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If potential energy between a proton and an electron is given $| U | = k e^{2} / 2 R^{3}$ , where e 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)

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ke2mh2

6π2n2ke2mh2

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4π2ke2mn2h2

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detailed solution

Correct option is B

U=−ke22R3,F=−dUdR=−3ke22R4 But, F=mv2R⇒mv2R=3ke22R4 Also, mvR=nh2π Solve to get: R=6π2ke2mn2h2

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If potential energy between a proton and an electron is given |U|=ke2/2R3, where e 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)

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If potential energy between a proton and an electron is given $| U | = k e^{2} / 2 R^{3}$ , where e 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)