A particle 'A' has a de-Broglie wavelength $ 1 Å $. If the particle B has mass $ 25 \% $ of that of A and velocity $ 75 \% $ of that of A, calculate the approximate de-Broglie wavelength of B.

Question

A particle 'A' has a de-Broglie wavelength $ 1 Å $. If the particle B has mass $ 25 \% $ of that of A and velocity $ 75 \% $ of that of A, calculate the approximate de-Broglie wavelength of B., 1. $ 6 Å $, 5. $ 3 Å $, 3. $ 5 Å $, $ 5.9 Å $

MARKS App · Accepted Answer

λ A = h m A v A = 1 Å . ...........(i) m B = 0.25 m A , v B = 0.75 v A λ B = h 0.25 m A × 0.75 v A ............(ii) Dividing (i) by (ii) λ A λ B = 0.25 × 0.75 1 Or λ B = λ A 0.1875 = 1 0.1875 = 5.33 A ∘ .

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