Question

A wave equation which gives the displacement along Y-direction is given $y={10}^4\sin (60t+2x)$ where $x$ and $y$ are in meter and $t$ in sec. Among the following choose the correct statement:

• A. It represents a wave propagating along positive x-axis with a velocity of $30m/s$.
• B. It represents a wave propagating along negative x-axis with a velocity of $120m/s$.
• C. It represents a wave propagating along negative x-axis with a velocity of $30m/s$.
• D. It represents a wave propagating along negative x-axis with a velocity of ${10}^{4}m/s$.

Answer 1

Answer: (A), (C), (D)

The correct options are
A It represents a wave propagating along positive x-axis with a velocity of $30m/s$.
C It represents a wave propagating along negative x-axis with a velocity of $30m/s$.
D It represents a wave propagating along negative x-axis with a velocity of ${10}^{4}m/s$.

$\left(A\right)$ It represents a wave propagating along positive x-axis with a velocity of 30 m/s

$\left(C\right)$ It represents a wave propagating along negative x-axis with a velocity of 30 m/s30 m/s.

$\left(D\right)$ It represents a wave propagating along negative x-axis with a velocity of 104 m/s104 m/s.

$\therefore$ Option $A,C$ and $D$ is correct answer.