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  4. A beam of light of wavelength 6000 mathringA from a distant source falls on a single slit 1 mm wide and the resulting diffraction pattern is observed on a screen 2 m away. The distance between the first dark fringes on either side of the central bright fringe is:

Q. A beam of light of wavelength from a distant source falls on a single slit wide and the resulting diffraction pattern is observed on a screen away. The distance between the first dark fringes on either side of the central bright fringe is:

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Solution:

In single slit diffraction pattern, angular separation of first dark fringe from central bright fringe is given as

For small angle we can use

Separation distance of first dark fringe from central maxima is given as



So, distance between the first dark fringes on either side of the central bright fringe


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1. Which of the following phenomena support the wave theory of light ?
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(b) interference
(c) diffraction
(d) velocity of light in a denser medium is less than the velocity of light in the rarer medium

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2. In Young's double slit experiment, how many maxima can be obtained on a screen (including central maxima), if (where is the wavelength of light)?

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3. Light of wavelength is incident normally on a slit of width . The angular width of central maxima in the diffraction pattern is (measured from minimum to minimum)

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4. Using monochromatic light of wavelength , an experimentalist sets up the Young's double slit experiment in three ways as shown.
If she observes that y = the wavelength of light used is :

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5. At two points P and Q on a screen in Young's double slit experiment, waves from slits and have a path difference of 0 and respectively. The ratio of intensities at P and Q will be :

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