A wire of length 2.00 m is stretched to ...

A wire of length 2.00 m is stretched to a tension of 160 N. If the fundamental frequency of vibration is 100 Hz, find its linear mass density.

Text Solution

Verified by Experts

The correct Answer is:

1gm/m

L`=2m, f_0=100Hz, t=160N`
`f_0=1/(2L)sqrt((T/m))`
`rarr 100=(1/4)sqrt((160/m))`
`rarr m=1xx10^-3(kg)/m`
`rarr m=1g/m`
So, the linear mass desity is `1 (gm)/m.`

Topper's Solved these Questions

WAVE MOTION AND WAVES ON A STRING
HC VERMA|Exercise Objective -2|1 Videos
THE FORCES
HC VERMA|Exercise Exercises|12 Videos
WORK AND ENERGY
HC VERMA|Exercise Exercises|64 Videos

Similar Questions

Explore conceptually related problems

A sonometer wire of length 1 m is stretched by a weight of 10 kg. The fundamental frequency of vibration is 100 Hz. Determine the linear density of material of wire.

In law of linear density, the fundamental frequency of vibrating string is

A string of length 0.5m and linear density 10^(-4) kg/m is stretched under a tension of 100 N. If the frequency of the vibration of the string is 4000 Hz, how many loops are formed on the string?

The mass of 1m long steel wire is 20 g. The wire is stretched under a tension of 800N. What are the frequencies of fundamental mode of vibration and next two higher modes ?

A steel wire 0.5 m long has a total mass of 0.02 kg and is stretched with a tension of 800N . The frequency when it vibrates in its fundamental mode is

A steel piano wire 0.5 m long has a total mass of 0.01 kg and is stretched with a tension of 800 N. The frequency, when it vibrates in its fundamental mode, is

A piano wire has a length of 81 cm and a mass of 2.0 g. If its fundamental frequency is to be 394 Hz, it tension must be

The fundamental frequency of vibration of a wire fo certain length is 200 Hz. What will be the fundamental frequency of vibration, if the tension is made double and length of the wire is also doubled ?

A sonometer wire of length 0.7 m is stretch by a weight of 4 kg. what is the linear density of the material of the wire, if its fundamental frequency is 200 Hz?

HC VERMA-WAVE MOTION AND WAVES ON A STRING-Exercises

Two waves, each having a frequency of 100 Hz and a wavelength of 2.0 c...
Text Solution
|
If the speed of a transverse wave on a stretched string of length 1 m ...
Text Solution
|
A wire of length 2.00 m is stretched to a tension of 160 N. If the fun...
Text Solution
|
A steel wire of mass 4.0 g and length 80 cm is fixed at the two ends. ...
Text Solution
|
A piano wire weighing 6.00 g and having a length of 90.0 cm emits a fu...
Text Solution
|
A sonometer wire having a length of 1.50 m between the bridges vibrate...
Text Solution
|
The length of the wire shown in figure between the pulley is 1.5 m and...
Text Solution
|
A one-metre long stretched string having a mass of 40 g is attached to...
Text Solution
|
A wire, fixed at both ends is seen to vibrate at a resonant frequency ...
Text Solution
|
A string, fixed at both ends, vibrates in a resonant mode with a separ...
Text Solution
|
A 660 Hz tuning fork sets up vibration in a string clamped at both end...
Text Solution
|
A particular guitar wire is 30.0 cm long and vibrates at a frequency o...
Text Solution
|
A steel wire fixed at both ends has a fundamental frequency of 200 Hz....
Text Solution
|
Three resonant frequencies of a string are 90, 150 and 210 Hz. (a) Fin...
Text Solution
|
Two wires are kept tight between the same pair of supports. The tensio...
Text Solution
|
A uniform horizontal rod of length 40 cm and mass 1.2 kg is supported ...
Text Solution
|
Figure shows an aluminium wire of length 60 cm joined to a steel wire...
Text Solution
|
A string of length L fixed at both ends vibrates in its fundamental mo...
Text Solution
|
A 2 m-long string fixed at both ends is set into vibrations in its fir...
Text Solution
|
The equation for the vibration of a string, fixed at both ends vibrati...
Text Solution
|