Most Important Selected Qs for JEE AdvancedPhysicsAtomic Physics
Suppose the potential energy between electron and proton at a distance r is given by - ke ^2 3 r ^3 . Application of Bohr's theory to hydrogen atom in this case shows that
Options
- AEnergy in the n th orbit is proportional to n ^6
- BEnergy is proportional to m ⁻³ .(m: mass of electron)
- CEnergy of the n th orbit is proportional to n⁻²
- DEnergy is proportional to m ^3 ( m = mass of electron)
Correct answer
B. Energy is proportional to m ⁻³ .(m: mass of electron)
Step-by-step solution
|F|= d U d r = k e^2 r^4 F= m v^2 r k^2 r^4 = m v^2 r (1) and mvr = nh 2 (2) From (1) and (2) r= k^2 4 ^2 n^2 m n^2 = A m n^2 T . E= 1 2 P . E= 1 2 k^2 3 ( Am n ^2 )^3 T.E. n ^6, ~T . E . m ⁻³