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Two identical springs of spring constant ' 8 \mathrm{~K} ' are attached to a block of mass 3 \mathrm{~m} and to fined support. When the mass is displaced from the equilibrium position on either side. It executes simple harmonic motion. The time period of oscillations of this system

Option: 1

\frac{\pi}{2} \sqrt{\frac{3 m}{k}}


Option: 2

\frac{\pi}{2} \sqrt{\frac{8 m}{k}}


Option: 3

\frac{\pi}{3} \sqrt{\frac{3 m}{k}}


Option: 4

\frac{\pi}{2} \sqrt{\frac{3 m}{2}}


Answers (1)

best_answer

\begin{aligned} & T=2 \pi \sqrt{\frac{m}{k}} \\ & T=2 \pi \sqrt{\frac{3 m}{16 k}} \\ & T=2 \pi \times \frac{1}{4} \sqrt{\frac{3 m}{k}} \\ & T=\frac{\pi}{2} \sqrt{\frac{3 m}{k}} \end{aligned}

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