Easy MCQ +4 / -1 PYQ · JEE Mains 2023

A travelling wave is described by the equation

$y(x,t) = [0.05\sin (8x - 4t)]$ m

The velocity of the wave is : [all the quantities are in SI unit]

  1. A $\mathrm{4~ms^{-1}}$
  2. B $\mathrm{2~ms^{-1}}$
  3. C $\mathrm{8~ms^{-1}}$
  4. D $\mathrm{0.5~ms^{-1}}$ Correct answer

Solution

$\because y(x, t)=[0.05 \sin (8 x-4 t)] \mathrm{m}$ <br/><br/> $$ \begin{aligned} \text { Speed of wave } & =\left|\frac{\text { Coefficient of } t}{\text { Coefficient of } x}\right| \\\\ & =\frac{4}{8}=0.5 \mathrm{~ms}^{-1} \end{aligned} $$

About this question

Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types

This question is part of PrepWiser's free JEE Main question bank. 88 more solved questions on Waves are available — start with the harder ones if your accuracy is >70%.

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →