Solution:
Solution
Line $$\displaystyle { K }_{ \alpha }$$ corresponds to transfer of electron from L-shell to K-shell.
Here, $$\displaystyle \lambda =0.021nm = 2.1\times 10^{-11}\ m$$
We know that $$\lambda = \dfrac{hc}{E (in \ Joule)}$$
$$\displaystyle \lambda=\frac { hc }{ E (in \ Joule)} =\frac { hc }{ e\times E\left( in \ eV \right) } $$
$$\displaystyle \Rightarrow \quad E\left(in \ eV \right) =\frac { hc }{ e\lambda } =\frac { 6.63\times { 10 }^{ -34 }\times 3\times { 10 }^{ 8 } }{ 1.6\times { 10 }^{ -19 }\times 2.1\times { 10 }^{ -11 } } eV$$
$$\displaystyle E(in \ eV)=5.9\times { 10 }^{ 4 }eV=59keV$$