A) infinite
B) five
C) three
D) zero
Correct Answer: B
Solution :
For possible interference maxima of the screen, then, condition is \[\operatorname{d}\,\,sin \theta \,\,=\,\,n\lambda \] ... (i) Given, \[\operatorname{d} =slit width =2\,\lambda \] \[\therefore \,\,\,\,\,\,\,\,\,\,2\lambda \sin \,\,\theta \,=\,\,n\,\lambda \] or \[2\,\,sin\,\,\theta \,\,=\,\,n\] The maximum value of sin 6 is 1, hence \[n=2\times \,\,1=2\] Thus, Eq. (i) must be satisfied by 5 integers values i.e., -2, -1, 0, 1, 2 hence the maximum number of possible interference maxima is 5You need to login to perform this action.
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