Question

If ∝– particle and proton have same velocities, the ratio of de Broglie wavelength of ∝– particle and proton is ...... 

(A) (1/4)

(B) (1/2) 

(C) 1 

(D) 2

Answer 1

The correct option is (A) (1/4).

Explanation:

We know λ = (h/p) = (h / mV)

Given: ∝ particle & proton has same velocity hence V is constant

∴ λ ∝ (1/m)

m∝ = 4 m_p

∴ (λ∝ / λp) = (m_p / m∝) = (m_p / 4 m_p) = (1/4)