$A$ bat emits ultrasonic sound of frequency $1000 \; kHz$ in air. If the sound meets a water surface,what is the wavelength of
$(a)$ the reflected sound,
$(b)$ the transmitted sound?
Speed of sound in air is $340 \; m/s$ and in water is $1486 \; m/s$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
The frequency of the sound wave remains constant when it travels from one medium to another.
Given frequency,$\nu = 1000 \; kHz = 10^6 \; Hz$.
$(a)$ For the reflected sound in air:
Speed of sound in air,$v_a = 340 \; m/s$.
The wavelength $\lambda_r$ is given by $\lambda_r = \frac{v_a}{\nu} = \frac{340}{10^6} = 3.4 \times 10^{-4} \; m$.
$(b)$ For the transmitted sound in water:
Speed of sound in water,$v_w = 1486 \; m/s$.
The wavelength $\lambda_t$ is given by $\lambda_t = \frac{v_w}{\nu} = \frac{1486}{10^6} = 1.486 \times 10^{-3} \; m \approx 1.49 \times 10^{-3} \; m$.

Explore More

Similar Questions

The Earth has a radius of $6400 \ km$. The inner core of $1000 \ km$ radius is solid. Outside it,there is a region from $1000 \ km$ to a radius of $3500 \ km$ which is in a molten state. Then again from $3500 \ km$ to $6400 \ km$,the Earth is solid. Only longitudinal $(P)$ waves can travel inside a liquid. Assume that the $P$ wave has a speed of $8 \ kms^{-1}$ in solid parts and of $5 \ kms^{-1}$ in liquid parts of the Earth. An earthquake occurs at some place close to the surface of the Earth. Calculate the time after which it will be recorded in a seismometer at a diametrically opposite point on the Earth if the wave travels along the diameter.

Difficult
View Solution

Sound waves travel at $350 \ m/s$ through warm air and at $3500 \ m/s$ through brass. The wavelength of a $700 \ Hz$ acoustic wave as it enters brass from warm air:

The speed of sound in oxygen at $S.T.P.$ will be approximately: (Given,$R=8.3 \text{ J K}^{-1} \text{mol}^{-1}, \gamma=1.4$) (in $\text{ m/s}$)

Velocity of sound in air:
$I.$ Increases with temperature
$II.$ Decreases with temperature
$III.$ Increases with pressure
$IV.$ Is independent of pressure
$V.$ Is independent of temperature
Choose the correct answer.

Two monoatomic ideal gases '$1$' and '$2$' of molecular masses $m_1$ and $m_2$ respectively are enclosed in separate containers kept at the same temperature. The ratio of the speed of sound in gas '$1$' to that in gas '$2$' is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo