Find the (a) maximum frequency and (b) minimum wave-length of X-rays produced by 30 kV electrons. Given, `h=6.63xx10^(-34)Js`.

Explanation

Here, `V=30 kV=30xx10^(3)V=3xx10^(4)V`
(a) `eV=hv or v=(eV)/h=((1.6xx10^(-19))xx3xx10^(4))/(6.63xx10^(-34))=7.24xx10^(18)Hz`
(b) `eV=(hc)/(lambda_(min)) or lambda_(min)=(hc)/(eV)=((6.63xx10^(-34))xx(3xx10^(8)))/((1.6xx10^(-19))xx(3xx10^(4)))=0.041xx10^(-9)m=0.041nm`