When two tuning forks are sounded together,5 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The frequency of a sonometer wire is given by $f = \frac{1}{2l} \sqrt{\frac{T}{\mu}}$.Since the tension $T$ and mass per unit length $\mu$ are con

Vedclass · Accepted Answer

$480 \ Hz, 485 \ Hz$

Vedclass · Answer

(D) The frequency of a sonometer wire is given by $f = \frac{1}{2l} \sqrt{\frac{T}{\mu}}$.Since the tension $T$ and mass per unit length $\mu$ are constant,$f \propto \frac{1}{l}$.Let $f_1$ and $f_2$ be the frequencies of the two tuning forks corresponding to lengths $l_1 = 0.97 \ m$ and $l_2 = 0.96 \ m$ respectively.Thus,$f_1 = \frac{k}{0.97}$ and $f_2 = \frac{k}{0.96}$,where $k = \frac{1}{2} \sqrt{\frac{T}{\mu}}$.Given the beat frequency is $f_2 - f_1 = 5 \ Hz$.Substituting the values: $\frac{k}{0.96} - \frac{k}{0.97} = 5$.$k \left( \frac{0.97 - 0.96}{0.96 	imes 0.97} ight) = 5$.$k \left( \frac{0.01}{0.9312} ight) = 5 \implies k = 5 	imes 93.12 = 465.6$.Now,$f_1 = \frac{465.6}{0.97} = 480 \ Hz$.And $f_2 = \frac{465.6}{0.96} = 485 \ Hz$.

When two tuning forks are sounded together,$5$ beats per second are heard. One of the forks is in unison with $0.97 \ m$ length of sonometer wire and the other is in unison with $0.96 \ m$ length of the same wire. The frequencies of the two tuning forks are

Similar Questions

Two sound waves of slightly different frequencies propagating in the same direction produce beats due to

For the formation of beats,two sound notes must have:

$A$ sound wave travels with a velocity of $300 \, m \, s^{-1}$ through a gas. $9$ beats are produced in $3 \, s$ when two waves pass through it simultaneously. If one of the waves has a wavelength of $2 \, m$, the wavelength of the other wave is ..... $m$.

Two tuning forks $A$ and $B$ are sounded together and produce $6$ beats per second. The frequency of tuning fork $B$ is $384 \,Hz$. When tuning fork $A$ is loaded with wax,the number of beats per second becomes $4$. What is the frequency of tuning fork $A$ in $Hz$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module