The displacement of a travelling wave y = Csin (2π)/(λ)(at - x) where t is time, x is distance and λ is the wavelength, all in S.I. units. Then the frequency of the wave is (a) (2πλ)/(a) (b) (2π a)/(λ) (c) (λ)/(a) (d) (a)/(λ)

Answer: (d). y = Csin ((2π a)/(λ)t - (2π)/(λ)x), so ω = (2π a)/(λ). f = (ω)/(2π) = (a)/(λ) So the answer is (d) (a)/(λ).

The displacement of a travelling wave y = Csin (2π)/(λ)(at - x) where… | NEET 2024

Q36NEET 2024Easy

Progressive Wave Equation

The displacement of a travelling wave $y = C\sin\frac{2\pi}{\lambda}(at - x)$ where $t$ is time, $x$ is distance and $\lambda$ is the wavelength, all in S.I. units. Then the frequency of the wave is

Show answer and solution

Answer: (d)

$y = C\sin\left(\dfrac{2\pi a}{\lambda}t - \dfrac{2\pi}{\lambda}x\right)$ , so $\omega = \dfrac{2\pi a}{\lambda}$ .
$f = \dfrac{\omega}{2\pi} = \dfrac{a}{\lambda}$
So the answer is (d) $\dfrac{a}{\lambda}$ .

Report a mistake

More questions on Progressive Wave Equation

A plane progressive wave is given by y = 2cos 2π(330t - x)m. The frequency of the wave is:JEE Main 2024 (8 Apr, Shift 2)
The displacement of a wave is given by y = 0.002sin (100t + x) where ' x 'and ' y ' are…MHT CET 2024 (3 May, Shift 1)
Velocity of sound waves in air is 330 m/s. For a particular sound wave in air, path…MHT CET 2024 (15 May, Shift 2)
The diagram shows the propagation of a progressive wave. A, B, C, D, E are five points on…MHT CET 2024 (9 May, Shift 2)
A transverse wave travelling along a stretched string has a speed of 30 m/s and a…MHT CET 2024 (4 May, Shift 2)
The distance between two consecutive points with phase difference of 60° in wave of…MHT CET 2024 (4 May, Shift 1)
A progressive wave of frequency 400 Hz is travelling with a velocity 336 m/s. How far…MHT CET 2024 (4 May, Shift 1)
The path difference between two waves Y₁ = a₁sin (ω t - (2π x)/(λ)) and Y₂ = a₂cos (ω t -…MHT CET 2024 (3 May, Shift 1)

Progressive Wave Equation question from NEET 2024

More questions on Progressive Wave Equation