The wavelength λₑ of an electron and λₚ of a photon are of same energy E are related by

Options

(a) λₚ ∞ λₑ
(b) λₚ ∞ √λₑ
(c) λₚ ∞ 1/√λₑ
(d) λₚ ∞ λₑ²

Correct Answer:

λₚ ∞ λₑ²

Explanation:

As P = E/C
λₚ = hC / E …(i)
λₑ² = hh / √ 2mE …(ii)
From equations (i) and (ii)
λₚ ∞ λₑ²