A particle of mass 9.1 $\times$ 10$-$31 kg travels in a medium with a speed of 106 m/s and a photon of a radiation of linear momentum 10$-$27 kg m/s travels in vacuum. The wavelength of photon is __________ times the wavelength of the particle.
Answer (integer)
910
Solution
For photon $${\lambda _1} = {h \over P} = {{6.6 \times {{10}^{ - 34}}} \over {{{10}^{ - 27}}}}$$<br><br>For particle $${\lambda _2} = {h \over {mv}} = {{6.6 \times {{10}^{ - 34}}} \over {9.1 \times {{10}^{ - 31}} \times {{10}^6}}}$$<br><br>$\therefore$ ${{{\lambda _1}} \over {{\lambda _2}}} = 910$
About this question
Subject: Physics · Chapter: Dual Nature of Matter and Radiation · Topic: de Broglie Hypothesis
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