Two metals P and Q are heated through the same temperature difference. If the ratio of the linear expansivities of P to Q is 2:3 and the ratio of their
length is 3: 4 respectively, the ratio of the increase in lengths of P to Q is

A.

1:2

B.

2:1

C.

8:9

D.

9:8

Correct answer is A

P: \(\frac{\alpha h \theta}{\alpha h \theta}\)

\(\frac{2 \times 3 \times \theta}{3 \times 4 \times \theta}\)

\(\frac{1}{2}\)