$\bar {V}=Rz^2(\large\frac{1}{n_1^2}-\frac{1}{n_2^2})$
Putting the values $n_1=1,n_2=3,z=3$
We get $\bar{V}=8.77\times 10^7m^{-1}$
$\Rightarrow \lambda=\large\frac{1}{\bar V}$$=113.9A^{\circ}$
Corresponding transition responsible is $1\to \infty$
(i.e) $\Delta E=13.6\times 3^2\big(\large\frac{1}{1^2}-\frac{1}{\infty^2})$
$\Delta E=122.4eV$
$\Rightarrow 1.95\times 10^{-17}J$
Hence (b) is the correct answer.