A clock 'S' is based on oscillations 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
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a
S will run faster than P
b
P will run faster than S
c
Both will run at same rate
d
None
answer is B.
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Detailed Solution
Acceleration of gravity on the surface of a planet is given byg=43GπRρ where ρ= Density and R = RadiusAs and Rp = 2Rewe can write gp = 2gesince , we can conclude that time period of p on the surface of planet will decrease.Also for clock s, Ts on the planet = Ts on earth. So on the surface of planet P will run faster than S.