Two rods A and B of identical dimensions are at temperature 30^°C. If A is heated upto 180^oC and B upto T^oC, then the new lengths are the same. If the ratio of the coefficients of linear expansion of A and B is 4 : 3, then the value of T is

When 100 g of a liquid A at 100^oC is added to 50 g of a liquid B at temperature 75^oC, the temperature of the mixture becomes 90^oC. The temperature of the mixture, if 100 g of liquid A at 100^oC is added to 50 g of liquid B at 50^oC, will be :

A simple pendulum of length 1 m is oscillating with an angular frequency 10 rad/s. The support of the pendulum starts oscillating up and down with a small angular frequency of 1 rad/s and an amplitude of 10^–2 m. The relative change in the angular frequency of the pendulum is best given by :

An electric field of 1000 V/m is applied to an electric dipole at angle of 45^o. The value of electric dipole moment is 10^–29 C.m. What is the potential energy of the electric dipole?