^ { 2 } }; g=g/2g ^ { \prime } = g / 2 ;

(T = 2 sec for second’s pendulum)

T=22T ^ { \prime } = 2 \sqrt { 2 }