c
Initially
$P_{i}=76 \mathrm{cm}$ of $\mathrm{Hg}$
$V_{i}=5 A$
Finally
$P_{f}=(76)-(48-x)=(28+x) \mathrm{cm}$ of $\mathrm{Hg}$
$V_{f}=x A$
since, temperature remains constant
$\therefore P_{i} V_{i}=P_{f} V_{f}$
$\Rightarrow 76 \times 5 A=(28+x) \times A$
$\Rightarrow x^{2}+28 x-380=0$
$\Rightarrow(x+38)(x-10)=0$
$\Rightarrow x=10 \mathrm{cm}$ or $x=-38 \mathrm{cm}$
$x=-38$ rejected since $x$ can't $be -ve$
