Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by $y = (10\cos \pi x\sin {{2\pi t} \over T})$ cm
The amplitude of the particle at $x = {4 \over 3}$ cm will be ___________ cm.
Answer (integer)
5
Solution
<p>$A = \left| {10\cos (\pi x)} \right|$</p>
<p>At $x = {4 \over 3}$</p>
<p>$A = \left| {10\cos \left( {\pi \times {4 \over 3}} \right)} \right|$</p>
<p>$=$ | $-$ 5 cm |</p>
<p>$\therefore$ Amp = 5 cm</p>
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%.