Question

derive the general expression for de broglie wave length
hints : lambda depend on mass (m], velocity (v) &
planck's constant . lambda L, mass M , velocity LT-1

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Answer 1

de Broglie equation :-

E = mc² and E = hν

Now, mc² = hν

• mv² = hν

• mv² = $\dfrac{hv}{λ}$

• λ = $\dfrac{hv}{mv²}$

• λ = $\dfrac{h}{mv}$

Extra :-

• λ = $\dfrac{h}{p}$

• λ = $\dfrac{h}{mv}$

• λ = $\dfrac{h}{√2mK.E.}$

• λ = $\dfrac{h}{√2mqV}$

$\bold{Hope\;it \; helps\;!}$