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STD 11 - 13. oscillations — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 11 - 13. oscillations4 Marks
Question
An assembly of identical spring-mass systems is placed on a smooth horizontal surface as shown. At this instant, the springs are relaxed. The left mass is displaced to the/left and theiright mass is displaced to the right by same distance and released. The resulting collision is elastic. The time period of the oscillations of system is
✓

Answer

(c)

If there was no collision each spring will oscillate with period

$T=2 \pi \sqrt{\frac{m}{k}}$

Because of collisions the springs are only compressed but cannot extend beyond their natural length. Hence the perform only half oscillation.

Hence $\quad T=2 \pi \sqrt{\frac{m}{k}} \div 2$

or $T=\pi \sqrt{\frac{m}{k}}$

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