For a minima at $P$, path difference of sounds reaching $P$ must be an odd multiple of half wavelength.
So, $S P-R P=(2 n+1) \frac{\lambda}{2}$
where, $n=0,1,2,3 \ldots$
From above figure,
$S P=\sqrt{(R P)^{2}+(R S)^{2}}$
$S P=\sqrt{12^{2}+5^{2}}=13$
So, path difference,
$S P-R P=13-12=1 \,m$
$Hence, from Eq. (i),$
$1=\frac{(2 n+1) v}{2 f}$
Possible values of frequency of sound are for $n=0$,
$f_{1}=\frac{v}{2}=\frac{330}{2}=165 \,Hz$
For $n=1$
$f_{2}=\frac{3 v}{2}=495 Hz , \ldots \ldots, \text { etc. }$
Hence, option $'a'$ matches with $f_{2}$.


