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MHT CET 2024 (9 May, Shift 1) · Stationary Waves & Vibrating Strings

Stationary Waves & Vibrating Strings question from MHT CET 2024 (9 May, Shift 1)

Q43MHT CET 2024 · 9 MAY · SHIFT 1Easy

Stationary Waves & Vibrating Strings

When the tension in string is increased by 3 kg wt3\text{ kg wt}, the frequency of the fundamental mode increases in the ratio 2:32:3. The initial tension in the string is

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Answer: (c)

  1. f∝Tf \propto \sqrt{T}: TT+3=23\sqrt{\dfrac{T}{T + 3}} = \dfrac{2}{3}.
  2. TT+3=49⇒9T=4T+12\dfrac{T}{T + 3} = \dfrac{4}{9} \Rightarrow 9T = 4T + 12.
  3. T=2.4 kg wtT = 2.4\text{ kg wt}.
  4. So the answer is (c) 2.4 kg wt2.4\text{ kg wt}.
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