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Question

Chemistry Question on Dual nature of radiation and matter

The wavelength of a 1 keV photon is 1.24 nm. The frequency of 1 MeV photon is:

A

1.24×1015Hz1.24\times {{10}^{15}}Hz

B

2.4×1020Hz2.4\times {{10}^{20}}Hz

C

1.24×1018Hz1.24\times {{10}^{18}}Hz

D

2.4×1024Hz2.4\times {{10}^{24}}Hz

Answer

2.4×1020Hz2.4\times {{10}^{20}}Hz

Explanation

Solution

f=cλ=chc/E=Ehf=\frac{c}{\lambda }=\frac{c}{hc/E}=\frac{E}{h}
\therefore f=1×1.6×10136.6×1034=2.4×2020Hzf=\frac{1\times 1.6\times {{10}^{-13}}}{6.6\times {{10}^{-34}}}=2.4\times {{20}^{20}}Hz