Which of the following functions for y can never represent a trav… - Vidyadip

MCQ

Which of the following functions for $y$ can never represent a travelling wave?

$(a)$ $\left(x^2-v t\right)^2$

$(b)$ $\log \left[\frac{(x+v t)}{x_0}\right]$

$(c)$ $e^{\left\{-\frac{(x+v t)}{x_0}\right\}^2}$

$(d)$ $\frac{1}{x+v t}$

✓
Only $(a)$
B
$(b)$ and $(c)$
C
$(c)$ and $(d)$
D
Only $(c)$

✓

Answer

Correct option: A.

Only $(a)$

a
(a)

The only function in the given function which is not of the form $f(k x-\omega t)$ is the first one $(a)$ Hence option $(a)$ is correct.

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