In the wave equation y = 0.5sin (2π)/(λ)(400t - x) m the velocity of the wave will be: (a) 200 m/s (b) 200 √(2) m/s (c) 400 m/s (d) 400 √(2) m/s

Answer: (c). Compare with y = Asin (2π)/(λ)(vt - x). So v = 400 m/s. So the answer is (c) 400 m/s.

In the wave equation y = 0.5sin (2π)/(λ)(400t - x) m the velocity of… | JEE Main 2022 (28 Jul, Shift 1)

Q62JEE Main 2022 · 28 JUL · SHIFT 1Easy

Progressive Wave Equation

In the wave equation

$y = 0.5\sin\frac{2\pi}{\lambda}(400t - x)\text{ m}$

the velocity of the wave will be:

Show answer and solution

Answer: (c)

Which of the following equations correctly represents a travelling wave having wavelength…JEE Main 2022 (30 Jun, Shift 1)
A transverse wave is represented by y = 2sin (ω t - kx) cm. The value of wavelength (in…JEE Main 2022 (26 Jul, Shift 2)
A longitudinal wave is represented by x = 10sin 2π(nt - (x)/(λ)) cm. The maximum particle…JEE Main 2022 (29 Jun, Shift 1)
Equation of two simple harmonic waves are given by Y₁ = 2sin 8π(t/0.2 - x/2)m and Y₂ =…MHT CET 2021 (21 Sep, Shift 2)
Which of the following equations represents a travelling wave?JEE Main 2021 (24 Feb, Shift 2)
Velocity of sound waves in air is ' V ' m/s. For a particular sound wave in air, path…MHT CET 2021 (24 Sep, Shift 2)
Two waves are represented by the equation, y₁ = Asin (ω t + kx + 0.57)m and y₂ = Acos (ω…MHT CET 2021 (23 Sep, Shift 1)
A sound wave of frequency 160 Hz has a velocity of 320 m/s. When it travels through air…MHT CET 2021 (22 Sep, Shift 2)