Frequency of transverse vibrations in a stretched string is 200 Hz . If tension is increased four ti

English

Gujarati

Hindi

14.Waves and Sound

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 .... $Hz$

A

$25$

B

$200$

C

$400 $

D

$1600$

Solution

(d) $n = \frac{1}{{2l}}\sqrt {\frac{T}{m}} $

==>$\frac{{{n_1}}}{{{n_2}}} = \frac{{{l_2}}}{{{l_1}}}\sqrt {\frac{{{T_1}}}{{{T_2}}}} $$ = \frac{1}{4}\sqrt {\frac{1}{4}} = \frac{1}{8}$

==> ${n_2} = 8{n_1} = 8 \times 200 = 1600Hz$

Standard 11

Physics

Share

Similar Questions

If vibrations of a string are to be increased by a factor of two, then tension in the string must be made

easy

(AIIMS-1999)

The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ……….. $cps$

medium

A tuning fork vibrating with a sonometer having $20 cm$ wire produces $5$ beats per second. The beat frequency does not change if the length of the wire is changed to $21 cm.$ the frequency of the tuning fork (in Hertz) must be

medium

A hollow pipe of length $0.8 \mathrm{~m}$ is closed at one end. At its open end a $0.5 \mathrm{~m}$ long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is $50 \mathrm{~N}$ and the speed of sound is $320 \mathrm{~ms}^{-1}$, the mass of the string is

normal

(IIT-2010)

A string is rigidly tied at two ends and its equation of vibration is given by $y = \cos 2\pi \,t\sin \sin \pi x.$ Then minimum length of string is …. $m$

medium