Two waves of wavelengths $99\, cm$ and $100\, cm$ both travelling with velocity $396\, m/s$ are made to interfere. The number of beats produced by them per second is
Medium
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Velocity of wave $\mathrm{v}=\mathrm{n} \lambda$
where $\mathrm{n}=$ frequency of wave $\Rightarrow \mathrm{n}=\frac{\mathrm{v}}{\lambda}$
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The amplitude of wave disturbance propagating in the positive $x$-direction is given by $y=\frac{1}{(1+x)^{2}}$ at time $t=0$ and $y=\frac{1}{1+(x-2)^{2}}$ at $t=1$ s, where $x$ and $y$ are in metres. The shape of wave does not change during the propagation. The velocity of the wave will be $...\,{m} / {s}.$
A siren emitting a sound of frequency $800\,\, Hz$ moves away from an observer towards a cliff at a speed of $15 \,\,m s^{-1}$. Then, the frequency of sound that the observer hears in the echo reflected from the cliff is .... $Hz$
(Take velocity of sound in air $= 330\,\, m s^{-1}$)
A tuning fork $A$ of unknown frequency produces $5\, beats/s$ with a fork of known frequency $340\, Hz$. When fork $A$ is filed, the beat frequency decreases to $2\, beats/s.$ What is the frequency of fork $A$ ? (in $Hz$)
A sonometer wire, with a suspended mass of $M = 1\, kg$, is in resonance with a given tuning fork. The apparatus is taken to the moon where the acceleration due to gravity is $(1/6)$ that on earth. To obtain resonance on the moon, the value of $M$ should be ......... $kg$
If $y_1 = 5 (mm)\ \sin\pi t$ is equation of oscillation of source $S_1$ and $y_2$ $=$ $5$ $(mm)$ $sin(\pi t + \pi /6)$ be that of $S_2$ and it takes $1$ $sec$ and $\frac{1}{2}\ sec$ for the transverse waves to reach point $A$ from sources $S_1$ and $S_2$ respectively then the resulting amplitude at point $A$, is .... $mm$
A source and an observer approach each other with same velocity $50 m/s$. If the apparent frequency is $435 \,s^{-1}$, then the real frequency is .... $s^{-1}$
Oxygen is $16$ times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixed. The ratio of speed of sound in the mixture to that in hydrogen is
A person observes two moving trains, '$A$' reaching the station and '$B$' leaving the station with equal speed of $30\,m / s$. If both trains emit sounds with frequency $300\,Hz$, (Speed of sound : $330\,m / s$ ) approximate difference of frequencies heard by the person will be $..........Hz$