A) infinite
B) five
C) three
D) zero
Correct Answer: B
Solution :
For possible interference maxima on the screen, the condition is \[d\,\,\sin \,\theta =n\lambda \] ...(i) Given: \[d=slit-width=2\lambda \] \[\therefore \] \[2\lambda \,\,\sin \,\theta =n\lambda \] \[\Rightarrow \] \[2\sin \theta =n\] The maximum value of sin 9 is 1, hence, \[n=2\times 1=2\] Thus, Eq. (i) must be satisfied by 5 integer values ie, \[-2,-1,0,1,2\]. Hence, the maximum number of possible interference maxima is 5.
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