Question

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 earth

• A. S will run faster than P
• B. P will run faster than S
• C. They will both run at the same rate as on Earth
• D. Both do not function

Answer 1

The correct option is A S will run faster than P

given S and P are same on earth
$g=\frac{GM}{R^2}$
as radius is doubled g decreases.
S will be same but P decreases as.
$P=2\pi \sqrt{\frac{l}{g}}$
$\therefore$ S will be faster than P.