A transverse wave of amplitude $0.5\, m$ and wavelength $1\, m$ and frequency $2\, Hz$ is propagating in a string in the negative $x-$direction. The expression for this wave is
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The disturbance $y (x, t)$ of a wave propagating in the positive. $x-$ direction is given by $y = \frac{1}{{1 + {x^2}}}$ at time $t\,= 0$ and by $y = \frac{1}{{\left[ {1 + {{\left( {x - 1} \right)}^2}} \right]}}$ at $t\, = 2\, s$, where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in $m/s$ is
A 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 receive
If the speed of the wave shown in the figure is $330m/s$ in the given medium, then the equation of the wave propagating in the positive $x-$direction will be (all quantities are in $M.K.S.$ units)
A guitar string of length $90\,cm$ vibrates with a fundamental frequency of $120\,Hz.$ The length of the string producing a fundamental frequency of $180\,Hz$ will be $...........cm$.
The fundamental frequency of a closed pipe is $220 Hz$. If $\frac{1}{4}$ of the pipe is filled with water, the frequency of the first overtone of the pipe now is ..... $Hz$
A source of sound $S$ emitting waves of frequency $100\,\, Hz$ and an observer $O$ are ocated at some distance from each other. The source is moving with a speed of $19 .4\,\, m s^{-1}$ at an angle of $60^o $ with the source observer line as shown in the figure. The observer is at rest. The apparent frequency observed by the observer .... $Hz$ (velocity of sound in air $330 \,\, m s^{-1}$), is
If the velocity of sound in air is $350 m/s$. Then the fundamental frequency of an open organ pipe of length $50\,cm,$ will be ............... $\mathrm{Hz}$
The disturbance $y (x, t)$ of a wave propagating in the positive. $x-$ direction is given by $y = \frac{1}{{1 + {x^2}}}$ at time $t\,= 0$ and by $y = \frac{1}{{\left[ {1 + {{\left( {x - 1} \right)}^2}} \right]}}$ at $t\, = 2\, s$, where $x$ and $y$ are in meters. The shape of the wave disturbance does not change during the propagation. The velocity of wave in $m/s$ is
A train moves towards a stationary observer with speed $34 m/s$. The train sounds a whistle and its frequency registered by the observer is ${f_1}$. If the train’s speed is reduced to $17\, m/s$, the frequency registered is ${f_2}$. If the speed of sound is 340 m/s then the ratio ${f_1}/{f_2}$ is
The power of sound from the speaker of a radio is $20$ milli watt by turning the knob of the volume control the power of the sound is increased to $400$ milli watt. The power increase in decibles as compared to the original power is ..... $dB$