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Physics · JEE | OSCILLATIONS

हिन्दी

Referring to the mass-spring system shown in Fig. 13.14 where two identical springs of spring constant \( k \) are attached to a mass \( m \), what is the effective time period of oscillation for the system?

Question diagram
  1. A
    \( 2\pi \sqrt{\frac{m}{k}} \)
  2. B
    \( 2\pi \sqrt{\frac{2m}{k}} \)
  3. C
    \( 2\pi \sqrt{\frac{m}{2k}} \)
  4. D
    \( \pi \sqrt{\frac{m}{k}} \)
View Answer & Solution

Correct answer · Option C

\( 2\pi \sqrt{\frac{m}{2k}} \)

Explanation

The net restoring force is \( F = -2kx \), giving an effective spring constant \( k_{\text{eff}} = 2k \). Thus, \( T = 2\pi\sqrt{\frac{m}{2k}} \).
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