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Question

A massless platform is kept on a light elastic spring as shown in fig. When sand particles of 0.1 kg mass are dropped on the pan from a height of 0.24 m. The particle strikes the pan and the spring is compressed by 0.001 m. From what height should the particle be dropped to cause a compression of 0.04 m-
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A
0.96 m
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B
2.96 m
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C
3.96 m
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D
0.48 m
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Solution

The correct option is B 3.96 m
From conservation of energy,
mg(h+x)=12kx2
Case I mg(0.24+0.01)=12k(0.01)2
Case II mg(h+0.04)=12k(0.04)2
dividing h+0.040.24+0.01=161
h+0.4=16×0.25=4
h=3.96 m.

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