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(B) For an equilateral prism,the prism angle $A = 60^o$.Given that the ray strikes grazingly at one face,the angle of incidence $i = 90^o$.According t

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$120$

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(B) For an equilateral prism,the prism angle $A = 60^o$.Given that the ray strikes grazingly at one face,the angle of incidence $i = 90^o$.According to Snell's law at the first surface: $1 \cdot \sin(90^o) = n \cdot \sin(r_1)$,where $n = 2$.$1 = 2 \cdot \sin(r_1) \implies \sin(r_1) = 0.5 \implies r_1 = 30^o$.Since $A = r_1 + r_2$,we have $60^o = 30^o + r_2$,which gives $r_2 = 30^o$.For the second surface,the angle of emergence $e$ is given by $n \cdot \sin(r_2) = 1 \cdot \sin(e)$.$2 \cdot \sin(30^o) = \sin(e) \implies 2 \cdot 0.5 = \sin(e) \implies \sin(e) = 1 \implies e = 90^o$.The angle of deviation $\delta$ is given by $\delta = i + e - A$.$\delta = 90^o + 90^o - 60^o = 120^o$.

On an equilateral prism,it is observed that a ray strikes grazingly at one face and if the refractive index of the prism is $2$,then the angle of deviation is $........^o$.

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