A direct vision spectroscope has been designed to obtain dispersion without deviation by arranging alternate inverted thin prisms of crown glass of refractive index $$\mu_1=\sqrt2$$ and flint glass of refractive index $$\mu_2=\sqrt3$$ with refracting angle $$\theta_{flint}=3^\circ$$. The refracting angle $$\theta_{crown}$$ of the crown glass prism is

A

$$3.0^\circ$$

B

$$4.5^\circ$$

C

$$5.3^\circ$$

D

$$6.0^\circ$$