A massless platform is kept on a light elastic spring as shown in figure. When a particle of mas...

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A massless platform is kept on a light elastic spring as shown in figure. When a particle of mass \( 0.1 \mathrm{~kg} \) is dropped on the pan from a height of \( 0.24 \mathrm{~m} \), the particle strikes the pan, and the spring is compressed by \( 0.01 \mathrm{~m} \). From what height should the particle be dropped to cause a compression of \( 0.04 \mathrm{~m} \) ?
(1) \( 0.96 \mathrm{~m} \)
(2) \( 2.96 \mathrm{~m} \)
(3) \( 3.96 \mathrm{~m} \)
(4) \( 0.48 \mathrm{~m} \)
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