In an experiment with sonometer a tuning fork of frequency 256 Hz resonates with a length of 25 cm a

English

Gujarati

Hindi

14.Waves and Sound

medium

In an experiment with sonometer a tuning fork of frequency $256 Hz$ resonates with a length of $25 cm$ and another tuning fork resonates with a length of $16 cm$. Tension of the string remaining constant the frequency of the second tuning fork is .... $Hz$

A

$163.84$

B

$400$

C

$320$

D

$204.8$

Solution

(b) In case of sonometer frequency is given by

$n = \frac{p}{{2l}}\sqrt {\frac{T}{m}} $

==> $\frac{{{n_2}}}{{{n_1}}} = \frac{{{l_1}}}{{{l_2}}} \Rightarrow {n_2} = \frac{{25}}{{16}} \times 256 = 400\,\,\,Hz$

Standard 11

Physics

Share

Similar Questions

If you set up the seventh harmonic on a string fixed at both ends, how many nodes and antinodes are set up in it

medium

The frequency of transverse vibrations in a stretched string is $200 Hz$. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be …. $Hz$

medium

The length of a sonometer wire is $0.75\, m$ and density $9 \times 10^3\, kg/m^3$. It can bear a stress of $8.1 \times 10^8\, N/m^2$ without exceeding the elastic limit. What is the fundamental frequency that can be produced in the wire …. $Hz$ ?

medium

A sine wave of wavelength $\lambda $ is travelling in a medium. The minimum distance between the two particles, always having same speed, is

easy

The length of a sonometer wire tuned to a frequency of $250 Hz$ is $0.60$ metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made $0.40$ metre is …. $Hz$

easy