(a) infinite

(b)zero

(c)five

(d)seven

In YDSE

If d is slit separation ; $d= 3 \lambda$

We have for maxima

$d \sin \theta = n \lambda$

$\sin \theta =\large\frac{n \lambda}{d}$

$\sin \theta$ can take maximum value of 1

$\large\frac{ n \lambda }{d}$$ \leq 1$

$n \leq \large\frac{d}{\lambda}$

$ n \leq \large\frac{3 \lambda}{\lambda}$

$n \leq 3$

So we can have 3 maximas on either side of central maxima ie 7 maximas.

Hence d is the correct answer

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