The average density of the earth is [g is acceleration due to gravity]

Two bar magnets '$$\mathrm{P}$$' and '$$\mathrm{Q}$$' are kept in uniform magnetic field '$$\mathrm{B}$$' with magnetic moments '$$\mathrm{M_P}$$' and '$$\mathrm{M_Q}$$' respectively. Magnet 'P' is oscillating with frequency twice that of magnet 'Q'. If the moment of inertia of the magnet 'P' is twice that of magnet 'Q' then

Which one of the following is NOT a correct expression for an ideal gas?

[$$\mathrm{C_p}=$$ Molar specific heat of a gas at constant pressure,

$$\mathrm{C_v}=$$ Molar specific heat of a gas at constant volume,

$$\mathrm{Y}=$$ Ratio of two specific heats of a gas,

$$\mathrm{R}=$$ Universal gas constant]

The molecular masses of helium and oxygen are 4 and 32 respectively. The ratio of r.m.s. speed of helium at 327$$^\circ$$ to r.m.s. speed of oxygen at 27$$^\circ$$ will be