The equation of a wave is represented by y = 10 - 4 sin(100t -x/10) m. then the velocity of wave will be (a) 100 m/s (b) 4 m/s (c) 1000 m/s (d) 10 m/s

Answer: (c). y = 10⁻⁴sin (100t - x/10): ω = 100, k = 1/10. v = (ω)/(k) = (100)/(0.1) = 1000 m/s So the answer is (c) 1000 m/s.

The equation of a wave is represented by y = 10 - 4 sin(100t -x/10)… | NEET 2001 (AIPMT)

Q102NEET 2001 · AIPMTEasy

Progressive Wave Equation

The equation of a wave is represented by

y $=$ 10 $-$ 4 sin(100t $-\frac{x}{10}$ ) m. then the velocity of wave will be

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Answer: (c)

$y = 10^{-4}\sin\left(100t - \dfrac{x}{10}\right)$ : $\omega = 100$ , $k = \dfrac{1}{10}$ .
$v = \dfrac{\omega}{k} = \dfrac{100}{0.1} = 1000\text{ m/s}$
So the answer is (c) $1000\text{ m/s}$ .