MHT CET202415 May 2024Evening ShiftPhysicsAtomic PhysicsActual
Acceleration of an electron in the first Bohr's orbit is proportional to m = mass of electron, r = radius of the orbit, h = Planck's constant)
Options
- Am ^3 r ^3 ~h ^2
- Bh ^2 ~m ^2 r ^3
- Ch ^2 mr ^3
- Dmr ^3 ~h ^2
Correct answer
B. h ^2 ~m ^2 r ^3
Step-by-step solution
From Bohr's postulates, aligned & mvr = nh 2 v= & n h 2 mr = h 2 m r ( n =1) aligned From centripetal acceleration a _ c = v ^2 r , array ll & a_c= h^2 4 ^2 m^2 r^3 & a_c h^2 m^2 r^3 array