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Physics · PYQ NEET UG 2025

हिन्दी

Two identical point masses P and Q, suspended from two separate massless springs of spring constants \( k_1 \) and \( k_2 \), respectively, oscillate vertically. If their maximum speeds are the same, the ratio \( (A_Q/A_P) \) of the amplitude \( A_Q \) of mass Q to the amplitude \( A_P \) of mass P is:

  1. \( \frac{k_2}{k_1} \)
  2. \( \frac{k_1}{k_2} \)
  3. \( \sqrt{\frac{k_2}{k_1}} \)
  4. \( \sqrt{\frac{k_1}{k_2}} \)

Correct answer · Option 4

\( \sqrt{\frac{k_1}{k_2}} \)

Explanation

Equating maximum speeds \( v_{max} = A\omega = A\sqrt{k/m} \) for identical masses gives \( A_P \sqrt{k_1} = A_Q \sqrt{k_2} \), hence \( \frac{A_Q}{A_P} = \sqrt{\frac{k_1}{k_2}} \).
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