JEE Main 2026 · 2 Apr · Shift 1 · Physics Q35

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PhysicsSingle correct+4 / -1Question 35 of 75

The equation of a plane progressive wave is given by $y=5\cos\pi\left(200t-\dfrac x{150}\right)$ where $x$ and $y$ are in cm and $t$ is in second. The velocity of the wave is ________ m/s.

120

150

200

300

Answer and worked solution

Official answer: D

Read off the wave. $\omega=200\pi$ rad/s and $k=\dfrac\pi{150}$ cm⁻¹.

Speed. $v=\dfrac\omega k=200\times150=3\times10^4$ cm/s $=300$ m/s.

(D)

Topics:Wave equation and progressive waves

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JEE Main 2026 · 2 Apr · Shift 1, Physics question 35