CUET · MATHS · PYQ PAPER 2024
Using monochromatic light for diffraction in a single slit of width 0.1 mm , with a central maximum of 5 mm width on a screen 50 cm away, the wavelength of light used is :
- A \(2.5 \times 10^{-7} m\)
- B \(4 \times 1 0 ^{- 7 } m\)
- C \(5 \times 1 0 ^{- 7 } ~ m\)
- D \(7.5 \times 10^{-7} m\)
Answer & Solution
Correct Answer
(C) \(5 \times 1 0 ^{- 7 } ~ m\)
Step-by-step Solution
Detailed explanation
\(\lambda = \frac{Wa}{2D}\) \(\lambda = \frac{(5 \times 10^{-3} \text{ m})(0.1 \times 10^{-3} \text{ m})}{2(0.50 \text{ m})}\) \(\lambda = 5 \times 10^{-7} \text{ m}\)
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