1.

In Young's double slit experiment the point source is placed slightly off the central axis as shown in figure. The plane of slits (S_(1), S_(2)) and screen are separated by a distance of 2m. The separation between the slits is 10 mm. The position of the slit above the axis is 1mm. if the wavelength lambda = 4000 Å in the above arrangement If central maximum is to occur at point 'P' then a sheet of thin film of refractive index mu = 1.5 can be introduced in the path of rays from one the slits to the point 'P'. (t-thickness of film)

Answer»

<P>`S_(1)` to P such that `[S S_(1) + S_(1)P+(MU - 1)t] ~ [S S_(2) + S_(2)P] = 0`
`S_(2)` to P such that `[S S_(2) + S_(2)P+(mu - 1)t] ~ [S S_(1) + S_(1)P] = 0`
`S_(1)` to P such that`[S S_(2) + S S_(1)] ~ [S_(1)P + (mu - 1)t + S_(2)P] = 0`
`S_(1)` to P such that`[S S_(1) + S S_(2)] ~ [S_(1)P + (mu - 1)t + S_(1)P] = 0`

ANSWER :A


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