The equation of simple harmonic progressive wave is given by Y = asin 2π(bt - cx). The maximum particle velocity will be twice the wave velocity if (a) c = π a (b) c = (1)/(2π a) (c) c = (1)/(π a) (d) c = 2π a

Answer: (c). vp,max = 2π b a, wave velocity v = b/c 2π b a = 2/c ⇒ c = (1)/(π a) So the answer is (c) c = (1)/(π a).

The equation of simple harmonic progressive wave is given by Y = asin… | MHT CET 2019 (2 May, Shift 1)

Q82MHT CET 2019 · 2 MAY · SHIFT 1Medium

Progressive Wave Equation

The equation of simple harmonic progressive wave is given by $Y = a\sin 2\pi(bt - cx)$ . The maximum particle velocity will be twice the wave velocity if

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Answer: (c)

$v_{p,\max} = 2\pi b a$ , wave velocity $v = \frac{b}{c}$
$2\pi b a = 2\cdot\frac{b}{c} \Rightarrow c = \frac{1}{\pi a}$
So the answer is (c) $c = \frac{1}{\pi a}$ .

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Progressive Wave Equation question from MHT CET 2019 (2 May, Shift 1)

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