Gujarati
11.Dual Nature of Radiation and matter
easy

A photon, an electron and a uranium nucleus all have the same wavelength. The one with the most energy

A

Is the photon

B

Is the electron

C

Is the uranium nucleus

D

Depends upon the wavelength and the properties of the particle.

Solution

(a) $\lambda = \frac{h}{{mv}} = \frac{h}{{\sqrt {2mE} }}:$ $\therefore \;E = \frac{{{h^2}}}{{2m{\lambda ^2}}}$
$\lambda $ is same for all, so $E \propto \frac{1}{m}$. Hence energy will be maximum for particle with lesser mass.

Standard 12
Physics

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