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11.Dual Nature of Radiation and matter
easy
The energy of a photon of light with wavelength $5000\, \mathring A$ is approximately $2.5 eV$. This way the energy of an $X-$ ray photon with wavelength $1\, \mathring A $ would be
A$2.5/5000 eV$
B$2.5/{(5000)^2}eV$
C$2.5 \times 5000\;eV$
D$2.5 \times {(5000)^2}eV$
Solution
(c) $E \propto \frac{1}{\lambda }$
$\Rightarrow \frac{{2.5}}{{E'}} = \frac{1}{{5000}} $
$\Rightarrow E' = (2.5) \times 5000\;eV$
$\Rightarrow \frac{{2.5}}{{E'}} = \frac{1}{{5000}} $
$\Rightarrow E' = (2.5) \times 5000\;eV$
Standard 12
Physics