Question

A spring has a certain mass suspended from it and its ** for vertical oscillations is T1. The spring is now cut into two equal halves and the same mass is suspended from one of the half. The ** of vertical oscillation is now T2. The ratio of T2 /T1 is

(A) 1/2

(B) 1/√2

(C) 2

(D) 2

Answer 1

Correct option (B)

Explanation:

T = 2√(m/k)

When spring is cut in two equal parts, then force constant is 2k

So T2/T1 = 1/√2