A spring has length `l` and force constant `k` it is cut into two springs of legnth `l_(1)` and `l_(2)` such that `l_(1) =nl_(2) (n =`an integer). Mass 'm' suspended form `l_(1)` oscillates with time period.

Options

A. `T = 2pi sqrt((m)/((n+1)K))`
B. `T = 2pi sqrt((nm)/((n+1)K))`
C. `T = 2pi sqrt((m)/(K))`
D. `T=2pisqrt(((n+1)m)/(K))`

Answer

B

Explanation

`K_(1) = ((l_(1)+l_(2))/(l_(1)))K , T = 2pi sqrt((m)/(K_(1)))`