Question

A source of sound vibrates according to the equation $y=0.03\sin \pi t$. The velocity of the wave is $1.5$ m/s. What is the wavelength of the wave?

• A. $3$ m
• B. $6$ m
• C. $4.5$ m
• D. $1.5$ m

Answer 1

The correct option is A $3$ m

On comparing with the equation $y=A\sin wt$

we get $A=0.03$ and $w=\pi$

Velocity of wave is given as $v=1.5m/s$

So, $k=\frac{w}{v}=\frac{\pi }{1.5}$

Wavelength $\lambda =\frac{2\pi }{k}=\frac{2\pi }{\left(\pi /1.5\right)}=3m$