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A small angled prism of apex angle A=4^@...

A small angled prism of apex angle `A=4^@` and refractive index `mu=1.5` is placed in front of a vertical plane mirror as shown in figure. If the mirror is rotated through an angle `theta,` then the light ray becomes horizontal either after the mirror or after second time passing from the prism in opposite direction. The value `theta` is

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