What will be the energy  of a photon which corresponds  to the wavelength  of 0.50Å?

# What will be the energy  of a photon which corresponds  to the wavelength  of $0.50\text{Å}?$

1. A

$3.98×{10}^{-15}\mathrm{J}$

2. B

$3×{10}^{15}\mathrm{J}$

3. C

$3.9×{10}^{8}\mathrm{J}$

4. D

$3×{10}^{-34}\mathrm{J}$

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### Solution:

$\mathrm{E}=\mathrm{hv}=\frac{\mathrm{hc}}{\mathrm{\lambda }}$
$=\frac{\left(6.626×{10}^{-34}\mathrm{Js}\right)\left(3×{10}^{8}{\mathrm{ms}}^{-1}\right)}{0.5×{10}^{-10}\mathrm{m}}=3.98×{10}^{-15}\mathrm{J}$

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