Progressive wave of sound is represented by $y = a\sin [400\pi \,t - \pi x/6.85]$ where $x$ is in $m$ and $t$ is in sec. Frequency of the wave will be .... $Hz$
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The superposing waves are represented by the following equations :${y_1} = 5\sin 2\pi (10\,t - 0.1x)$, ${y_2} = 10\sin 2\pi (20\,t - 0.2x)$ Ratio of intensities $\frac{{{I_{\max }}}}{{{I_{\min }}}}$ will be
A string of length $1\ m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200\ N$ and linear mass density is $5\ gm/m$ . Frequency of these vibrations is ..... $Hz$
The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire .... $Hz$ ?
A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$ then the value of $a$ is
A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_i, a_r$ and $a_t$ be the amplitude of incident wave, reflected wave and transmitted wave and $I_i, I_r$ and $I_t$ be the corresponding intensities. Then choose the correct alternatives
The equation of a wave motion (with $t$ in seconds and $x$ in metres) is given by $y = 7\sin \,\left[ {7\pi t - 0.4\pi x + \frac{\pi }{3}} \right]$. The velocity of the wave will be
A person driving car at a constant speed of $15\,m / s$ is approaching a vertical wall. The person notices a change of $40\,Hz$ in the frequency of his car's horn upon reflection from the wall. The frequency of horn is ............ $Hz$. (Given : Speed of sound : $330\,m / s$ )