Two similar springs \(P\) and \(Q\) have spring constants \(k_P\) and \(k_Q\), such that \(k_P>k_Q\). They are stretched, first by the same amount (case a), then by the same force (case b). The work done by the springs \(W_P\) and \(W_Q\) are related as, in case (a) and case (b), respectively:
1. | \(W_P=W_Q;~W_P>W_Q\) |
2. | \(W_P=W_Q;~W_P=W_Q\) |
3. | \(W_P>W_Q;~W_P<W_Q\) |
4. | \(W_P<W_Q;~W_P<W_Q\) |
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyA vertical spring with a force constant \(k\) is fixed on a table. A ball of mass \(m\) at a height \(h\) above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance \(d\). The net work done in the process is:
1. \(mg(h+d)+\frac{1}{2}kd^2\)
2. \(mg(h+d)-\frac{1}{2}kd^2\)
3. \(mg(h-d)-\frac{1}{2}kd^2\)
4. \(mg(h-d)+\frac{1}{2}kd^2\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & BiologyThe potential energy of a long spring when stretched by \(2\) cm is \(U\). If the spring is stretched by \(8\) cm, the potential energy stored in it is:
1. \(4U\)
2. \(8U\)
3. \(16U\)
4. \(U/4\)
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NEET MCQ Books for XIth & XIIth Physics, Chemistry & Biology