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Wave Optics

Question
CBSEENPH12039813
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For a parallel beam of monochromatic light of wavelength 'λ'diffraction is produced by single slit whose width 'a' is of the order of the wavelength of the light. If 'D' is the distance of the screen from the slit the width of the central maxima will be

  • 2Dλ/a

  • Dλ/a

  • Da/λ

  • 2Da/λ

Solution

A.

2Dλ/a

For the condition of maxima

sinθ space equals space straight lambda over straight a from space the space geometry sinθ space equals space straight theta space equals space straight lambda over straight D space space left parenthesis for space small space angle right parenthesis So comma space straight Y over straight D space equals space straight lambda over straight a straight Y space equals space λD over straight a Hence comma space width space central space maxima space equals space 2 straight Y space equals space fraction numerator 2 λD space over denominator straight a end fraction

Some More Questions From Wave Optics Chapter

What is the shape of the wavefront in each of the following cases:
The portion of the wavefront of light from a distant star intercepted by the Earth. 

Is the speed of light in glass independent of the colour of light? If not, which of the two colours red and violet travels slower in a glass prism?

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