Physics · Wave motion, longitudinal and transverse waves, speed of the travelling wave, displacement relation for a progressive wave
The velocity of progressive wave which produces the stationary wave, \cos (\pi t
The velocity of progressive wave which produces the stationary wave, \( y=2 \) \( \sin \left(\frac{\pi x}{100}\right) \cos (\pi t) \mathrm{m}: \)
- A. \( 100 m / s \)
- B. \( 1 \mathrm{m} / \mathrm{s} \)
- C. \( 50 m / s \)
- D. \( 1000 \mathrm{m} / \mathrm{s} \)
Step-by-step solution
The stationary wave equation is y = 2 sin(πx/100) cos(πt). Comparing with standard form y = 2A sin(kx) cos(ωt), we get k = π/100 rad/m and ω = π rad/s. The speed of the progressive wave is v = ω/k = π / (π/100) = 100 m/s.
Related MCQs
- A train is approaching towards a platform with a speed of while blowing a whistle of frequency What is the frequency of whistle heard by a s…
- How does the sound produced by a vibrating object in a medium reach your ear?…
- Bats detect the obstacle in their path by receiving the detected…
- is the distance between consecutive corresponding points of the same phase, such as crests, troughs, compressions, rarefactions or zero cros…
- When a sound is going away from a stationary observer with the velocity equal to that of sound in air, then the frequency heard by observer …