1.

White light reflectedat normal incidence from a soap film, has maximum at 6000 Åand the minimum at 4500 Å in the visible region with no minimum in between.If mu = 1.33 for the film, the thickness of the film is :

Answer»

`0.23 MU m`
`0.34 mu m `
`0.44 mu m`
`0.5 mu m`

SOLUTION :`mu = 1.33`
For MAXIMA, `lambda_(1) = 6000 Å`
For MINIMA, `lambda_(2) = 4500 Å`
Applying the condition for maxima
`2mu T = (2n -1).(lambda_(1))/(2)`....(1)
and for minima `2mut = 2n .(lambda_(2))/(2)`...(2)
From (1) and (2)
`(2n - 1) .(lambda_(1))/(2) = n lambda_(2)`
`(2n -1)6000 = 2n XX 4500`
`therefore`n = 2
Now from eqn.(2)
`2 xx 1.33 xx t = 2 xx 2xx(4500)/(2)`
`therefore tapprox 0.34 mu m`.


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