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A plane wave of wavelength 6250 Å is inc...

A plane wave of wavelength 6250 `Å` is incident normally on a slit of width `2 xx 10^(-2)` cm. The width of the principal maximum on a screen distant 50 cm will be

A

`312 . 5 xx 10^(-2)` cm

B

`312 . 5 xx 10^(-4)` cm

C

312 cm

D

`312 xx 10^(-5)` cm

Text Solution

Verified by Experts

The correct Answer is:
A
Here , `lambda = 6250 Å = 6520 xx 10^(-10) m`
` a = 2 xx 10^(-2) cm = 2 xx 10^(-4) m`
`D = 50 cm = 0 . 5 m`
`:.` Width of central maxima `= (2 lambda D)/(a)`
`= ( 2 xx 6250 xx 10^(-10) xx 0.5)/(2 xx 10^(-4)) = 312 .5 xx 10^(-3) cm`
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