Initially a gas of diatomic molecules is contained in a cylinder of volume V₁ at a pressure P₁ and temperature 250 K. Assuming that 25% of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature 2000 K, when contained in a volume 2V₁, is given by P₂. The ratio P₂/P₁ is

An ideal engine whose efficiency is 40%, receives heat at 500 K. If required efficiency is 50%, then intake temperature for the same exhaust temperature is

Choose the correct statement.

Two waves of wavelength 50 cm and 51 cm produced 12 beats per second. The velocity of sound is

A gas undergoes a cyclic process ABCA as shown. Find the work done by the gas for

8 moles of oxygen and 4 moles of nitrogen are at same temperature T and are mixed. The total internal energy is