Student Login

Home›Chapters›Wave Motion PYQs›Progressive Wave Equation›Question 46

MHT CET 2024 (2 May, Shift 1) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2024 (2 May, Shift 1)

Q46MHT CET 2024 · 2 MAY · SHIFT 1Easy

Progressive Wave Equation

Velocity of sound waves in air is $330\text{ m/s}$ . For a particular sound wave in air, path difference of 40 cm is equivalent to phase difference of $1.6\pi$ . The frequency of this wave is

Show answer and solution

Answer: (c)

$\Delta\phi = \frac{2\pi}{\lambda}\Delta x \Rightarrow 1.6\pi = \frac{2\pi \times 0.4}{\lambda}$ , so $\lambda = 0.5$ m.
$f = \frac{v}{\lambda} = \frac{330}{0.5} = 660$ Hz
So the answer is (c) 660 Hz.

Report a mistake

More questions on Progressive Wave Equation

A string has mass per unit length of 10⁻⁶ kg/cm The equation of simple harmonic wave…MHT CET 2024 (15 May, Shift 2)
The equation of wave motion is Y = 5sin (10π t - 0.02π x + π/3) where x is in metre and t…MHT CET 2023 (12 May, Shift 2)
The equation of wave is Y = 6sin (12π t - 0.02π x + π/3) where ' x ' is in m and ' t ' in…MHT CET 2023 (10 May, Shift 2)
A travelling wave is described by the equation y(x, t) = [0.05sin (8x - 4t)] m The…JEE Main 2023 (24 Jan, Shift 1)
The equation of wave is given by Y = 10⁻²sin 2π(160t - 0.5x + π/4) where x and Y are in m…JEE Main 2023 (11 Apr, Shift 1)
A transverse harmonic wave on a string is given by y(x, t) = 5sin (6t + 0.003x) where x…JEE Main 2023 (10 Apr, Shift 1)
The equation of a progressive wave is Y = asin 2π(nt - x/5). The ratio of maximum…MHT CET 2023 (13 May, Shift 2)
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)