A steel sphere is to be passed through a circular brass ring.  At 20^o C the outer diameter of sphere is 25 cm and the inner diameter of the ring is 24.9 cm if both are heated together, then temperature at which the sphere will just pass through the ring will be :
(Take coefficient of linear expansion of steel= and that of brass = )

A cylinder contains 10 kg of gas at a pressure of 10⁷ N/m² .  The quantity taken out of the cylinder if the final pressure is
.  (temperature of gas is constant) is

The coefficient of linear expansion of a crystal in one direction is  and that in every direction perpendicular to it is .  The coefficient of cubical expansion is :

The figure below shows the plot of versus P for oxygen gas at two different temperatures.


Read the following statements concerning the above curves :
(i) The dotted line corresponds to the 'ideal gas' behaviour.
(ii) T₁ > T₂
(iii) The value of at the point where the curves meet on the y-axis is the same for all gases.
Which of the above statement is true ?