A body of mass `3.14 kg` is suspended from one end of a wire of length `10 m`. The radius of cross-section of the wire is changing uniformly from `5xx10^(-4) m` at the top (i.e. point of suspension) to `9.8xx10^(-4) m` at the bottom . Young's modulus of elasticity is `2xx10^(11) N//m^(2)`. The change in length of the wire 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)

A body of mass 6.28 kg is suspended from one end of a wire of length 10 m. The radius of the wire is changing uniformly from 19.6xx10^-4m at one end to 10 xx 10^-4 m at the order end. Find the change in the length of the wire. [Y=2xx10^11N//m^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

An iron wire of length 4 m and diameter 2 mm is loaded with a weight of 8 kg. if the Young's modulus Y for iron is 2xx10^(11)N//m^(2) then the increase in the length of the wire is

A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

A steel wire of length 3.0m is stretched through 3.0 mm. the cross-sectional area of the wire is 5.0mm^(2) . Calculate the elastic potential energy stroed in the wire in the stretched condition. Young's modulus of steel is 2.0 xx 10^(11) Nm^(-2) .

A copper wire of length 4.0 mm and area of cross-section 1.2 cm^(2) is stretched with a force of 4.8 xx 10^(3) N. If Young's modulus for copper is 1.2xx10^(11) N//m^(2) , the increases in the length of the wire will be

A wire of density 9xx10^3 kg//m^3 is stretched between two clamps 1 m apart and is stretched to an extension of 4.9xx10^-4 metre.Young's modulus of material is 9xx10^10 N//m^2 .Then

A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a maximum strain of 10^(-3) .Young's modulus of steel is 2xx10^(11) Nm^(-2) .The maximum mass this wire can hold is