Home Physics Wave Optics JEE (Main) / AIEEE Problems ( Previous Years ) The box of a pin hole camera, of length L, h…
Physics Wave Optics JEE (Main) / AIEEE Problems ( Previous Years ) MCQ (Single Correct)

The box of a pin hole camera, of length L, has hole of radius a. it is assumed that when the hole is illuminated by a parallel beam of light of wavelength λ the spread of the spot (obtained on the opposite wall of the camera) is the sum of its geometrical spread and the spread due to diffraction. The spot would then have its minimum size (say b min ) when :

A
and
B
and
C
and
D
and

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The correct answer is:
B

Sol. b → radius of spot.

b = a +

geometrical spread + spread due to diffraction

= 0

⇒ 1 – = 0 ⇒ a 2 = L λ ⇒ a =

b min. =

b min. =

b min. =

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