If $R$ is the universal gas constant,the amount of heat needed to raise the temperature of $2 \, mol$ of an ideal monatomic gas from $273 \, K$ to $373 \, K$ when no work is done is: (in $, R$)

$A$ thin prism $P_1$ with angle $4^o$ and made from glass of refractive index $1.54$ is combined with another prism $P_2$ made from glass of refractive index $1.72$ to produce dispersion without deviation. The angle of prism $P_2$ is......$^o$

If $(2,-1,3)$ is the foot of the perpendicular drawn from the origin to the plane, then the equation of the plane is

Heating an aqueous solution of aluminium chloride to dryness will give:

The number of octahedral and tetrahedral holes respectively present in a hexagonal close packed $(hcp)$ crystal of '$X$' atoms are

Identify the incorrect statement among the following.