Question

Plot a graph showing variation of de-broglie wavelength `lambda` versus `1//sqrtV`, where V is accelerating potential for two particle A and P carrying same charge but of masses `m_1 and m_2(m_1gtm_2)`. Which one of the two represents a particle of smaller mass and why?

Answer 1

Let `lambda_(1)=(h)/(sqrt(2qm_(1)V) )=(h)/(sqrt(2qm_(1))):(1)/(sqrt(V) )`
`rArr lambda_(1) =k_(1) .(1)/(sqrt(V))`
Similarly `lambda_(2) =k_(2) .(1)/(sqrt(V))`
Now since `m_(1) gt m_(2) rArr k_(1) lt k_(2)`