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 ?

A metal ball of mass 0.1 kg is heated upto 500^oC and dropped into a vessel of heat capacity 800 JK^–1 and containing 0.5 kg water. The initial temperature of water and vessel is 30^oC. What is the approximate percentage increment in the temperature of the water? [Specific Heat Capacities of water and metal are, respectively, 4200 Jkg^–1 and 400 Jkg^–1 K^–1

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 :

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