Statement I: The time period of a pendulum, on a satellite orbiting the earth in infinity.
Statement II: Time period of a pendulum is inversely proportional to square root of acceleration due to gravity.

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I.
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
C

If statement I is true but statement II is false
D

If both statement I and statement II are false

Solution

From the relation of time period
$T = 2 π \sqrt{\frac{l}{g}} \Rightarrow T \propto \frac{l}{\sqrt{g}}$

When the satellite is orbiting the earth, the value of g inside it is zero. Hence the time period of pendulum in a satellite will be infinity and it is also clear that time period of pendulum is inversely proportional to square root of acceleration due to gravity g.

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