For a prism, when the light undergoes minimum deviation, the relationship between the angle of incidence (i) and the angle of emergence (i′) is:
A
i=i′
B
i>i′
C
i<i′
D
i=0
Step-by-Step Solution
Prism Deviation: When a ray of light passes through a prism, the angle of deviation δ depends on the angle of incidence i.
Condition for Minimum Deviation: As the angle of incidence increases, the angle of deviation first decreases, reaches a minimum value (called the angle of minimum deviation, denoted by δm), and then increases.
Symmetry at Minimum Deviation: At the specific position of minimum deviation (δ=δm), the light ray passes symmetrically through the prism.
Conclusion: Because of this symmetrical passage, the angle of incidence becomes exactly equal to the angle of emergence (i=i′ or i=e). Additionally, the angles of refraction at the two faces are equal (r1=r2), and the refracted ray inside the prism is parallel to its base.
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