The equation of a progressive wave is Y = asin 2π(nt - x/5). The ratio of maximum particle velocity to wave velocity is (a) (π a)/(5) (b) (2π a)/(5) (c) (3π a)/(5) (d) (4π a)/(5)

Answer: (b). Y = asin (2π n t - 2π/5x), so k = 2π/5. vmaxv = (aω)/(ω/k) = ak = (2π a)/(5) So the answer is (b) (2π a)/(5).

The equation of a progressive wave is Y = asin 2π(nt - x/5). The… | MHT CET 2023 (13 May, Shift 2)

Q53MHT CET 2023 · 13 MAY · SHIFT 2Easy

Progressive Wave Equation

The equation of a progressive wave is $Y = a\sin 2\pi\left(nt - \frac{x}{5}\right)$ . The ratio of maximum particle velocity to wave velocity is

Show answer and solution

Answer: (b)

A progressive wave is given by, Y = 12sin (5t - 4x). On this wave, how far away are the…MHT CET 2023 (14 May, Shift 1)
The displacement of two sinusoidal waves is given by the equation matrix y₁ = 8sin (20x -…MHT CET 2023 (12 May, Shift 1)
The path difference between two waves, represented by y₁ = a₁sin (ω t - (2π x)/(λ)) and…MHT CET 2023 (11 May, Shift 2)
The distance between two consecutive points with phase difference of 60 ° in a wave of…JEE Main 2023 (25 Jan, Shift 1)
A transverse wave Y = 2sin (0.01x + 30t) moves on a stretched string from one end to…MHT CET 2023 (11 May, Shift 1)
A transverse wave in a medium is given by y = Asin 2(ω t - kx). It is found that the…MHT CET 2023 (11 May, Shift 2)
The equation of simple harmonic progressive wave is given by y = asin 2π(bt - cx). The…MHT CET 2023 (9 May, Shift 2)
The equation of the wave is Y = 10sin ((2π t)/(30) + α) If the displacement is 5 cm at t…MHT CET 2023 (14 May, Shift 1)