The acceleration of an electron in the first orbit of the hydrogen atom ( n = 1 ) is :

The acceleration of an electron in the first orbit of the hydrogen atom (n=1) is :
  1. h24πm2r3
  2. h2π2m2r3
  3. h28π2m2r3
  4. h24π2m2r3

Solution

For H-atom  n=1

mv2r=14πϵoe2r2  ...1

mvr=h2π  ...2

On squaring (2)

m2v2r2=h24π2

On dividing both sides by r3 ,

m2v2r=h24πr3 v2r=h24π2r3m2

Acceleration= h24π2r3m2.

Asked in: JEE Main 2017 (09 Apr Online)

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