Question -
Answer -
Answer: No;
(a) Does not represent a wave
(b) Represents a wave
(c) Does not represent a wave
The converse of the given statement is not true. The essential requirement for a function to represent a travelling wave is that it should remain finite for all values of x and t.
Explanation:
(a) For x = 0 and t = 0, the function (x – vt)2 becomes 0.
Hence, for x = 0 and t = 0, the function represents a point and not a wave.
(b) For x = 0 and t = 0, the function
Since the function does not converge to a finite value for x = 0 and t = 0, it represents a travelling wave.
(c) For x = 0 and t = 0, the function
Since the function does not converge to a finite value for x = 0 and t = 0, it does not represent a travelling wave.