Ncert Exercises & Solutions

Q.11.1: Find the:

(a) Maximum frequency, and

(b) The minimum wavelength of X-rays produced by 30 kV electrons.

(a)
Hint: \(E=hv\)
Step: Find the maximum frequency
\(\text{As}~~~~~~E=hv\\ ~~~~~\Rightarrow v=\frac{E}{h}=\frac{1.6\times10^{-19}\times30\times10^3}{6.626\times10^{-34}}\\ ~~~~~~~~~~~~~=7.24\times10^{18}~Hz.\)
(b)
Hint: \(c=\nu\lambda\)
Step: Find the minimum wavelength
\(\text{As}~~~~~~c=\nu\lambda\\ ~~~~~\Rightarrow \lambda=\frac{c}{\nu}=\frac{3\times10^{8}}{7.24\times10^{18}}\\ ~~~~~~~~~~~~~=4.14\times10^{-11}~m\\ ~~~~~~~~~~~~~=0.0414~m.\)

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