Atoms And Nuclei Question 302

Question: If potential energy between a proton and an electron is given by |U|=ke2/2R3 , where K is the charge of electron and R is the radius of atom, then radius of Bohr’s orbit is given by (h = Planck’s constant, k=constant)

Options:

A) ke2mh2

B) 6π2n2ke2mh2

C) 2πnke2mh2

D) 4π2ke2mn2h2

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Answer:

Correct Answer: B

Solution:

  • U=ke22R2,F=dUdR=3ke22R4 But, F=mv2Rmv2R=3ke22R4 Also, mvR=nh2π Solve to get: R=6π2ke2mn2h2


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