The maximum number of possible interference maxima for...

For possible interference maxima on the screen, the condition is $d \sin \theta=n \lambda\ldots(i)$ Given : $d=$ slit - width $=2 \lambda$$\begin{aligned} & \therefore & 2 \lambda \sin \theta & =n \lambda \\ \Rightarrow & & 2 \sin \theta & =n \end{aligned}$$$The maximum value of$\sin \theta$is 1 , hence,$n=2 \times 1=2$Thus, Eq. (i) must be satisfied by 5 integer values$i e,-2,-1,0,1,2$. Hence, the maximum number of possible interference maxima is 5 .