JEE Mains · Physics · STD 12 - 10. Wave optics
A single slit of width \(0.1\, mm\) is illuminated by a parallel beam of light of wavelength \(6000\,\mathop A\limits^o \) and diffraction bands are observed on a screen \(0.5\, m\) from the slit. The distance of the third dark band from the central bright band is........\(mm\)
- A \(3\)
- B \(9\)
- C \(4.5\)
- D \(1.5\)
Answer & Solution
Correct Answer
(B) \(9\)
Step-by-step Solution
Detailed explanation
\(\mathrm{a}=0.1\, \mathrm{mm}=10^{-4}\, \mathrm{cm}\) \(\lambda=6000 \times 10^{-10}\, \mathrm{cm}=6 \times 10^{-7} \,\mathrm{cm}, \mathrm{D}=0.5\, \mathrm{m}\) for \(3^{\text {rd }}\) dark band, \(a\,\sin \theta=3 \lambda\) or \(\sin \theta=\frac{3 \lambda}{a}=\frac{x}{D}\)…
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