A weightless spring of length \( 60 \mathrm{~cm} \) and force const...
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A weightless spring of length \( 60 \mathrm{~cm} \) and force constant 200 \( \mathrm{N} / \mathrm{m} \) is kept straight and unstretched on a smooth horizontal
\( \mathrm{P} \) table and its ends are rigidly fixed. A mass of \( 0.25 \mathrm{~kg} \) is attached at the middle of the spring and is slightly displaced
W along the length. The time period of the oscillation of the mass is
[MP PET 2003]
(a) \( \frac{\pi}{20} s \)
(b) \( \frac{\pi}{10} s \)
(c) \( \frac{\pi}{5} s \)
(d) \( \frac{\pi}{\sqrt{200}} s \)
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