d
(d) For surface \( P,\)

\(\frac{1}{{{v_1}}} = \frac{1}{f} - \frac{1}{u} = 1 - \frac{1}{3} = \frac{2}{3}\)==> \({v_1} = \frac{3}{2}m\)

For surface \( Q,\)

\(\frac{1}{{{v_2}}} = \frac{1}{f} - \frac{1}{u} = 1 - \frac{1}{5} = \frac{4}{5}\)==> \({v_2} = \frac{5}{4}m\)

\(\therefore\)  \({v_1} - {v_2} = 0.25m\)

Magnification of \(P = \frac{{{v_1}}}{u} = \frac{{3/2}}{3} = \frac{1}{2}\)  

\(\Rightarrow\) Height of \(P = \frac{1}{2} \times 2 = 1m\)

Magnification of \(Q = \frac{{{v_2}}}{u} = \frac{{5/4}}{5} = \frac{1}{4}\)  

\(\Rightarrow\) Height of \(Q = \frac{1}{4} \times 2 = 0.5m\)