A brass rod is 2 m long at a certain temperature. Calculate the linear expansion of the rod for a temperature change of 100 K. (Take linear expansivity of brass as 1.8 × 10\(^{-5}\) K\(^{-1}\))

A body of specific heat capacity 450 Jkg\(^{-1}\)K\(^{-1}\) falls to the ground from rest through a vertical height of 20 m. Assuming conservation of energy, calculate the change in temperature of the body striking the ground level. (g = 10 ms\(^{-2}\))

Hot water at temperature of t is added to twice that amount of water at a temperature of 30°C. If the resulting temperature of the mixture is 50°C, calculate t

An air bubble of volume 2 cm\(^3\) is formed 20 m under water. What will be its volume when it rises to just below the surface of the water if the atmospheric pressure is equivalent to a height of 10 m of water?

The pressure of a given mass of gas changes from 200 Nm\(^{-2}\) to 100 Nm\(^{-2}\), while its temperature drops from 127°C to -73°C. Calculate the ratio of the final volume of the gas to its initial volume.