(a)
Mol wt. ratio of A and B =1:4
$\therefore$ Mole ratio of A and B, if equal weight of A and B are taken = 4:1
$\therefore$ Partial pressure of B = $\frac{1}{(1 + 4)} \times p$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \frac{p}{5}$