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NEET 2015 (AIPMT, Cancelled Paper) · Diffraction at a Single Slit

Diffraction at a Single Slit question from NEET 2015 (AIPMT, Cancelled Paper)

Q81NEET 2015 · AIPMT · CANCELLED PAPERMedium

Diffraction at a Single Slit

In a double slit experiment, the two slits are 1 mm apart and the screen is placed 1 m away. A monochromatic light of wavelength 500 nm is used. What will be the width of each slit for obtaining ten maxima of double slit within the central maxima of single slit pattern?

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Answer: (c)

Width of single-slit central maximum $= \dfrac{2\lambda D}{a}$ ; double-slit fringe width $\beta = \dfrac{\lambda D}{d}$
Ten maxima inside: $\dfrac{2\lambda D}{a} = 10\,\dfrac{\lambda D}{d} \Rightarrow a = \dfrac{2d}{10}$
$a = \dfrac{2 \times 1}{10} = 0.2$ mm. So the answer is (c).

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