1.

Statement I : In a young's double slit experiment two slits are at distance d part.Interference pattern is observed on a screen at distance D from the slits. At a point on screen directly opposite to one of the slits, a dark fringe is observed.The wave length of wave is (d^(2))/(D). Statement II : If the entire double slit experiment is dipped in water, the fringe size gets reduced.

Answer»

Statement I is true, statement II is FALSE.
Statement I is false, statement IIis true
Statement I is true, statement II is true. Statement II is not CORRECT EXPLANATION of statement I.
Statement I is true, statement II is true and statement I is not correct explanation of statement II.

Solution :Here `x = (LAMBDA)/(2) = SQRT(D^(2) + d^(2)) - D`
`therefore (lambda)/(2) = D(1 + (d^(2))/(D^(2)))^(1/2) - D`
`(d^(2))/(2D) = (lambda)/(2)`
`therefore lambda = (d^(2))/(D)`


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