MHT CET · Physics · Wave Optics
A single slit diffraction pattern is formed with white light. For what wavelength of light the \(4^{\text {th }}\) secondary maximum in diffraction pattern coincides with the \(3^{\text {rd }}\) secondary maximum in the pattern of light of wavelength ' \(\lambda\) ' ?
- A \(\frac{5 \lambda}{7}\)
- B \(\frac{7 \lambda}{9}\)
- C \(\frac{3 \lambda}{4}\)
- D \(\frac{9 \lambda}{13}\)
Answer & Solution
Correct Answer
(B) \(\frac{7 \lambda}{9}\)
Step-by-step Solution
Detailed explanation
\(a \sin \theta_1 = \left( 4 + \frac{1}{2} \right) \lambda_1 = \frac{9}{2} \lambda_1\) \(a \sin \theta_2 = \left( 3 + \frac{1}{2} \right) \lambda = \frac{7}{2} \lambda\)
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