Two identical blocks A and B of mass m joined together with a massless spring as shown in figure are placed on a smooth surface. If the block A moves with an acceleration `a_0`, then the acceleration of the block B is

Options

A. 1
B. 2
C. 3
D. 4

Answer

A

Explanation

Using ` R = 2 sqrt(h (H- h)) `
The upper hole is at a height ` ((H)/(2) + h_1 ) ` from the bottom and the lower hole is at a height from the bottom
Their depth from the surface are respectively ` ((H)/(2) - h _ 1 ) and ((H)/(2) + h _ 2 ) ` . The horizontal rangers will be equal if ` 2 sqrt (((H)/(2) +h_1 ) ( (H)/(2) - h_1))) = 2 sqrt(((H)/(2) + h_2) ((H)/(2) - h _ 2) ) rArr h _ 1 = h _ 2 rArr (h _ 1 ) /(h _ 2) = 1 `