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In a YDSE with two identical slits, when...

In a YDSE with two identical slits, when the upper slit is covered with a thin, perfectly tranparent sheet of mica, the intensity at the centre of screen reduces ro `75%` of the initial value second minima is observed to the above this point and third maxima below it which of the following can not be a possible value of phase difference caused by the mica sheet

A

`(pi)/(3)`

B

`(13pi)/(3)`

C

`(5pi)/(3)`

D

`(11pi)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`I = 4I_(0)cos^(2)((Delta phi)/(2)) 4I_(0)((75)/(100))= 4I_(0) cos^(2)((Delta theta)/(2))`
`cos^(2)((Delta phi)/(2)) = (3)/(4) , cos ((Delta phi)/(2)) = sqrt((3)/(4)) = +- (sqrt(3))/(2)`
`(Delta phi)/(2) = (pi)/(6) , (5pi)/(6) , (7pi)/(6) , (11pi)/(6)` .....
`Delta phi = (pi)/(3), (5pi)/(3), (7pi)/(3),(11pi)/(3)` .....
the possible value of `Delta phi = (11pi)/(3) , (13pi)/(3) , (17pi)/(3)`
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