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BITSAT 2023Paper 2
Exam
BITSAT
Year
2023
Paper
Paper 2
Subject
Physics
Chapter
Wave Optics

BITSAT 2023 · Paper 2 · Physics · Wave Optics

A single slit of a width a is illuminated by a monochromatic light...

A single slit of a width aa is illuminated by a monochromatic light of wavelength 600nm600 \mathrm{ nm}. The value of ' aa ' for which first minimum appears at θ=30∘\theta=30^{{}^{\circ}} on the screen will be :

Options

  1. A0.6μm0.6 \mu \mathrm{m}
  2. B1.2μm1.2 \mu \mathrm{m}
  3. C1.8μm1.8 \mu \mathrm{m}
  4. D3μm3 \mu \mathrm{m}

Correct answer

B. 1.2μm1.2 \mu \mathrm{m}

Step-by-step solution

Wavelength of monochromatic light,
λ=600×10−9m\lambda=600 \times 10^{-9} \mathrm{ m}
As fir first minima a sin⁡θ=λ\sin \theta=\lambda
⇒asin⁡30∘=600×10−9⇒a=1200×10−9m=1.2μm\begin{aligned} \\ & \Rightarrow \mathrm{a} \sin 30^{{}^{\circ}}=600 \times 10^{-9} \\ \\ & \Rightarrow \mathrm{a}=1200 \times 10^{-9} \mathrm{ m}=1.2 \mu \mathrm{m} \\ \end{aligned}
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