Home
Class 11
PHYSICS
A 4 cm long wire has a strain of 0.024% ...

A 4 cm long wire has a strain of 0.024% under a tensile force. What will be the extension in the wire ?

Text Solution

Verified by Experts

We are given :
Length of wire, L = 4 cm = `4xx10^(-2)` m
We are to calculate, `Delta l`
Using relation : Strain = `(Delta l)/(L)`
Strain = `(Delta l)/(L) = 0.024% = (0.024)/(100)`
`Delta l` (extension) = `(0.024)/(100)xx L=(0.024xx4xx10^(-2))/(100)=24xx4xx10^(-7)=96xx10^(-7) m=9.6 mu m`
Promotional Banner

Similar Questions

Explore conceptually related problems

A current of 5.0 A flows through each of two parallel long wires. The wires are 2.5 cm apart. Calculate the force acitng per unti length of each wire. Use standard value of constant required. What will be the direction of force, if both curents flow in the same direction?

A wire is cut across a flux of 0.2x10(-2) weber in 0.12 seconds. What is the e.m.f. induced in the wire ?

A steel wire of mass mu per unit length with a circular cross section has a radius of 0.1 cm. The wire is of length 10 m when measured lying horizontal, and hangs from a hook on the wall. A mass of 25 kg is hung from the free end of the wire. Assuming the wire to be uniform and lateral strains < < longitudinal strains, find the extension in the length of the wire. The density of steel is 7860 kg m^-3 (Young's modulues Y = 2 xx 10^11 N m^-2)

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

The wires which connect the battery of an automobile to its starting motor carry a current of 300 A (for a short time). What is the force per unit length between the wires if they are 70 cm long and 1.5 cm apart? Is the force attractive or repulsive?

A magnetised steel wire 31.4cm long has a pole strength of 0.2Am. It is bent in the form of a semicircle. Calcualte its magnetic moment.

Consider a long steel bar under a tensile stress due to forces vecF acting at the edge a along the length of the bar (show in the figure) Consider a plane making an angle theta with the length. What are the tensile and shearing stresses on this plane? For what angle is the tensile stress a maximum?

Two straight wires A and B of lenghts 10 m and 12 m carrying currents of 4.0 A and 6.0 A respectivity in opposite directions lie parallel to each other at a distance of 3.0 cm. Estimate the force on a 15cm section of the wire B near its centre.

Consider a long steel bar under a tensile stress due to forces vecF acting at the edge a along the length of the bar (show in the figure) Consider a plane making an angle theta with the length. What are the tensile and shearing stresses on this plane? For what angle is the shearing stress a maximum?