Question

Two waves in a string (all in SI units) are $y_1=0.6\sin (10t-20x)$ and $y_2=0.4\sin (10t+20x)$
Statement-1 : Stationary wave can be formed by their superposition but net energy transfer through any section will be non-zero.
Statement-2 : Their amplitudes are unequal.

• A. If both the statements are true and statement-2 is the correct explanation of statement-1
• B. If both the statements are true but statement-2 is not the correct explanation of statement-1
• C. If statement-1 is true and statement-2 is false
• D. If statement-1 is false and statement-2 is true

Answer 1

Answer: (A)

If both the statements are true and statement-2 is the correct explanation of statement-1

$y_1$ is moving in $+vex$ direction.
$y_2$ id moving in $-vex$ direction.
Thus when they are super positioned , stationary wave can be formed. Both waves are equal except for the amplitudes, which are $0.6$ and $0.4$ which causes them to produce stationary waves.