Figure below shows two paths that may be taken by a gas to go from a state A to a state C.

The ratio of the specific heats C_p/C_v =λ in terms of degrees of freedom (n) is given by :

A resitance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes 'Z', the power drawn will be :

Two spherical bodies of mass M and 5 M and radiiR and 2 R are released in free space with initialseparation between their centres equal to 12 R. If they attract each other due to gravitational forceonly, then the distance covered by the smaller body before collision is :

Kepler's third law states that square of period ofrevolution (T) of a planet around the sun, is proportional to third power of average distance r between sun and planet
i.e. T2 = Kr³ here K is constant. If the masses of sun and planet are M and m respectively then as per Newton's law of gravitation force of attraction between them is
F = GMm/r², here G is gravitational constant. The relation between G and K is described as :

A particle is executing SHM along a straight line.Its velocities at distances x1 and x2 from the meanposition are V1 and V2, respectively. Its time period is :-