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 .... $Hz$ ?
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A tuning fork $A$ produces $4$ beats/sec with another tuning fork $B$ of frequency $320 Hz$. On filing the fork $A$, $4$ beats/sec are again heard. The frequency of fork $A$, after filing is ....$Hz$
When a guitar string is sounded with a $440\, Hz$ tuning fork, a beat frequency of $5\, Hz$ is heard. If the experiment is repeated with a tuning fork of $437\,Hz$, the beat frequency is $8\, Hz$. The string frequency $(Hz)$ is
A plane sound waves passes from medium $1$ into medium $2$. The speed of sound in medium $1$ is $200\,m/s$ and in medium $2$ is $100 \,m/s$. The ratio of amplitude of the transmitted wave to that of incident wave is :-
Three waves of equal frequency having amplitudes $10\mu m,$ $4\mu m,$ $7\mu m$ arrive at a given point with successive phase difference of $\frac{\pi }{2},$ the amplitude of the resulting wave in $\mu m$ is given by
One insulated conductor from a household extension cord has a mass per unit length of $μ.$ A section of this conductor is held under tension between two clamps. A subsection is located in a magnetic field of magnitude $B$ directed perpendicular to the length of the cord. When the cord carries an $AC$ current of $"i"$ at a frequency of $f,$ it vibrates in resonance in its simplest standing-wave vibration state. Determine the relationship that must be satisfied between the separation $d$ of the clamps and the tension $T$ in the cord.
A siren placed at a railway platform is emitting sound of frequency $5 kHz$. A passenger sitting in a moving train $A$ records a frequency of $5.5 kHz$ while the train approaches the siren. During his return journey in a different train $B$ he records a frequency of $6.0 kHz$ while approaching the same siren. The ratio of the velocity of train $B$ to that of train $A$ is