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Question

A clock S is based on oscillation of a spring and a clock P is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having the same density as earth but twice the radius

A
S will run faster than P
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B
P will run faster than S
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C
They will both run at the same rate as on the earth
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D
None of these
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Solution

The correct option is B P will run faster than S
g=43πρGR. If density is same then gR According to problem Rp=2Re gp=2ge
For clock P (based on pendulum motion) T=2πlg
Time period decreases on planet so it will run faster because gp>ge
For clock S (based on oscillation of spring) T=2πmk
So it does not change.

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