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Q.

Two plane mirrors at an angle such that a ray incident on a mirror undergoes a total deviation of 240° after two reflections.

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a

the angle between the mirror is 60°

b

the no. of images will be 6 if an object is kept unsymmetrically between the mirrors

c

a ray will retrace its path after 2 successive reflections, if the angle of incidence on one mirror is 60°

d

the number of images formed by this system will be 5, if an object is placed symmetrically between the mirrors

answer is A, B, C, D.

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Detailed Solution

(A) Total deviation due to two reflection.

d=3602θ

240=3602θ

θ=60°

(B) 360θ=6 This is even. As the object is placed symmetrically

between the mirrorsN=360θ1=5

(C)If the object is placed un symmetricallyN=360θ=36060=6

(D) When a ray incidents on M1at60°  it falls onM2  normally as

shown in figure.

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