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

$A$ plane is parallel to two lines whose direction ratios are $(1, 0, -1)$ and $(-1, 1, 0)$ and it contains the point $(1, 1, 1)$. If it cuts the coordinate axes at $A$,$B$,and $C$,then the volume of the tetrahedron $OABC$ is (in cubic units):

The current $i$ in the circuit will be:

Two lithium nuclei in a lithium vapour at room temperature do not combine to form a carbon nucleus because

If $\Delta$ is the area of the triangle formed by the positive $x$-axis and the normal and tangent to the circle $x^2+y^2=4$ at $(1, \sqrt{3})$,then $\Delta$ is equal to

Energy per unit volume for a capacitor having area $A$ and separation $d$ kept at potential difference $V$ is given by