Question

Sound waves with velocity $v_0$ cause condensation and rarefaction. If $B$ is the bulk modulus of the medium and $y_0$ is amplitude of the wave and $\omega$ is angular frequency then maximum change in pressure $\Delta P$ is given by

• A. $\Delta P=\frac{B{y}_0\omega }{v_0}$
• B. $\frac{B{v}_0}{y_0\omega }$
• C. $B$
• D. $B{y}_{0}w$

Answer 1

The correct option is A $\Delta P=\frac{B{y}_0\omega }{v_0}$

$\Delta P=B\frac{v}{c}$ as per hint,
According to the question, $v_{max}=y_0\omega$ and $c=v_0$
$\Delta P=B\frac{y_0\omega }{v_0}$
Option 'A' is correct.