Q.35. The equation of a plane progressive wave is given by where x and y are in cm and t is in seco

Q: What is the correct answer for this exam Physics Q35?

The correct answer is D. Sol. The general equation of a progressive wave is $y = A \cos(\omega t - kx)$. Comparing with the given equation $y = 5 \cos \left(200\pi t - \frac{\pi}{150}x\right)$. We have $\omega = 200\pi$ and $k = \frac{\pi}{150}$. The velocity of the wave $v = \frac{\omega}{k} = \frac{200\pi}{\pi/150} = 200 \times 150 = 30000 \text{ cm/s}$. Converting to m/s: $30000 \text{ cm/s} = 300 \text{ m/s}$. Alterna

Q: Q.35. The equation of a plane progressive wave is given by where x and y are in cm and t is in second. The velocity of the wave is _______ m/s

The correct answer is D. Sol. The general equation of a progressive wave is $y = A \cos(\omega t - kx)$. Comparing with the given equation $y = 5 \cos \left(200\pi t - \frac{\pi}{150}x\right)$. We have $\omega = 200\pi$ and $k = \frac{\pi}{150}$. The velocity of the wave $v = \frac{\omega}{k} = \frac{200\pi}{\pi/150} = 200 \times 150 = 30000 \text{ cm/s}$. Converting to m/s: $30000 \text{ cm/s} = 300 \text{ m/s}$. Alterna

Q: What are the options for this this exam Physics question?

A. 120 · B. 150 · C. 200 · D. 300

Question

Q.35. The equation of a plane progressive wave is given by  where x and y are in cm and t is in second. The velocity of the wave is _______ m/s

FirstInTest · Accepted Answer

Sol. The general equation of a progressive wave is $y = A \cos(\omega t - kx)$. Comparing with the given equation $y = 5 \cos \left(200\pi t - \frac{\pi}{150}xight)$. We have $\omega = 200\pi$ and $k = \frac{\pi}{150}$. The velocity of the wave $v = \frac{\omega}{k} = \frac{200\pi}{\pi/150} = 200 	imes 150 = 30000 	ext{ cm/s}$. Converting to m/s: $30000 	ext{ cm/s} = 300 	ext{ m/s}$. Alternatively, $v = \frac{	ext{coeff of t}}{	ext{coeff of x}} = \frac{200\pi}{\pi/150} = 300 	ext{ m/s}$.

Answer

120

Answer

150

Answer

200

Answer

300

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