Q. To observe a stationary interference pattern formed by two light waves, which of the following is not a necessary condition:

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Same frequency

Same amplitude

Constant phase difference

Same intensity

Solution:

For sustained interference the phase difference must remain conststant between the interfering waves, if it varies with time then the resulting intensity at the point of interference will change with time so the interfering waves must be coherent. With change in amplitude and intensity of the two waves, only the resulting intensity will be affected but it does not change, hence option (B) and (D) are not necessary for sustained interference

Questions from Wave Optics

1. Which of the following phenomena support the wave theory of light ?
(a) scattering
(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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