Question 108 of 194
Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : A simple pendulum is taken to a planet of mass and radius, 4 times and 2 times, respectively, than the Earth. The time period of the pendulum remains same on earth and the planet.
Reason (R): The mass of the pendulum remains unchanged at Earth and the other planet.
In the light of the above statements, choose the correct answer from the options given below :
Show answer and solution
Answer: (D) Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
$\begin{aligned}
& g=\frac{G M}{R^2} \\
& g^{\prime}=\frac{G(4 M)}{(2 R)^2}=g
\end{aligned}$
A is correct, is correct ; but since doesn't depend on mass ; R doesn't explain A .
& g=\frac{G M}{R^2} \\
& g^{\prime}=\frac{G(4 M)}{(2 R)^2}=g
\end{aligned}$
A is correct, is correct ; but since doesn't depend on mass ; R doesn't explain A .