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Q.

A slit of width a is illuminated by white light. The first minimum for red light (  λ= 6500 Å) will fall at  θ = 30° when a will be

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a

3250 Å

b

6.5 × 10-4cm

c

1.3 micron

d

2.6 × 10-4 cm

answer is C.

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Detailed Solution

sinθ=λa12=6500×10−10aa=13000×10−10=13×10−7m=1.3μm
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A slit of width a is illuminated by white light. The first minimum for red light (  λ= 6500 Å) will fall at  θ = 30° when a will be