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

Options

A. `(5g)/(6)`
B. `(5g)/(3)`
C. `(17g)/(12)`
D. `(17g)/(6)`

Answer

D

Explanation

`a_(LHS)=a_(1)=("Net pulling force")/("Total mass")=(3mg)/(4m)=3/4 g`
`a_(I_(1))=2a(I_(1)) =3/2 g`
`a_(RHS)=a_(2)=("Net pulling force")/("Total mass")=(2mg)/(3m)`
`a_(I_(2))=2a(I_(2)) =4/3 g=2/3 g`
The relative acceleration is therfore:
`(3/2)g+(4/3) g=(17/6)g`.