The wave described by y = 0.25 sin(10 π x - 2 π t), where x and y are in metres and t in seconds, is a wave travelling along the (a) +ve x direction with frequency 1 Hz and wavelength λ = 0.2 m. (b) - ve x direction with amplitude 0.25 m and wavelength λ = 0.2 m. (c) - ve x direction with frequency 1 Hz. (d) +ve x direction with frequency π Hz and wavelength λ = 0.2 m.

Answer: (a). k = 10π, so λ = (2π)/(10π) = 0.2 m. ω = 2π, so f = 1 Hz. Form (kx - ω t) means the wave travels along +x. So the answer is (a) +x direction, f = 1 Hz, λ = 0.2 m.

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Q95NEET 2008 · AIPMTEasy

Progressive Wave Equation

The wave described by y = 0.25 sin(10 $\pi$ x $-$ 2 $\pi$ t), where x and y are in metres and t in seconds, is a wave travelling along the

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Answer: (a)

$k = 10\pi$ , so $\lambda = \dfrac{2\pi}{10\pi} = 0.2\text{ m}$ .
$\omega = 2\pi$ , so $f = 1\text{ Hz}$ .
Form $(kx - \omega t)$ means the wave travels along $+x$ .
So the answer is (a) $+x$ direction, $f = 1\text{ Hz}$ , $\lambda = 0.2\text{ m}$ .

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