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A block is attached to a spring as shown...

A block is attached to a spring as shown and very-very gradually lowered so that finally spring expands by 'd'. If same block is attached to spring and released suddenly then maximum expansion in spring will be

A

d

B

2d

C

3d

D

`(1//2)d`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) In equilibrium kd=mg `" or " d=(mg)/(k)`
If allowed to fall suddenly, it does not stop in its equilibrium position. In that case,
decrease in gravitational PE =increase in elastic PE
or`" " mgd'=(1)/(2)kd'^(2) " or " d'=(2mg)/(k)=2d`
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