The wavelengths of two waves are $50$ and $51 cm$ respectively. If the temperature of the room is ${20^o}C$, then what will be the number of beats produced per second by these waves, when the speed of sound at ${0^o}C$ is $\,332 m/sec$
Medium
Download our app for free and get started
(a) ${v_0} = 332\, m/s$. Velocity sound at $t°C$ is ${v_t} = ({v_0} + 0.61\,t)$
==> ${v_{20}} = {v_0} + 0.61 \times 20 = 344.2$$m/s$
==> $\Delta n = {v_{20}}\left( {\frac{1}{{{\lambda _1}}} - \frac{1}{{{\lambda _2}}}} \right)$$ = 344.2\left( {\frac{{100}}{{50}} - \frac{{100}}{{51}}} \right) = 14$
==> ${v_{20}} = {v_0} + 0.61 \times 20 = 344.2$$m/s$
==> $\Delta n = {v_{20}}\left( {\frac{1}{{{\lambda _1}}} - \frac{1}{{{\lambda _2}}}} \right)$$ = 344.2\left( {\frac{{100}}{{50}} - \frac{{100}}{{51}}} \right) = 14$
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
- 1Stationary waves are produced in $10\,m$ long stretched string. If the string Vibrates in $5$ segments and wave velocity $20\,m/s$ the frequency is ..... $Hz$View Solution
- 2For a certain organ pipe, the first three resonance frequencies are in the ratio of $1:3:5$ respectively. If the frequency of fifth harmonic is $405\,Hz$ and the speed of sound in air is $324 \,ms ^{-1}$ the length of the organ pipe is $..........m.$View Solution
- 3A source of sound is travelling at $\frac{{100}}{3}\,m/\sec $ along a road, towards a point $A$, when the source is $3\, m$ away from $A$, a person standing at a point $O$ on a road at perpendicular position. The distance of $O$ from $A$ at that time is $4\,m$. If the original frequency is $640\, Hz$,then the value of apperent frequency listen by person is ...... $Hz$ (speed of sound is $340\, m/sec$)View Solution
- 4A person blows into open-end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this pulse reaches the other end of the pipe then which of the following statements are true ?View Solution
$(I)$ a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is open
$(II)$ a low -pressure pulse starts travelling up the pipe, if the other end of the pipe is open
$(III)$ a low pressure pulse starts travelling up the pipe, if the other end of the pipe is closed
$(IV)$ a high-pressure pulse starts travelling up the pipe, if the other end of the pipe is closed
- 5A speeding motorcyclist sees traffic jam ahead him. He slows down to $36\,\, km\,\,hour^{-1}$ He finds that traffic has eased and a car moving ahead of him at $18 \,\, km\,\,hour^{-1}$ is honking at a frequency of $1392\,\, Hz.$ If the speed of sound is $343\, m s^{-1}$, the frequency of the honk as heard by him will be .... $Hz$View Solution
- 6The 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
- 7A light wave travels through three transparent materials of equal thickness. Rank in order, from the highest to lowest, the indices of refraction $n_1, n_2$ and $n_3$.View Solution
- 8View SolutionA wave is reflected from a rigid support. The change in phase on reflection will be
- 9First overtone frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. Further nth harmonic of closed organ pipe is also equal to the mth harmonic of open pipe, where $n$ and $m$ are:View Solution
- 10An air column in a pipe, which is closed at one end, will be in resonance wtih a vibrating tuning fork of frequency $264\, Hz$ if the length of the column in $cm$ is (velocity of sound $= 330\, m/s$)View Solution