If a proton and electron have the same de Broglie wavelength, then

Options

A. both have same kinetic energies
B. proton has more kinetic energy than electron
C. electron has more kinetic energy than proton
D. both have same velocity

Answer

C

Explanation

de Broglie wavelength , `lamda=h/(m_p v_p)=h/(m_ev_e)`
`:. m_pv_p=m_ev_e" or " v_p/v_e=(m_e)/(m_p)`
`K_p/K_e =(1/2m_pv_p^2)/(1/2m_ev_e^2)=(m_p)/(m_e)xx(m_e/m_p)^2 = (m_e)/(m_p) lt 1`
`:. K_p lt K_e " or " K_e gt K_p`