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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 pipe $17\, cm$ long is closed at one end. Which harmonic mode of the pipe resonates a $1.5\, kHz$ source ?
(Speed of sound in air $= 340\, m\, s^{-1}$)
The equation of wave is given by $Y=10^{-2} \sin 2 \pi\left(160 t-0.5 x+\frac{\pi}{4}\right)$ Where $x$ and $Y$ are in $m$ and $t$ in $s$. The speed of the wave is $.....\,km h ^{-1}$
A train is moving with a constant speed along a large circular track. The engine of the train emits a sound of frequency $f$ . The frequency heard by the guard at rear end of the train
The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is $60 \mathrm{~cm}$, the length of the closed pipe will be :
The displacement of a particle in string stretched in $X$ direction is represented by $y.$ Among the following expressions for $y,$ those describing wave motions are
Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is