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MHT CET 2022 (11 Aug, Shift 2) · Periodic Motion & SHM Basics

Periodic Motion & SHM Basics question from MHT CET 2022 (11 Aug, Shift 2)

Q44MHT CET 2022 · 11 AUG · SHIFT 2Medium

Periodic Motion & SHM Basics

In a medium, the phase difference between two particles separated by a distance ' $x$ ' is $\left(\frac{\pi}{5}\right)$ c. If the frequency of the oscillation of particles is $25\text{ Hz}$ and the velocity of propagation of the waves is $75\text{ m/s}$ , then the value of $x$ is

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Answer: (d)

$\lambda = \frac{v}{f} = \frac{75}{25} = 3\text{ m}$
$x = \frac{\lambda}{2\pi}\Delta\phi = \frac{3}{2\pi}\cdot\frac{\pi}{5} = 0.3\text{ m}$
So the answer is (d) 0.3 m.

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