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A block (B) is attached to two unstriche...

A block `(B)` is attached to two unstriched sprig `S_(1)` and S_(2) with spring constant `K` and `4K` , respectively (see fig 1) The other ends are atteched in identical support `M_(1)` and `M_(2)` not attached in the walls . The springs and supports have negligible mass . There is no friction anywhere . The block `B` is displaced toword wall `1` by a small distance `z` (figure (ii)) and released . THe block return and moves a maximum displacements `x` and `y` are musured with reoact to the equalibrum of the block `B` and the ratio `y//x` is

A

4

B

2

C

`1/2`

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
C
From energy conservation, `1/2 kx^2 = 1/2 (4k) y^2 " " :. " " y/x = 1/2` .
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