JEE PYQ: Waves And Sound Question 4
Question 4 - 2021 (24 Feb Shift 2)
Which of the following equations represents a travelling wave?
(1) $y = Ae^{-x^2}(vt + \theta)$
(2) $y = A\sin(15x - 2t)$
(3) $y = Ae^{x^2}\cos(\omega t - \theta)$
(4) $y = A\sin x\cos\omega t$
Show Answer
Answer: (2)
Solution
$Y = F(x, t)$
For travelling wave, $y$ should be linear function of $x$ and $t$ and they must exist as $(x \pm vt)$. $Y = A\sin(15x - 2t) \to$ linear function in $x$ and $t$.
BETA
