JEE MAIN - Physics (2025 - 29th January Morning Shift - No. 7)
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain.
Reason (R) : Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa.
In the light of the above statements, choose the most appropriate answer from the options given below :
Both (A) and (R) are true but (R) is not the correct explanation of (A).
(A) is true but (R) is false.
Both (A) and (R) are true and (R) is the correct explanation of (A).
(A) is false but (R) is true.
설명
$$\begin{aligned}
&\text { As } h \text { increases, } g \text { decreases, } \mathrm{T} \text { increases }\\
&\begin{aligned}
& \mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{~g}}} \\
& \mathrm{~g}=\frac{\mathrm{g}_0 \mathrm{R}^2}{(\mathrm{R}+\mathrm{h})^2}
\end{aligned}
\end{aligned}$$