Physics - Wave on String Question with Solution | TestHub

Given:
Wavelength in medium P, ${\lambda }_P=150\text{ mm}=0.15\text{ m}$
Wavelength in medium Q, ${\lambda }_Q=0.30\text{ m}$
Velocity in medium P, $v_P=80\text{ cm/s}=0.8\text{ m/s}$

The frequency $f$ of the wave remains constant when it travels from one medium to another.

$f=\frac{v_P}{{\lambda }_P}=\frac{v_Q}{{\lambda }_Q}$

$v_Q=v_P\times \frac{{\lambda }_Q}{{\lambda }_P}$

$v_Q=0.8\times \frac{0.30}{0.15}$

$v_Q=0.8\times 2=1.6\text{ m/s}$

Answer: $1.6$