If the internal energy of an ideal gas decreases by the same amount as the work done by the system,the process is

Which of the following forms a stable $+4$ oxidation state?

If $\vec{a}, \vec{b}$ and $\vec{c}$ are vectors with magnitudes $2, 3$ and $4$ respectively,then the best upper bound of $|\vec{a}-\vec{b}|^2+|\vec{b}-\vec{c}|^2+|\vec{c}-\vec{a}|^2$ among the given values is

$A$ solution of sodium sulphate contains $92 \ g$ of $Na^{+}$ ions per kilogram of water. The molality of $Na^{+}$ ions in that solution in $mol \ kg^{-1}$ is:

In the following circuit,$PN$-junction diodes $D_1, D_2,$ and $D_3$ are ideal. For the following potentials of $A$ and $B$:
$(i) -10 \ V, -5 \ V$
$(ii) -5 \ V, -10 \ V$
$(iii) -4 \ V, -12 \ V$
The correct increasing order of resistance between $A$ and $B$ will be:

If $y$ is a function of $x$ and $\log(x+y) = 2xy$,then the value of $y'(0)$ is