SATHEE: Optics Question 891

Optics Question 891

Question: When the diffraction pattern from a certain slit illuminated with laser light $(λ = 6330 A^{o})$ is projected on a screen 150 cm from the slit, the second minima on each side are separated by 8 cm. This tells us that:

Options:

A) the slit is approximately 0.005 cm wide

B) the slit is approximately 0.05 cm wide

C) $a / λ$ , is approximately 7.5 (a is the slit width)

D) $a / λ$ is approximately 750

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $\sin θ_{2} = \frac{2 λ}{d}$

or $θ_{2} = \sin^{- 1} (\frac{2 λ}{d})$

Given $y = D (2 θ_{2}) = 8 \times 10^{- 2}$

or $1.5 \times 2 \times \sin^{- 1} (\frac{2 λ}{d}) = 8 \times 10^{- 2}$

$\Rightarrow d ≃ 0.005 c m$

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Optics Question 891

Question: When the diffraction pattern from a certain slit illuminated with laser light (λ=6330Ao) is projected on a screen 150 cm from the slit, the second minima on each side are separated by 8 cm. This tells us that:

Options:

Answer:

Solution:

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Question: When the diffraction pattern from a certain slit illuminated with laser light $(λ = 6330 A^{o})$ is projected on a screen 150 cm from the slit, the second minima on each side are separated by 8 cm. This tells us that: