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Question: An X-ray tube produces a continuous spectrum radiation with its short wavelength end at 0.45 Å. The ...

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

A

30.4keV

B

27.6keV

C

15.2keV

D

12.8keV

Answer

27.6keV

Explanation

Solution

: here λ−10min⁡{\lambda - 10}_{\min}

h=6.63×10−34jsc=3×108ms−1h = 6.63 \times 10^{- 34}jsc = 3 \times 10^{8}ms^{- 1}

Maximum energy of X-ray photon is

Emax⁡=hvmax⁡=hcλmin⁡E _ { \max } = h v _ { \max } = \frac { h c } { \lambda _ { \min } } =6.63×10−34×3×1080.45×10−10×1.6×10−19eV= \frac { 6.63 \times 10 ^ { - 34 } \times 3 \times 10 ^ { 8 } } { 0.45 \times 10 ^ { - 10 } \times 1.6 \times 10 ^ { - 19 } } \mathrm { eV } =27.6×103eV=27.6keV= 27.6 \times 10 ^ { 3 } \mathrm { eV } = 27.6 \mathrm { keV }