Q.

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:          [2025]

1 Both (A) and (R) are true but (R) is not the correct explanation of (A).  
2 Both (A) and (R) are true and (R) is the correct explanation of (A).  
3 (A) is true but (R) is false.  
4 (A) is false but (R) is true.  

Ans.

(2)

As h increases, g decreases, T increases

T=2πlg

g=g0R2(R+h)2