Waves and Sound

A progressive wave travelling along the positive $x-$ direction is represented by $y\left(x,t\right)=Asin(kx-\omega\,t+\varphi\,)$ . Its snapshot at $t=0$ is given in the figure. For this wave, the phase $\varphi\,$ is:

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 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 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 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…

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

For a certain organ pipe, the first three resonance frequencies are in the ratio of $1:3:5$ respectively. If the frequency of fifth harmonic is $405\mathrm{Hz}$ and the speed of sound in air is $324ms^{-1}$ the length…

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by $4%$,will be ___ $%$?

When a car is approaching the observer, the frequency of horn is $100\mathrm{Hz}$. After passing the observer, it is $50\mathrm{Hz}$. If the observer moves with the car, the frequency will be $\frac{x}{3}\mathrm{Hz}$…

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is $300m/s,$ the frequency difference between the fundamental and second…

A transverse harmonic wave on a string is given by$y\left(x,t\right)=5\sin\,\left(6t+0.003x\right)$where $x$ and $y$ are in $\mathrm{cm}$ and $t$in $\sec\,$. The wavevelocity is _________ $ms^{-1}$?

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 $\mathrm{a}$ is ________