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A Parallel Beam of Light of Wavelength 500 Nm Falls on a Narrow Slit and the Resulting Diffraction Pattern is Observed on a Screen 1 M Away.

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प्रश्न

A parallel beam of light of wavelength 500 nm falls on a narrow slit and the resulting diffraction pattern is observed on a screen 1 m away. It is observed that the first minimum is a distance of 2.5 mm away from the centre. Find the width of the slit.

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उत्तर

\[\text { Distance of first minimum y } = \frac{\lambda}{a}\]

\[ \Rightarrow\text {  slit width a } = \frac{\lambda}{y}\]

\[ \therefore a = \frac{500 \times {10}^{- 9}}{2 . 5 \times {10}^{- 4}} = 0 . 002 m\]

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2013-2014 (March) Foreign Set 3

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