Question

For a string clamped at both its ends, which of the following wave equation is/are valid for a stationary wave set up in it? (Origin is at one end of string).

• A. $y=A\sin kx.\sin \omega t$
• B. $y=A\cos kx\sin \omega t$
• C. $y=A\sin kx.\cos \omega t$
• D. $y=A\cos kx\cos \omega t$

Answer 1

Answer: (A), (C)

The correct options are
A $y=A\sin kx.\sin \omega t$
C $y=A\sin kx.\cos \omega t$

For all values of t, y$=0$ at $x=0$
Hence, (A) and (C) are correct.