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Waves

JEE Main level, numerical answer, medium

6 of 142

Question 6 of 142

A transverse harmonic wave on a string is given by $y\left(x,t\right)=5\sin \left(6t+0.003x\right)$ where $x$ and $y$ are in $cm$ and $t$ in $\sec$ . The wave velocity is _________ $m{s}^{-1}$ .

Show answer and solution

Answer: 20

The general equation for a wave can be written as

y=A\sin \left(\omega t+kx\right)

. Comparing it with the given equation,

y=5\sin \left(6t+0.003x\right)

\omega =6rad{s}^{-1}

k=0.003{cm}^{-1}

Using the equation,

v=\dfrac{\omega }{k}

v=\dfrac{6}{0.003\times {10}^{2}}=20m{s}^{-1}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Waves (Basics of Mechanical Waves), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

A transverse harmonic wave on a string is given by y(x,t)=5sin⁡(6t+0.003x)y\left(x,t\right)=5\sin \left(6t+0.003x\right)y(x,t)=5sin(6t+0.003x) where xxx and yyy are in cmcmcm and ttt in sec⁡\secsec. The wave velocity is _________ ms−1m{s}^{-1}ms−1.

JEE Main question paper PDF

More Physics practice

A transverse harmonic wave on a string is given by $y\left(x,t\right)=5\sin \left(6t+0.003x\right)$ where $x$ and $y$ are in $cm$ and $t$ in $\sec$ . The wave velocity is _________ $m{s}^{-1}$ .