Using dimensional analysis, predict the units of wavelength in the de Broglie hypothesis equation: λ = h m v joule-seconds ( J ⋅ s)kilogram (kg)meters (m) seconds (s)meters per second (m/s)per second (/s)per meter (/m)per kilogram (/kg)

Given, λ = h m v We know [ h ] = M L 2 T − 1 [ m ] = M [ V ] = L T − 1 So dimension λ will be, [ λ ] = [ h ] [ m ] [ v ] = M L 2 T − 1 M ⋅ L T − 1 = LSo unit λ qill be meters.

Explained: "Using dimensional analysis, predict the units of wavelength..."

College
Physics
Quantum Mechanics
de Broglie Equation

Mainuillato2p

Answered question

2022-09-26

Using dimensional analysis, predict the units of wavelength in the de Broglie hypothesis equation:

λ = \frac{h}{m v}

joule-seconds (

J \cdot s

)
kilogram (kg)
meters (m)
seconds (s)
meters per second (m/s)
per second (/s)
per meter (/m)
per kilogram (/kg)

Answer & Explanation

Jaelyn Levine

Beginner2022-09-27Added 9 answers

Given,

λ = \frac{h}{m v}

We know

[h] = M L^{2} T^{- 1} [m] = M [V] = L T^{- 1}

So dimension

λ

will be,

[λ] = \frac{[h]}{[m] [v]} = \frac{M L^{2} T^{- 1}}{M \cdot L T^{- 1}} = L

So unit

λ

qill be meters.

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