First slide

Equation of wave

Question

An equation of plane progressive wave y = $\frac{a}{π}$ sin $\frac{2 π}{3} (t - \frac{x}{b})$ . If maximum velocity of particle and velocity of wave are equal. Now $\frac{a}{b}$ will be

Easy

A

$\frac{2}{3}$
B

$\frac{3}{2}$
C

$\frac{1}{2}$
D

None of these

Solution

$\begin{array}{l} {(v_{p})}_{\max} = \frac{a}{π} \frac{2 π}{3} = 2 a / 3 \\ {(v)}_{w a v e} = \frac{1}{1 / b} = b \end{array}$
$\begin{array}{l} g i v e n \frac{2 a}{3} = b \\ \frac{a}{b} = 3 / 2 \end{array}$

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