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

Options

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

Answer

B

Explanation

In the ………….
If spring has the mass then :
`f = (1)/(2pi) sqrt((k)/(m+(M_("spring"))/(3)))`
Spring equivalent `= 3k` (As all are in parallel)
`:. f = (1)/(2pi) sqrt((3k)/(m+((3m))/(3)))`
`implies f = (1)/(2pi) sqrt((3k)/(2m))`