1.

In Young's double slit experiment, if th distance between two slits is double of the wavelength of light used. Prove that maximum 5 bright fringes will be obtained on the screen.

Answer»

Solution :CONDITION for bright fringe,
`dsintheta=nlamda` where n=0,1 2, 3, ……..
but `d=2lamda` is given.
`:.2lamdasintheta=nlamda`
`:.sintheta=(n)/(2)`
but `sinthetale1` [RANGE of sine function]
`:.(n)/(2)le1`
`:.nle2`
Thus, for `nle2` on SCREEN we have,
(i) One central maximum for n = 0
(ii) Two first order maximum for n = 1.
Two second order maximum for n = 2.
`:.` We have TOTAL five bright FRINGES.


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