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  4. A slit of width 12 × 10-7 m is illuminated by light of wavelength 6000 mathringA. The angular width (in degree) of central maximum is approximately ?

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Q. A slit of width $12 \times 10^{-7} m$ is illuminated by light of wavelength $6000\,\mathring{A}$. The angular width (in degree) of central maximum is approximately ?

Wave Optics

Solution:

Central maximum width $=\frac{2 \lambda}{a}$
$=\frac{2 \times 6000 \times 10^{-10}}{12 \times 10^{-7}}$ radian
$=\frac{2 \times 6000 \times 10^{-10}}{12 \times 10^{-7}} \times \frac{180^{\circ}}{\pi}$ $=60^{\circ}$