A tunning fork produces 5, beats/sec when length of a sonometer wire is either 1, m or 1.05, m . Cal

English

Gujarati

Hindi

14.Waves and Sound

medium

A tunning fork produces $5\, beats/sec$ when the length of a sonometer wire is either $1\, m$ or $1.05\, m$. Calculate the frequency of tunning fork .... $Hz$

A

$102.5$

B

$125$

C

$100$

D

$205$

Solution

Frequency of tunning fork $=\mathrm{N}$

Sonometer wire is either $\mathrm{N}+\mathrm{S}$ or $\mathrm{N}-\mathrm{S}$

$\mathrm{n} \propto \frac{1}{\ell} \quad \frac{\mathrm{n}_{1}}{\mathrm{n}_{2}}=\frac{\ell_{2}}{\ell_{1}}$

$\frac{N+5}{N-5}=\frac{1.05}{1}$

$\mathrm{N}=205 \mathrm{\,Hz}$

Standard 11

Physics

Share

Similar Questions

A second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The point where the string has to be plucked and touched are

medium

The length of a son meter wire $AB$ is $110\; cm$. Where should the two bridges be placed from $A$ to divide the wire in $3$ segments whose fundamental frequencies are in the ratio of $1:2:3$?

medium

(AIPMT-1995)

A string of length $1\,\,m$ and linear mass density $0.01\,\,kgm^{-1}$ is stretched to a tension of $100\,\,N.$ When both ends of the string are fixed, the three lowest frequencies for standing wave are $f_1, f_2$ and $f_3$. When only one end of the string is fixed, the three lowest frequencies for standing wave are $n_1, n_2$ and $n_3$. Then

normal

A certain string will resonant to several frequencies, the lowest of which is $200 \,cps$. What are the next three higher frequencies to which it resonants?

easy

A tuning fork of frequency $280\,\, Hz$ produces $10$ beats per sec when sounded with a vibrating sonometer string. When the tension in the string increases slightly, it produces $11$ beats per sec. The original frequency of the vibrating sonometer string is … $Hz$

medium