A) S will run faster than P
B) P will run faster than P
C) both will run at the same rate as on the earth
D) both will run at the same rate which will be different from that on the earth
Correct Answer: B
Solution :
Acceleration due to gravity \[g=\frac{GM}{{{R}^{2}}}=\frac{G\times \frac{4}{3}\pi {{R}^{3}}\rho }{{{R}^{2}}}\] \[=\frac{4}{3}\pi G\rho R\]or \[g\propto R\] For pendulum clock, g will increase on the planet so time period will decrease. But for spring clock, it will not change. Hence, P will run faster than S.
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