An ideal gas occupies a volume of 2m³ at a pressure of 3 $$ \times $$ 10⁶ Pa. The energy of the gas is :

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

A thermometer graduated according to a linear scale reads a value x₀ when in contact with boiling water, and x₀/3 when in contact with ice. What is the temperature of an object in ^oC, if this thermometer in the contact with the object reads x₀/2 ?

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 :