Question

Let λ_e, λ_p and λ_d be the wavelengths associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is ______.

Options

• λ_d > λ_p > λ_e

• λ_e > λ_p > λ_d

• λ_p > λ_e > λ_d

• λ_e = λ_p = λ_d

Answer 1

Let λ_e, λ_p and λ_d be the wavelengths associated with an electron, a proton and a deuteron, all moving with the same speed. Then the correct relation between them is λ_e > λ_p > λ_d.

Explanation:

λ = `h/(mv)`;

Since speed is the same for an electron, a proton, and a deuteron,

λ ∝ `1/m`

∵ m_e < m_p < m_d

∴ λ_e > λ_p > λ_d