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Light of frequency 25 GHz is incident no...

Light of frequency 25 GHz is incident normally on a rectangular slit of width 4 cm. Calculate the angular width of the central maximum of the diffraction pattern formed by the slit.

Text Solution

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Given, frequency of light, `v = 25 GHz`
`= 25 xx 10^9 Hz`
Width of slit, `b = 4 cm = 4 xx 10^(-2)m`
Angular width of central maximum is
`2 theta = (2 lambda)/(b) = (2c)/(bv) " " [lambda = c/v]`
`= (2 xx 3 xx 10^8)/(4 xx 10^(-2)xx 25 xx 10^(9)) = 0.6 ` radians.
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