A bullet ofmass m is fired with a velocity `10m//s` at angle `theta` with horizontal. At the hightest point of its trajectory, it collsides head-on with a bob of mass `3m` suspended by a massless string of length `2//5m` and gets embedded in the bob. After th collision the string moves through an angle of `60^(@)`.
The horizontal coordinate of the intital position of the bob w.r.t. the point of firing of the bullet is n

Options

A. `(9)/(5)m`
B. `(24)/(5)m`
C. `(9)/(4)m`
D. None of these

Answer

(B)

Explanation

`(R )/(2) = (2u^(2) sin theta cos theta)/(2g) = ((100)((3)/(5))((4)/(5)))/(10) = (24)/(5) m`