Exams › NEET › Physics

The equation of a wave is given as y = 10⁻⁴ sin [100π − x/10]. Find the frequency and velocity of the wave.

1. y = 10⁻⁴ sin [100π − x/10], frequency = 100 Hz, velocity = 1000 m/s
2. y = 10⁻⁴ sin [100π − x/10], frequency = 50 Hz, velocity = 500 m/s
3. y = 10⁻⁴ sin [100π − x/10], frequency = 200 Hz, velocity = 2000 m/s
4. y = 10⁻⁴ sin [100π − x/10], frequency = 100 Hz, velocity = 1000 m/s

Correct answer: y = 10⁻⁴ sin [100π − x/10], frequency = 100 Hz, velocity = 1000 m/s

Solution

The wave equation is of the form y = A sin(ωt - kx). Here, ω = 100π, so frequency f = ω/2π = 100 Hz. The wave number k = 1/10, so wavelength λ = 2π/k = 20 m. Velocity v = fλ = 100 × 20 = 1000 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 →