A moving electron

PHYSICS · Single correct · CBSE · Physics · Dual Nature of Radiation and Matter · Dual Nature of Radiation and Matter

Problem

A moving electron, of mass

m_e

, and a moving proton, of mass

m_p

, both have the same de Broglie wavelength. Which of the following statements about the ratio of the electron's speed to the proton's speed,

\frac{v_{\text{electron}}}{v_{\text{proton}}}

, is correct? (1)

\frac{v_{\text{electron}}}{v_{\text{proton}}} = \sqrt{\frac{m_p}{m_e}}

(2)

\frac{v_{\text{electron}}}{v_{\text{proton}}} = \sqrt{\frac{m_e}{m_p}}

(3)

\frac{v_{\text{electron}}}{v_{\text{proton}}} = \frac{m_p}{m_e}

(4)

\frac{v_{\text{electron}}}{v_{\text{proton}}} = \frac{m_e}{m_p}