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))

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 sectional 4 xx 10^(-6)m^(2) , suspended vertically from one end has a length of 0.5 at 100^(@)C the rod is cooled at 0^(@)C , but prevented from contracting by attaching a mass at lower end. Find (i) mass (ii) the energy stored in rod. Given for rod, y = 10^(11) Nm^(-2) , coefficient of linear expansion = 10^(-5) k^(-1) & g = 10 ms^(-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 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 :

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)

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100^(@)C is (For steel, Young's modulus is 2 times 10^(11)N*m^(-2) and coefficient of linear expansion is 1.1 times 10^(-5)K^(-1))