Get Answers to all your Questions

header-bg qa

If the de Broglie wavelengths associated with a proton and an α-particle are equal, then the ratio of velocities of the proton and the α-particle will be :

  • Option 1)

    4 : 1

  • Option 2)

    2 : 1

  • Option 3)

    1 : 2

  • Option 4)

    1 : 4

 

Answers (2)

best_answer

As we learnt

De - Broglie wavelength -

\lambda = \frac{h}{p}= \frac{h}{mv}= \frac{h}{\sqrt{2mE}}

- wherein

h= plank's\: constant

m= mass \: of\: particle

v= speed \: of\: the \: particle

E= Kinetic \: energy \: of \: particle

 

 \lambda =\frac{h}{mv}\: \: \because \lambda _{\alpha }= \lambda _{p }\therefore p_{\alpha }=p_{b}

\therefore m_{\alpha } v_{\alpha }=m_{p}v_{p}\: \: \therefore \frac{v_{p}}{v_{\alpha }}=\frac{m_{\alpha }}{m_{p}}= 4:1

 


Option 1)

4 : 1

Option 2)

2 : 1

Option 3)

1 : 2

Option 4)

1 : 4

Posted by

Aadil

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE