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Question 38 of 42

Q.What do you mean by dual nature of matter? Calculate the momentum of a photon associated with a radiation of frequency 6×10¹³ Hz. (1+2) OR

(a) Draw the graph between stopping potential and frequency from Einstein photoelectric equation. How can you calculate the value of Planck's constant from this graph?
(b) What is the fundamental difference between light wave and matter wave? (2+1)
West Bengal WbchseWest Bengal HS (WBCHSE) Board 2025Subjective· 3mImportance★★★★★
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Matter (particles like electrons) exhibits wave properties (de Broglie's dual nature); photon momentum follows from p = hν/c.

Dual nature of matter: Just as light (normally understood as a wave) also shows particle-like behaviour (as photons, in phenomena like the photoelectric effect), de Broglie proposed the converse: matter (particles with mass, like electrons) also exhibits wave-like behaviour, associated with a wavelength λ=h/p\lambda = h/p. This wave-particle duality of matter is called its dual nature.

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