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 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 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 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) ):

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))