1.

A clock `S` is based on oscillations of a spring and clock `P` is based on pendulum motion, both clocks run at the same rate on Earth. On a planet having the same mass, but twice the radius that of the earthA. S will run faster than PB. P will run faster than SC. both will run at the same rate as on the earthD. both will run at the same rate which will be different from that on the earth

Answer» Correct Answer - B
Acceleration due to gravity,
`g = (GM)/(R^(2))=(Gxx(4)/(3)pi R^(3)rho)/(R^(2))=(4)/(3)pi G rho R`
or `g prop R`
For pendulum clock, g will increase on the plane, so time period will decrease. But for spring clock, it will not change. Hence, P will run faster than S.


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