Waves And Sound Question 1
Question 1 - 24 January - Shift 1
A travelling wave is described by the equation $y(x, t)=[0.05 \sin (8 x-4 t] m$
The velocity of the wave is : [all the quantities are in SI unit]
(1) $4 ms^{-1}$
(2) $2 ms^{-1}$
(3) $0.5 ms^{-1}$
(4) $8 ms^{-1}$
Show Answer
Answer: (3)
Solution:
Formula: Wave number
From the given equation $k=8 m^{-1}$ and $\omega=4 rad / s$
Velocity of wave $=\frac{\omega}{k}$
$v=\frac{4}{8}=0.5 m / s$
