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MHT CET 2021 (22 Sep, Shift 1) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2021 (22 Sep, Shift 1)

Q73MHT CET 2021 · 22 SEP · SHIFT 1Medium

Progressive Wave Equation

A transverse wave given by $y = 2\sin(0.01x + 30t)$ moves on a stretched string from one end to another end in 0.5 second. If ' $x$ ' and ' $y$ ' are in $\text{cm}$ and ' $t$ ' is in second, then the length of the string is

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Answer: (d)

Wave speed $v = \frac{\omega}{k} = \frac{30}{0.01} = 3000\text{ cm/s} = 30\text{ m/s}$
Length $L = v t = 30 \times 0.5 = 15\text{ m}$
So the answer is (d) 15 m.

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