Exams › NEET › Physics

A transverse wave propagating along x-axis is represented by y(x, t) = 8.0 sin(0.5πx − 4πt − π/4), where x is in meters and t is in seconds. The speed of the wave is:

1. 0.5 m/s
2. π/4 m/s
3. 8 m/s
4. 4π m/s

Correct answer: 4π m/s

Solution

The wave equation is of the form y(x, t) = A sin(kx - ωt + φ), where k = 0.5π and ω = 4π. The wave speed v is given by v = ω/k. Substituting the values, v = (4π) / (0.5π) = 8 m/s.

Related NEET Physics questions

• In stationary waves, nodes are the points where there is:
• How does the sound produced by a vibrating object in a medium reach your ear?
• is the distance between consecutive corresponding points of the same phase, such as crests, troughs, compressions, rarefactions or zero crossings and is a characteristic of both travelling waves and standing waves, as well as other spatial wave patterns.
• An echo is simply a........of sound.
• The condition for constructive interference is path difference should be equal to :
• In a stationary wave:

⚔️ Practice NEET Physics free + battle 1v1 →