Question

An electron and proton when accelerated through a certain potential difference get associated with de Broglie wavelengths λ_e and λ_p respectively. Consider the ratio of the mass of the proton (m_p) to the mass of the electron (m_e), m_p/m_e= 1837 

Read the following statements carefully. 

I. If the two given particles have equal energies, then λ_p/ λ_e = 1/√1837 

II. If the velocities of the two particles is v_e and v_p respectively, then λ_p/ λ_e = √(v_e/ 1837v_p) 

III. If the accelerating potential V is the same for the two particles, then λ_p/ λ_e = 1/ √1837 

Select the correct option. 

A. All statements are true 

B. All statements are false 

C. Only statements I & II are correct 

D. Only statements I & III are correct

Answer 1

Correct option is : D. Only statements I & III are correct