Sound waves travel at $350\,\, m/s$ through a warm air and at $3500\,\, m/s$ through brass. The wavelength of a $700\,\, Hz$ acoustic wave as it enters brass from warm air
AIPMT 2011, Medium
Download our app for free and get started
$\text { Here, } v_{\text {air }}=350 \mathrm{m} / \mathrm{s}, v_{\text {brass }}=3500 \mathrm{m} / \mathrm{s}$
When a sound wave travels from one medium to another medium its frequency remains the same
$\because \quad$ Frequency, $v=\frac{v}{\lambda}$
since $v$ remains the same in both the medium
$\Rightarrow \quad \frac{v_{\text {air }}}{\lambda_{\text {air }}}=\frac{\nu_{\text {brass }}}{\lambda_{\text {brass }}}$
$\lambda_{\text {brass }}=\lambda_{\text {air }} \times \frac{V_{\text {brass }}}{V_{\text {air }}}=\lambda_{\text {air }} \times \frac{3500}{350}=10 \lambda_{\text {air }}$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1A tuning fork with frequency $800 \;\mathrm{Hz}$ produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Surface. Successive resonance are observed at length $9.75 \;\mathrm{cm}, 31.25\; \mathrm{cm}$ and $52.75\; \mathrm{cm} .$ The speed of sound in air is ......$m/s$View Solution
- 2A plane sound waves passes from medium $1$ into medium $2$. The speed of sound in medium $1$ is $200\,m/s$ and in medium $2$ is $100 \,m/s$. The ratio of amplitude of the transmitted wave to that of incident wave is :-View Solution
- 3A pipe $30\, cm$ long, is open at both ends. Which harmonic mode of the pipe resonates a $1.1\, kHz$ source ? (Speed of sound in air $= 330\, ms^{-1}$)View Solution
- 4Two closed organ pipes of length $100 \,cm$ and $101 \,cm$ $16$ beats in $20\, sec$. When each pipe is sounded in its fundamental mode calculate the velocity of sound .... $ms^{-1}$View Solution
- 5The pattern of standing waves formed on a stretched string at two instants of time (extreme,mean) are shown in figure. The velocity of two waves superimposing to form stationary waves is $360\ ms^{-1}$ and their frequencies are $256\ Hz$. Which is not possible value of $t$ (in $sec$)View Solution
- 6Two tuning forks, $A$ and $B$, give $4$ beats per second when sounded together. The frequency of $A$ is $320 Hz.$ When some wax is added to $B$ and it is sounded with $A, 4$ beats per second are again heard. The frequency of $B$ is .... $Hz$View Solution
- 7If $\vec{u}$ is instantaneous velocity of particle and $\vec{v}$ is velocity of wave, thenView Solution
- 8Following statements are given for a stationary waveView Solution
$(a)$ Every particle has a fixed amplitude which is different from the amplitude of its nearest particle.
$(b)$ All the particles cross their mean position at the same time.
$(c)$ All the particles are oscillating with same amplitude.
$(d)$ There is no net transfer of energy across any plane.
$(e)$ There are some particles which are always at rest.
Which of the following is correct
- 9A whistle sends out $256$ waves in a second. If the whistle approaches the observer with velocity $\frac{1}{3}$ of the velocity of sound in air, the number of waves per second the observer will receiveView Solution
- 10A composition string is made up by joining two strings of different masses per unit length $\rightarrow \mu$ and $4\mu$ . The composite string is under the same tension. A transverse wave pulse $: Y = (6 mm) \,\,sin\,\,(5t + 40x),$ where $‘t’$ is in seconds and $‘x’$ in meters, is sent along the lighter string towards the joint. The joint is at $x = 0$. The equation of the wave pulse reflected from the joint isView Solution