An iron rod lengths 100 cm and `10cm^2` cross -section is heated from `0^@` to `100^@`C . If it is not allowed to bend or expand, what force is developed in it ? ( Take `Y=10^12` dyn e`//cm^2,alpha=10^-5//^@C`

An aluminium sphere of diameter 20 cm is heated from 0^(@)C " to " 100^(@)C . What will be its change in volume? Coefficient of linear expansion of aluminium =23 times 10^(-6@)C^(-1) .

A metallic wire of length and diameter 300 cm and 0.1 cm. respectively is stretched by a load of 10 kg. Young's modulus and Poisson's ratio for the material of the wire are 20 times 10^11 dyn.cm^-2 and 0.26 respectively Calculate the decrease in diameter of the wire.

The cross-sectional area of a steel rod of length 25 cm is 0.8 cm^(2) . What tension will be required to incresase the length of the rod, equal to the increase due to its rise in temeprature by 10^(@)C ? For steel, Y=2 times 10^(12)dyn*cm^(-2) " and " alpha=10^(-5@)C^(-1) .

A brass rod has a length of 150 cm at 40^(@)C . What will be its length at 100^(@)C ? The coefficient of linear expansion of brass is 18 times 10^(-6@)C^(-1) .

A straight solenoid of length 50 cm and across sectional area 1cm^(2) has a self-inductance of 10^(-5)H . If a current of 100 mA passes through it, what will be the magnetic field along its axis?

What will be the increase in length of a wire of length 10 m undergoing a strain of 0.001%? If the cross sectional area of the wire 2mm^2 and the load applied at its end is 1 kg, then calculate the stress developed in dyn.cm^-2 .

The area of cross section of a steel wire (Y=2.0xx10^11 N//m^2) is 0.1 cm^2 . The force required to double its length will be

At 27^(@)C, 2 mol of an ideal gas is expanded from a volume of 10 L to 100 L. In this case what will be the maximum value of work done ?