JEE Physics · Hard

Waves on String: Wave Speed MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Wave SpeedHardQuestion 31312

Question

Two strings of same length, same tension: string A (μ_A) and string B (μ_B = 4μ_A). Ratio of fundamental frequencies f_A:f_B is:
  1. A
    1:2
  2. B
    2:1
    Correct
  3. C
    1:4
  4. D
    4:1

Correct answer

2:1

Explanation

f ∝ v ∝ 1/√μ. f_A/f_B = √(μ_B/μ_A) = √4 = 2. So f_A:f_B = 2:1.