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Plot a graph showing variation of de-Bro...

Plot a graph showing variation of de-Broglie wavelength `lambda` versus `(1)/( sqrt(V))`, where V is accelerating potential for two particles A and B carrying same charge but of masses `m_(1),m_(2),(m_(1) gt m_(2))` . Which one of the two represents a particle of smaller mass and why ?

Text Solution

Verified by Experts

As, `lambda = ( h )/( sqrt( 2 mqV))` or
`lambda = ( (h)/(sqrt(2q)).(1)/( sqrt(m)) ) (1)/(sqrt(V))`
or `(lambda)/((1)/(sqrt(V))).(h)/(sqrt(2q)). (1)/(sqrt(m))`
As the charge on two particles is same, we get
Slope `prop (1)/(sqrt(m))`
Hence, particle with lower mass `( m_(2))` will have greater slope.
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