Home
Class 11
PHYSICS
The density of a wire used in the experi...

The density of a wire used in the experiment is `6.9 xx 10^(3) kg//m^(3)`. If a stress of `2.5 xx 10^(8) N//m^(2)` is given to the wire, determine the speed of transverse wave in the wire.

Text Solution

Verified by Experts

Given, `rho = 6.9 xx 10^(3) kg//m^(3)`
Stress `= 2.5 xx 10^(8) N//m^(2)`
If A is the area of cross section of the wire, then tension in the wire
T = Stress `xx` area `= (2.5 xx 10^(8) xx A)N`
Mass per unit length is
`m = A xx 1 xx rho = A xx 6.9 xx 10^(3) kg//m^(3)`
`therefore` Speed of transverse wave.
`upsilon = sqrt((T)/(m)) = sqrt((2.5 xx 10^(8) xx A)/(A xx 6.9 xx 10^(3)))`
= 190.3 m/s
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MODERN PUBLICATION|Exercise PROBLEM|9 Videos

  • WAVES

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS|38 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

Similar Questions

Explore conceptually related problems

In a sonometer experiment, the density of material of the wire used in 7.5xx10^(3)kg//m^(3) . If the stress of the wire is 3.0xx10^(8)N//m^(2) , find out the speed of transvers waves in the wire.

The density of the material of a wire used in sonometer is 7.5 xx 10^(3) kg//m^(3) If these stress on the wire is 3.0 xx 10^(8)N//m^(3) the speed of transverse wave in the wire will be -

The density of the material of a wire used in sonometer is 75xx10^(-2) kg //m^(3) . If the stress on the wire is 3.0xx10^(4) N//m^(2) , the speed of transverse wave in the wire will be

A steel wire 0.72 m long has a mass of 5.0 xx 10^(-3) kg . If the wire is under a tension of 60 N, what is the speed of transverse waves on the wire ?

The length of a sonometer wire is 0.75 m and density 9xx 10^(3) Kg//m^(3) . It can bear a stress of 8.1 xx 10^(8) N//m^(2) without exceeding the elastic limit . The fundamental that can be produced in the wire , is

A 10 m long steel wire has mass 5 g. If the wire is under a tension of 80 N, the speed of transverse waves on the wire is

A sonometer wire has a length of 0.75 m and density of the material of the wire is 10^(4) kg//m^(3) . If the wire can bear a stress of 7.5 xx 10^(8) N//m^(2) without exceeding the elastic limit, what fundamental frequency can be produced in the wire ?

The length of a sonometer wire is 1.25m and density 8xx10^(3)kg//m^(3) . It can bear a stress of 3.2xx10^(8)N//m^(2) without exceeding the elastic limit. The fundamental frequency that can be produced in the wire, is :-

A copper wire is held at the two ends by rigid supports . At 50^(@)C the wire is just taut , with negligible tension . If Y=1.2 xx 10^(11) N//m^(2) , alpha = 1.6 xx 10^(-5)//""^(@)C and rho = 9.2 xx 10^(3) kg//m^(3) , then the speed of transverse waves in this wire at 30^(@)C is

The length of a sonometer wire is 0.75 m and density is 9 xx 10^3 kg/ m^3 . It can bear a stress of 8.1 xx 10^8 N/ m^2 without exceeding the elastic limit. Then the fundamental frequency that can be produced in the wire is