Exams › NEET › Physics

A transverse wave is represented by the equation y = y₀ sin [2π/λ (vt − x)]. For what value of λ is the maximum particle velocity equal to two times the wave velocity?

1. λ = 2πy₀
2. λ = πy₀/3
3. λ = πy₀/2
4. λ = πy₀

Correct answer: λ = πy₀/2

Solution

The maximum particle velocity is given by vmax = ωy₀, where ω = 2πv/λ. Setting vmax = 2v, we get 2πv/λ * y₀ = 2v. Simplifying, λ = πy₀/2.

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 →