JEE Mains · Physics · STD 12 - 10. Wave optics
The diffraction pattern of a light of wavelength \(400\) \(\mathrm{nm}\) diffracting from a slit of width \(0.2 \mathrm{~mm}\) is focused on the focal plane of a convex lens of focal length \(100 \mathrm{~cm}\). The width of the \(1^{\text {st }}\) secondary maxima will be _______.
- A \(2 \mathrm{~mm}\)
- B \(2 \mathrm{~cm}\)
- C \(0.02 \mathrm{~mm}\)
- D \(0.2 \mathrm{~mm}\)
Answer & Solution
Correct Answer
(A) \(2 \mathrm{~mm}\)
Step-by-step Solution
Detailed explanation
Width of \(1^{\text {st }}\) secondary maxima \(=\frac{\lambda}{a} \cdot D\) Here \( a=0.2 \times 10^{-3} \mathrm{~m} \) \( \lambda=400 \times 10^{-9} \mathrm{~m} \) \( D=100 \times 10^{-2}\) Width of \(1^{\text {st }}\) secondary maxima…
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