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A wave is represented by $x=4 \cos \left(8 t-\frac{y}{2}\right)$, where $x$ and $y$ are in metre and $t$ in second. The frequency of the wave $\left(\right.$ in $^{-1}$ ) is .........
A source of sound $S$ having frequency $f.$ Wind is blowing from source to observer $O$ with velocity $u$. If speed of sound with respect to air is $C,$ the wavelength of sound detected by $O$ is:
An air column in a pipe, which is closed at one end, will be in resonance with a vibrating body of frequency $166 \,Hz$, if the length of the air column is .... $m$
Two cars moving in opposite directions approach each other with speed of $22\, m s^{-1}$ and $16.5 \, m s^{-1}$ respectively. The driver of the first car blows a horn having a frequency $400 \,Hz.$ The frequency heard by the driver of the second car is ..... $Hz$ (velocity of sound is $340 \, m s^{-1}$)
Four open organ pipes of different lengths and different gases at same temperature as shown in figure. Let $f_A$, $f_B$, $f_C$ and $f_D$ be their fundamental frequencies then :[Take ${\gamma _{c{o_2}}} = 7/5$]
A progressive wave travelling along the positive $x-$ direction is represented by $y(x, t) = A\,sin\,\left( {kx - \omega t + \phi } \right)$. Its snapshot at $t = 0$ is given in the figure For this wave, the phase $\phi $ is
An observer moves towards a stationary source of sound with a speed $1/5^{th}$ of the speed of sound. The wavelength and frequency of the source emitted are $\lambda $ and $f$ respectively. The apparent frequency and wavelength recorded by the observer are respectively