JEE Mains · Physics · STD 11 - 13. oscillations
Two identical springs of spring constant \('2k'\) are attached to a block of mass \(m\) and to fixed support (see figure). When the mass is displaced from equilibrium position on either side, it executes simple harmonic motion. The time period of oscillations of this sytem is ...... .
- A \(2 \pi \sqrt{\frac{ m }{ k }}\)
- B \(\pi \sqrt{\frac{ m }{2 k }}\)
- C \(2 \pi \sqrt{\frac{ m }{2 k }}\)
- D \(\pi \sqrt{\frac{ m }{ k }}\)
Answer & Solution
Correct Answer
(D) \(\pi \sqrt{\frac{ m }{ k }}\)
Step-by-step Solution
Detailed explanation
For parallel combination \(k _{ eq }= k _{1}+ k _{2}\) \(k_{e q}=4 k\) \(T =2 \pi \sqrt{\frac{ m }{ k _{ eq }}}\)
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