Two blocks each of masses m lie on a smooth table. They are attached to two other masses as shown in figure. The pulleys and strings are light. An object O is kept at rest on the table. The sides AB and CD of the two blocks are made reflecting. The acceleration of two images formed in those two reflecting surfaces with respect to each other is

Options

A. `5g//6`
B. `5g//3`
C. `g//3`
D. `17 g//6`

Answer

D

Explanation

Acceleration of block `AB = (3mg)/(3m +m)=(3)/(4)g`
accelerarion of block `CD=(2mg)/(2m+m)=(2g)/(3)`
Acceleration of image in mirror `AB`
`= 2` acceleration of mirror
`= 2.((-3g)/(4))=(-3)/(2)g`
Acceleration of the two image w.r.t each other `= x=(4g)/(3)-((-3g)/(2))=(17g)/(6)`.