B M Sharma Solutions for Chapter: Superposition and Standing Waves, Exercise 2: CONCEPT APPLICATION EXERCISE

Two sound waves travelling in the same direction are superposed. Their frequencies are $300$ and $302 \mathrm{Hz}$ and their amplitudes are $0.2$ and $0.3 \mathrm{mm}$, respectively

What is the number of beats per second?

Two sound waves travelling in the same direction are superposed. Their frequencies are $300$ and $302 \mathrm{Hz}$ and their amplitudes are $0.2$ and $0.3 \mathrm{mm}$, respectively

What are the maximum and minimum values of resultant amplitude during the formation of beats?

Two sound waves travelling in the same direction are superposed. Their frequencies are $300$ and $302 \mathrm{Hz}$ and their amplitudes are $0.2$ and $0.3 \mathrm{mm}$, respectively

Calculate the ratio of maximum and minimum intensities of the resultant sound.

Calculate the speed of sound in a gas in which two waves of wavelengths, $50 \mathrm{cm}$ and $50.5 \mathrm{cm}$ produce $6$ beats per second. 

Two tuning forks $A$ and $B$ produce $4$ beats per second when sounded together. $A$ resonates to $32.4 \mathrm{cm}$ of stretched wire and $B$ is in resonance with $32 \mathrm{cm}$ of the same wire. Determine the frequencies of the two tuning forks.

A tuning fork $A$ is in resonance with an air column $32 \mathrm{cm}$ long and closed at one end. When the length of this column is increased by $1 \mathrm{cm}$, it is in resonance with another fork $B.$ When $A$ and $B$ are sounded together, they produce $40$ beats in $5 \mathrm{s}.$ Find their frequencies.

Two sonometer wires of the same material and cross-section are of lengths $50 \mathrm{cm}$ and $60 \mathrm{cm}$ and are stretched by tensions of $4.5 \mathrm{kg}$ and $5.12 \mathrm{kg},$ respectively. If the number of beats heard (when the two wires are vibrating) be $2$ per second, find the mass per unit length of the wires. Take $g=10 \mathrm{m} {\mathrm{s}}^{-2}.$

A wire is in unison with a tuning fork when stretched by the weight of density, $9000 \mathrm{kg} {\mathrm{m}}^{-3}$ in a sonometer experiment. When the weight is immersed in water, the same wire produces $5$, beats per second with the same fork. Find the frequency of the fork.