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A motorcyclist going around a circular track of radius $50\ m$ with a speed of $25\ m/s$ , is at a point $X$. A static siren at $Y$ is emitting sound of frequency $n$. How many times (approximately) in an hour will the motor cyclist hear the sound of actual frequency $Y$ ?
Two sinusoidal waves with same wavelengths and amplitudes travel in opposite directions along a string with a speed $10 ms^{-1}$. If the minimum time interval between two instants when the string is flat is $0.5\, s$, the wavelength of the waves is .... $m$
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
In an experiment with sonometer a tuning fork of frequency $256 Hz$ resonates with a length of $25 cm$ and another tuning fork resonates with a length of $16 cm$. Tension of the string remaining constant the frequency of the second tuning fork is .... $Hz$
A pipe’s lower end is immersed in water such that the length of air column from the top open end has a certain length $25\,\, cm$. The speed of sound in air is $350 \,\,m/s$. The air column is found to resonate with a tuning fork of frequency $1750 \,\,Hz$. By what minimum distance should the pipe be raised in order to make the air column resonate again with the same tuning fork ... $cm$ ?
A wire of variable mass per unit length $\mu = \mu _0x$ , is hanging from the ceiling as shown in figure. The length of wire is $l_0$ . A small transverse disturbance is produced at its lower end. Find the time after which the disturbance will reach to the other ends
A tuning fork gives $4$ beats with $50\, cm$ length of a sonometer wire if the length of the wire is shortened by $1\, cm$. the no. of beats still the same. The frequency of the fork is -............. $\mathrm{Hz}$
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 .... $Hz$ ?