A thin rod of negligible mass and a cross-section of `2 xx 10^(-6) m^(2)` suspended vertically from one end, has a length of `0.5 m` at `200^(@)C`. The rod is cooled at `0^(@)C`, but prevented from contracting by attaching a mass at the lower end. The value of this mass is : (Young's modulus `=10^(11) N//m^(2)`, Coefficient of linear expansion `10^(-5) K^(-1) and g = 10 m//s^(2)`):

An thin rod of negligible mass and area of cross - section 4xx10^(-6)m^(2) , suspended vertically from one end, has a length of 0.5 m at 100^(@)C . The rod is cooled to 0^(@)C but prevented from contracting by attaching a mass at the lower end. The value of this mass is (Given, coefficient of linear expansion is 10^(-5^(@))C^(-1) , Young's modulus is Y=10^(11)Nm^(-2) and g=10ms^(-2))

A thin rod of negligible mass and area of cross-section 4 xx 10^(-6)m^(2) , suspended vertically from one end has a length of 0.5 m at 10^(@)C . The rod is colled art 0^(@)C , but prevented from contracting by attaching a mass at the loqedr end. Find (i) This mass and (ii) The energy stored in the rod. Given for this rod, Y = 10^(11)Nm^(-2) , coefficient of linear expansion = 10^(-5)K^(-1) and g = 10ms^(-2) .

A thin rod of negligible mass and area of cross section S is suspended vertically from one end. Length of the rod is L_(0) at T^(@)C . A mass m is attached to the lower end of the rod so that when temperature of the rod is reduced to 0^(@)C its length remains L_(0) Y is the Young’s modulus of the rod and alpha is coefficient of linear expansion of rod. Value of m is :

A uniform steel wire of cross-sectional area 0.20mm^(2) is held fixed by clamping its two ends. If wire is cooled from 100^(@)C to 0^(@)C , find (a) temperature strain (b) temperature stress (c) extra force exerted by each clamp on the wire. Young's modulus of steel =2xx10^(11)N//m^(2) , coefficient of linear expansion of steel =1.2xx10^(-5)//^(@)C .

Figure shows a steel rod of cross sectional ara 2 xx 10^(-6)m^(2) is fixed between two vertical walls. Initially at 20^(@)C there is no force between the ends of the rod and the walls. Find the force which the rod will exert on walls at 100^(@) C . Given that the coefficient of linear expansion of steel is 1.2 xx 10^(-5).^(@)C^(-1) and Young's modulus is 2xx10^(11)N//m^(2)

A wire suspended vertically from one of its ends is stretched by attaching a weight of 20 N to its lower end. If its length changes by 1% and if the Young's modulus of the material of the wire is 2 xx 10^(11) N//m^(2) , then the area of cross section of the wire is

A wire of length 1 m and area of cross section 2xx10^(-6)m^(2) is suspended from the top of a roof at one end and a load of 20 N is applied at the other end. If the length of the wire is increased by 0.5xx10^(-4)m , calculate its Young’s modulus (in 10^(11)N//m^(2)) .

Calculate the force required to prevent a steel wire of 1 mm^2 cross-section from contracting when it cools from 60^@C to 15^@C , if Young's modulus for steel is 2xx10^11 Nm^-2 and its coefficient of linear expansion is 0.000011^@C^-1.

An iron rod of length 2m and cross section area of 50 mm^(2) , stretched by 0.5 mm, when a mass 250 kg is hung from its lower end. Young's modulus of the iron rod is