Home
Class 11
PHYSICS
A wire having a linear density 0.1 kg//m...

A wire having a linear density `0.1 kg//m` is kept under a tension of 490N. It is observed that it resonates at a frequency of 400 Hz. The next higher frequency is 450 Hz. Find the length of the wire.

A

0.4 m

B

0.7m

C

0.6m

D

0.49m

Text Solution

Verified by Experts

The correct Answer is:
B
Fundamental frequency,
`f_0 = 450 - 400`
`= 50 Hz`
`f_0 = v/(2l) = sqrt(T//mu)/(2l)`
`:. l= sqrt(T//mu)/(2f_0) = sqrt(490//0.1)/ (2 xx 50)`
= 0.7 m .
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Level 2 More Than One Correct|6 Videos

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise More than One correct Options|1 Videos

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Subjective Questions|6 Videos

  • SOUND WAVES

    DC PANDEY|Exercise Exercise 19.7|4 Videos

  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

Similar Questions

Explore conceptually related problems

A wire having a linear density of 0.05 g//cm is stretched between two rigid supports with a tension of 450N. It is observed that the wire resonates at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 490 Hz. Find the length of the wire.

A wire having a linear mass density 5.0xx10^(3) kg//m is stretched between two rigid supports with tension of 450 N. The wire resonates at a frequency of 420 Hz . The next higher frequency at which the same wire resonates is 480 N . The length of the wire is

A wire having a linear mass density 10^(-3) kg//m is stretched between two rigid supports with a tension of 90 N . This wire resontes at a frequency of 350 Hz . The next higher frequency at which the same wire resonates is 420 Hz . Find the length of the wire.

A wire having a linear mass density 5.0 xx 10^(-3) kg/m is stretched between two rigid supports with a tension of 450 N. The wire resonates at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 480 Hz. Find the length of the wire.

A wire having a linear mass density 9.0 xx 10^(-4) kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550 Hz. The length of the wire is______m.

A wire having a linear mass density 5xx10^(-3) kg/m is stretched between two rigid supports with a tension of 450 N. The wire resibate at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 490 Hz. Find the length of wire -

Awire having a linear mass density of 5.0xx10^(-3)kgm^(-1) is stretched between two rigid supports with a tension of 45N. The wire resonates at a frequency of 420Hz. The next higher frequency at which the wire resonates is 490Hz. Find the length of the wire.

A stretched sonometer wire resonates at a frequency of 350 Hz and at the next higher frequency of 420 Hz. The fundamental frequency of this wire is

A wire of linear mass density 9x10^(-3) kg/m is stretched between two rigid supports under a tension of 360 N. The wire resonates at frequency 210 Hz. The next higher frequency at which the same wire resonates is 280 Hz. The number of loops produced in first case will be-

A stretched sonometer wire resonates at a frequency of 350 Hz and at the next higher frequency of 420 Hz . The fundamental frequency of this wire is :