Question

Give me the derivation of De- Broglie Relationship
▶▶

Answer 1

Heyaaa mate

Here is your answer:-

◼️In his 1924 PhD thesis, de Broglieproposed that just as light has both wave-like and particle-like properties, electrons also have wave-like properties. ... He hypothesized that every matter particle had an associated wavelength given by therelation p = h λ.

◼️Matter waves are a central part of the theory of quantum mechanics, being an example of wave–particle duality. ... The concept that matter behaves like a wave was proposed by Louis de Broglie (/dəˈbrɔɪ/) in 1924. It is also referred to as the de Broglie hypothesis.

Hope it helps you

Thanks

Answer 2

$\huge\mathfrak{Heya\: Mate}$

$\small\bold\underline{Derivation\: of\: Debroglie\: Relationship}$

According to Planck , photon of light having energy E is associated with a wave of frequency v as:-

E = hv______(I)

According to Einstein , mass and energy are related as:-

E = mc²_______(ii)

Combining the above two eqn..

hv = mc²

.•. v = c/lambda

so, by following this

hc/lambda = mc²

cancelling c,

h/lambda = mc

lambda = h/mc

HOPE IT HELPS YOU▶▶▶

where ,c is the velocity of light..