Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A wave is given by the equation $y=(0.02) \sin (\pi x-8 \pi t)$ then the velocity of the wave is ( $y$ and $x$ are in metre and $\mathrm{t}$ is in second)
PhysicsWaves and SoundTS EAMCETTS EAMCET 2023 (12 May Shift 1)
Options:
  • A $16 \mathrm{~ms}^{-1}$
  • B $2 \mathrm{~ms}^{-1}$
  • C $8 \mathrm{~ms}^{-1}$
  • D $18 \mathrm{~ms}^{-1}$
Solution:
2551 Upvotes Verified Answer
The correct answer is: $8 \mathrm{~ms}^{-1}$
A wave is given by
$\mathrm{y}=0.02 \sin (\pi \mathrm{x}-8 \pi \mathrm{t})$
Compare with
$\begin{aligned}
& \mathrm{y}=\mathrm{A} \sin (\mathrm{kx}-\omega \mathrm{t}) \\
& \mathrm{k}=\pi, \omega=8 \pi
\end{aligned}$
Velocity, $\mathrm{v}=\frac{\omega}{\mathrm{k}}=\frac{8 \pi}{\pi}=8 \mathrm{~m} / \mathrm{s}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.