Two blocks A and B are connected by as string as shown in figure. Friction coefficient of the incline plane and block is `0.5`. The mass of the block A is `5 kg`. If minimum & maximum values of masses of the block B for which the block remains in equilibrium are `m_(1)` & `m_(2)` then find value of `(m_(2) - m_(1))`.

Options

A. 4
B. 6
C. 3
D. 2

Answer

A

Explanation

For minimum mass of B friction between A and inclined acts as

`mg sin theta = T + f`
`N = mg cos theta`
`T = m_(1)g`
for maximum mass of B friction between A and inclined acts as

`T = mg sin theta + f`
`N = mg cos theta`
`f = mu N`
`T = m_(2)g`