Student Login

Home›Chapters›Wave Motion PYQs›Progressive Wave Equation›Question 69

MHT CET 2021 (23 Sep, Shift 1) · Progressive Wave Equation

Progressive Wave Equation question from MHT CET 2021 (23 Sep, Shift 1)

Q69MHT CET 2021 · 23 SEP · SHIFT 1Easy

Progressive Wave Equation

Two waves are represented by the equation, $y_1 = A\sin(\omega t + kx + 0.57)\text{m}$ and $y_2 = A\cos(\omega t + kx)\text{m}$ , where $x$ is in metre and $t$ is in second. What is the phase difference between them?

Show answer and solution

Answer: (b)

$y_2 = A\cos(\omega t + kx) = A\sin(\omega t + kx + 1.57)$ since $\frac{\pi}{2} \approx 1.57$ .
$\Delta\phi = 1.57 - 0.57 = 1.0$ rad
So the answer is (b) 1.0 radian.

Report a mistake

More questions on Progressive Wave Equation

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)
A sound wave is travelling with a frequency of 50 Hz. The phase difference between the…MHT CET 2021 (22 Sep, Shift 1)
A progressive wave of frequency 50 Hz is travelling with velocity 350 m/s through a…MHT CET 2021 (21 Sep, Shift 1)
A transverse wave given by y = 2sin (0.01x + 30t) moves on a stretched string from one…MHT CET 2021 (22 Sep, Shift 1)
A sound wave of frequency 245 Hz travels with the speed of 300 ms ⁻¹ along the positive…JEE Main 2021 (17 Mar, Shift 2)
A simple harmonic progressive wave is given by Y = Y₀sin 2π(nt - (x)/(λ)). If the wave…MHT CET 2021 (21 Sep, Shift 1)
The equation of wave is given by y = 10sin ((2π t)/(30) + α). If the displacement is 5 cm…MHT CET 2021 (20 Sep, Shift 1)
The equation of simple harmonic wave produced in the string under tension 0.4 N is given…MHT CET 2021 (21 Sep, Shift 2)