Waves and Sound

A granite rod of $60\mathrm{cm}$ length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is $2.7\times\,10^{3}\mathrm{kg}m^{-3}$ and its Young's modulus is…

A tunning fork of frequency $340\mathrm{Hz}$ resonates in the fundamental mode with an air column of length $125\mathrm{cm}$ in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height…

The frequency of echo will be _____ $\mathrm{Hz}$ if the train blowing a whistle of frequency $320\mathrm{Hz}$ is moving with a velocity of $36\mathrm{km}h^{-1}$ towards a hill from which an echo is heard by the train…

Two wires $W_{1}$ and $W_{2}$ have the same radius$r$and respective, densities $\rho\,_{1}$ and $\rho\,_{2}$, such that $\rho\,_{2}=4\rho\,_{1}$ . They are joined together at the point$O$, as shown in the figure. The…

A set of $20$ tuning forks is arranged in a series of increasing frequencies. If each fork gives $4$ beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then…

Two cars are approaching each other at an equal speed of $7.2\mathrm{km}\mathrm{hr}^{-1}.$When they see each other, both blow horns having a frequency of $676\mathrm{Hz}.$The beat frequency heard by each driver will be…

A closed organ pipe of length $L$and an open organ pipe contain gases of densities $\rho\,_{1}$ and $\rho\,_{2}$respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in…

A train blowing a whistle of frequency $320\mathrm{Hz}$ approaches an observer standing on the platform at a speed of $66ms^{-1}$. The frequency observed by the observer will be (given speed of sound$=330ms^{-1}$)…

A source of sound emits sound waves at frequency $f_{0}$ . It is moving towards an observer with fixed speed $v_{s}(v_{s}<\mathrm{v)}$ , where $v$ is the speed of sound in air). If the observer were to move towards the…

A sonometer wire of resonating length $90 \mathrm{~cm}$ has a fundamental frequency of $400 \mathrm{~Hz}$ when kept under some tension. The resonating length of the wire with fundamental frequency of $600 \mathrm{~Hz}$…

The frequency of a car horn encountered a change from $400\mathrm{Hz}$ to $500\mathrm{Hz}$. When the car approaches a vertical wall. If the speed of sound is $330ms^{-1}$. Then the speed of car is ___$\mathrm{km}h^{-1}$?

A bat moving at $10ms^{-1}$ towards a wall sends a sound signal of $8000\text{Hz}$ towards it. On reflection, it hears a sound of frequency $f$. The value of $f$ in $\text{Hz}$ is close to $(\text{speed of…