In a medium, sound travels $2 ext{ km}$ in $3 ext{ s}$ and in air, it travels $3 ext{ km}$ in $10 ext{ s}$. The ratio of the wavelengths of sound in the two media is

Question

In a medium, sound travels $2	ext{ km}$ in $3	ext{ s}$ and in air, it travels $3	ext{ km}$ in $10	ext{ s}$. The ratio of the wavelengths of sound in the two media is

Aicharya · Accepted Answer

Velocity, $v = n\lambda$ As frequency $n$ remains constant, $v \propto \lambda \Rightarrow \frac{\lambda_1}{\lambda_2} = \frac{v_1}{v_2} = \frac{2 / 3}{3 / 10} = \frac{20}{9}$

In a medium, sound travels $2\text{ km}$ in $3\text{ s}$ and in air, it travels $3\text{ km}$ in $10\text{…

Solution