A spring has time period T. It is cut into n equal parts. The time period of each part will be

Options

(a) T√n
(b) T/√n
(c) nT
(d) T

Correct Answer:

T/√n

Explanation:

Whe a spring of constant K is cut into n equal parts, each part has a spring constant = nK
T = 2π √(m/K)
T’ = 2π √(m/nK) = (1/√n).2π √(m/K)
T’ = T/√n.