Question

Two waves of equal amplitude $x_o$ and equal frequency travel in the same direction in a medium. The amplitude of the resultant wave is :

• A. $0$
• B. $x_o$
• C. $2x_o$
• D. Between $0$ and $2x_o$

Answer 1

Answer: (D)

Between $0$ and $2x_o$

Two waves of equal amplitude $x_o$ and equal frequency travel in the same direction in a medium.

$\therefore$ Amplitude of the resultant wave is given by,

$R=x_1+x_2$

$R$ is minimum when both are zero.

$R$ is maximum when both are $x_o$.

$\therefore R_{max}=x_o+x_o=2x_o$

$\therefore$ Amplitude of the resultant wave is given between $0$ and $2x_o$