An X-ray tube produces a continuous spectrum of radiation with its short wavelength end at $0.45 \AA

Question

An X-ray tube produces a continuous spectrum of radiation with its short wavelength end at $0.45 \AA$. The maximum energy of a photon in the radiation is

Professor PC Thomas Classes · Answer

(b) : Here, $\lambda_{	ext {min }}=0.45 \AA=0.45 	imes 10^{-10} \mathrm{~m}$ \ $ h=6.63 	imes 10^{-34} \mathrm{~J} \mathrm{~s}, c=3 	imes 10^8 \mathrm{~m} \mathrm{~s}^{-1} $ \ Maximum energy of X-ray photon is \ $ E_{\max }  =h v_{\max } \ =\frac{h c}{\lambda_{\min }}=\frac{6.63 	imes 10^{-34} 	imes 3 	imes 10^8}{0.45 	imes 10^{-10} 	imes 1.6 	imes 10^{-19}} \mathrm{eV} \  =27.6 	imes 10^3 \mathrm{eV}=27.6 \mathrm{keV} $