$(a)\;1:1\qquad(b)\;1:2\qquad(c)\;4:1\qquad(d)\;2:1$

- Density of the gas $= \large\frac{Pressure\; \times Molecular \; mass}{RT}$

$d = \large\frac{PM}{RT}$

$\large\frac{d_A}{d_B} = 2$

$=\large\frac{P_A\times M_A}{P_B\times M_B}$

$=\large\frac{P_A}{P_B}\times \large\frac{1}{2}$

$\therefore \large\frac{P_A}{P_B} = 4$

Hence the ratio is 4:1

Thus answer is (c)

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