\(\mathrm{P}  =\frac{\mathrm{n}}{\mathrm{t}} \frac{\mathrm{hc}}{\lambda}  \)
\(\frac{\mathrm{n}}{\mathrm{t}}  =\frac{\mathrm{P} \lambda}{\mathrm{hc}}  \)
\(\frac{\mathrm{n}}{\mathrm{t}}  =\frac{3.8 \times 10^{26} \times 550 \times 10^{-9}}{6.6 \times 10^{-3} \times 3 \times 10^8}=1 \times 10^{-15}\)

K.E= hv - Φ
K.E₁ = 0.9 - 0.6 = 0.3 eV
K.E₂ = 3.3 - 0.6 = 2.7 ev
K.E ∝ v²
\(\frac{0.3}{2.7}=\frac{v^2_1}{v^2_2} \)
\(\frac{v^1}{v^2} =\frac{1}{3}\)

\(\frac{\mathrm{hc}}{\lambda}  =\phi+\mathrm{K} . \mathrm{E}  .....(1)  \)
\(\frac{2 \mathrm{hc}}{\lambda}  =\phi+3 \mathrm{~K} . \mathrm{E}......(2)\)
multiply eqn. (1) by 3, we get
\(\frac{3 \mathrm{hc}}{\lambda}  =3\phi+3 \mathrm{~K} . \mathrm{E}  .....(3)\)
Subtract eqn. (2) from (3), we get
\(\frac{\mathrm{hc}}{\lambda}  =2\phi \)
\(\phi=\frac{ \mathrm{hc}}{2\lambda}  \)

\(\frac{\mathrm{hc}}{\lambda}=\phi+\mathrm{eV}  \)    .....(1)
\(\frac{\mathrm{hc}}{2 \lambda}=\phi+\frac{\mathrm{eV}}{4}\)    .....(2)
multiply (2) eqn by 4
\(\frac{2 h c}{\lambda}=4 \phi+\mathrm{eV}\)   .....(3)
subtract eqn (1) from (3), we get
\(\frac{ h c}{\lambda}=3 \phi \Rightarrow \phi = \frac{ h c}{3\lambda}\)
\(\frac{ h c}{\lambda_o}=\frac{ h c}{3\lambda}\)
⋋_o = 3⋋

\(\lambda\propto \frac{1}{\sqrt{V}}\)
\(\frac{\lambda_1}{\lambda_2}=\frac{\sqrt{224\times10^3}}{\sqrt{14\times 10^3}}\)
\(=\sqrt{16}=4\)
\(\lambda_{\mathrm{2}}= \frac{\lambda_1}{4}\)