Time period of small oscillation (in a verical plane normal to the plane of strings) of the bob in the arrangement shown will be

Options

A. `2pisqrt((l)/(g))`
B. `2pisqrt((l)/(2g))`
C. `2pisqrt(sqrt(2l)/(g))`
D. `2pisqrt((2l)/(g))`

Answer

B

Explanation

`T = 2pisqrt((l')/(g))` where `l' = ((l)/(sqrt(2)))` so `T = sqrt((l)/(sqrt(2)g))`