With a single slit and a screen away

PHYSICS · Single correct · CBSE · Physics · Wave Optics · Wave Optics

Problem

With a single slit and a screen 1.0 m1.0\,\text{m} away, green light of wavelength 500 nm500\,\text{nm} produces a central maximum 4.0 mm4.0\,\text{mm} wide. If the light is replaced by violet light of wavelength 400 nm400\,\text{nm}, what should be the new slit width so that the central maximum remains 4.0 mm4.0\,\text{mm} wide? (a) 0.25 mm0.25\,\text{mm} (b) 0.20 mm0.20\,\text{mm} (c) 0.31 mm0.31\,\text{mm} (d) 0.10 mm0.10\,\text{mm}

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