A wave travels in a medium according to the equation of displacement given by $y(x,\,t) = 0.03\sin \pi (2t - 0.01x)$ where $y$ and $x$ are in metres and $t$ in seconds. The wavelength of the wave is .... $m$
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A string of length $1\,\,m$ and linear mass density $0.01\,\,kgm^{-1}$ is stretched to a tension of $100\,\,N.$ When both ends of the string are fixed, the three lowest frequencies for standing wave are $f_1, f_2$ and $f_3$. When only one end of the string is fixed, the three lowest frequencies for standing wave are $n_1, n_2$ and $n_3$. Then
A person speaking normally produces a sound intensity of $40\,dB$ at a distance of $1\,m$. If the threshold intensity for reasonable audibility is $20\,dB,$ the maximum distance at which he can be heard clearly is ... $m$
Two tuning forks $A\,\, \& \,\,B$ produce notes of frequencies $256 Hz \,\,\& \,\,262 Hz$ respectively. An unknown note sounded at the same time as $A$ produces beats . When the same note is sounded with $B$, beat frequency is twice as large . The unknown frequency could be ... $Hz$
A man can hear sounds in frequency range $120\,Hz$ to $12020\,Hz$. only. He is vibrating a piano string having a tension of $240\,N$ and mass of $3\,gm$ . The string has a length of $8\,m$ . How many different frequencies can he hear ?
Vibrating tuning fork of frequency $n$ is placed near the open end of a long cylindrical tube. The tube has a side opening and is fitted with a movable reflecting piston. As the piston is moved through $8.75 cm$, the intensity of sound changes from a maximum to minimum. If the speed of sound is $350 \,m/s. $ Then $n$ is .... $Hz$
A wave represented by the equation $y_1 = a\,cos(Kx-\omega t)$ is superimposed with another wave to form a stationary wave such that the point $x = 0$ is a node. The equation for the other wave is
The path Difference between the two waves ${y_1} = {a_1}\,\sin \,\left( {\omega t - \frac{{2\pi x}}{\lambda }} \right)$ and ${y_2} = {a_2}\,\cos \,\left( {\omega t - \frac{{2\pi x}}{\lambda } + \phi } \right)$ is
Two waves of intensity ratio $1: 9$ cross each other at a point. The resultant intensities at the point, when $I_1(a)$ Waves are incoherent is $I_1(b)$ Waves are coherent is $I_2$ and differ in phase by $60^{\circ}$. If $\frac{I_1}{I_2}=\frac{10}{x}$ than $x$ =. . . . . . . . . . .