A ring of radius 0.1m is made out of thin metallic wire of area of cross section `10^(-6)m^(2)`. The ring has a uniform charge of `pi` coulombs. Find the change in the radius of the rig when a charge of `10^(-8)C` is placed at the center of the ring. Young's modulus of the metal is `2xx10^(11)Nm^(-2)`.

A light rod AC of length 2.00 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 10^(-3) m^(2) and the other is of brass of cross-section 2xx10^(-3) m^(2) . The position of point D from end A along the rod at which a weight may be hung to produce equal stress in both the wires is [Young's modulus of steel is 2xx10^(11) Nm^(2) and for brass is 1xx10^(11) Nm^(-2) ]

A wire increases by 10^(-3) of its length when a stress of 1xx10^(8)Nm^(-2) is applied to it. What is the Young's modulus of the material of the wire?

Young's modulus of a metal is 21xx10^(10)N//m^(2) . Express it in "dyne/cm"^(2) .

A ring of charge with radius 0.5m has 0.002 pi m gap. If the ribg carries a charge of +1 C the electric field at the center is

A wire of area of cross-section 10^(-6) m^(2) is increased in length by 0.1 %. The tension produced is 1000 N. The Young's modulus of wire is

If a uniform brass wire of length 5 m and radius 10^(-3) m is extended by 10^(-3) m, then the energy stored in the wire will be (Young's modulus for brass =10xx10^(10)N//m^(2) )

A semicircular ring of radius 0.5 m is uniformly charged with a total charge of 1.5 xx 10^(-9) coul. The electric potential at the centre of this ring is :

A body of mass 3.14 kg is suspended from one end of a non uniform wire of length 10m, such that the radius of the wire is changing uniformly from 9.8xx10^(-4) m at one end to 5xx10^(-4) m at the other end. Find the change in length of the wire in mm. Young's modulus of the material of the wire is 2xx10^(11)N//m^(2) (mass of wire is negligible)

The area of cross-section of a railway track is 0.01 m^2 . The temperature variation is 10^@C . Coefficient of linear expansion of material of track is 10^(-5)//^@C . The energy stored per meter in the track is ______ J/m. (Young's modulus of material of track is 10^(11) Nm^(-2) )

A wire of area of cross section 1xx10^(-6)m^(2) and length 2 m is stretched through 0.1 xx 10^(-3)m . If the Young's modulus of a wire is 2xx10^(11)N//m^(2) , then the work done to stretch the wire will be