Question

If the speed of the wave shown in the figure is $330\, m / s$ in the given medium, then the equation of the wave propagating in the positive $x$ -direction will be (all quantities are in M.K.S. units)

• A. $y=0.05 \sin 2 \pi(4000 t-12.5 x)$
• B. $y=0.05 \sin 2 \pi(4000 t-122.5 x)$
• C. $y=0.05 \sin 2 \pi(3300 t-10 x)$
• D. $y=0.05 \sin 2 \pi(3300 x-10 t)$

Answer 1

Answer: (C)

Here $A=0.05\, m , \frac{5 \lambda}{2}=0.025$
$\Rightarrow \lambda=0.1\, m$
Now standard equation of wave
$y=A \sin \frac{2 \pi}{\lambda}(v t-x)$
$\Rightarrow y=0.05 \sin 2 \pi(3300 t-10 x)$