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MHT CET 2023 (13 May, Shift 1) · Speed of Waves

Speed of Waves question from MHT CET 2023 (13 May, Shift 1)

Q17MHT CET 2023 · 13 MAY · SHIFT 1Medium

Speed of Waves

A uniform wire $20\text{ m}$ long and weighing $50\text{ N}$ hangs vertically. The speed of the wave at mid point of the wire is (acceleration due to gravity $= g = 10\text{ ms}^{-2}$ )

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Answer: (c)

At height $y$ above the lower end, tension $= \mu g y$ , so $v = \sqrt{gy}$ .
Midpoint: $y = 10$ m, $v = \sqrt{10 \times 10} = 10$ m/s.
So the answer is (c) $10\ \text{ms}^{-1}$ .

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