In the figure all spring are identical having spring constant `k` and mass `m` each .The block hav also mass `m` .The frequency of oscillation of the block is

Options

A. `(1)/(2pi)sqrt((3k)/(m))`
B. `(1)/(2pi)sqrt((3k)/(2m))`
C. `2pi sqrt((3m)/(3k))`
D. None of these

Answer

B

Explanation

If spring has the mass thebn
`f = (1)/(2pi) sqrt((k)/(m +(M_("spring"))/(3))`
spring equivalent `= 3k` (As all are in perallel)
`f = (1)/(2pi) sqrt((2k)/(m +((3m))/(3))` `impliesf = (1)/(2pi)sqrt((3k)/(2m))`