Equation of progressive wave is given by y = 4sin [π(t/5 - x/9) + π/6] where y, x are in cm and t is in seconds. Then which of the following is correct? (a) v = 5 cm (b) λ = 18 cm (c) a = 0.04 cm (d) f = 50 Hz

Answer: (b). y = 4sin (π/5t - π/9x + π/6): A = 4 cm, ω = π/5, k = π/9. λ = (2π)/(π/9) = 18 cm; v = 9/5 = 1.8 cm/s; f = 0.1 Hz So the answer is (b) λ = 18 cm.

Equation of progressive wave is given by y = 4sin [π(t/5 - x/9) +… | NEET 1988 (AIPMT)

Q109NEET 1988 · AIPMTEasy

Progressive Wave Equation

Equation of progressive wave is given by $y = 4\sin\left[\pi\left(\frac{t}{5} - \frac{x}{9}\right) + \frac{\pi}{6}\right]$ where $y, x$ are in cm and $t$ is in seconds. Then which of the following is correct?

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Answer: (b)

$y = 4\sin\left(\dfrac{\pi}{5}t - \dfrac{\pi}{9}x + \dfrac{\pi}{6}\right)$ : $A = 4\text{ cm}$ , $\omega = \dfrac{\pi}{5}$ , $k = \dfrac{\pi}{9}$ .
$\lambda = \dfrac{2\pi}{\pi/9} = 18\text{ cm}$ ; $v = \dfrac{9}{5} = 1.8\text{ cm/s}$ ; $f = 0.1\text{ Hz}$
So the answer is (b) $\lambda = 18\text{ cm}$ .

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Progressive Wave Equation question from NEET 1988 (AIPMT)

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