Q.

Bohr model of hydrogen atom explains

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a

Total energy of electron in nth  orbit is proportional to n2 .

b

Radius of nth  orbit is indirectly proportional to n2 , the angular momentum of electron in an orbit is integral multiple of h /2π and magnitude of potential energy of an electron is greater than its kinetic energy.

c

Total energy of electron in nth orbit is proportional to n.

d

The radius of nth orbit is proportional to n2 , the angular momentum of electron in an orbit is integral multiple of h /2π and magnitude of potential energy of an electron in an orbit is greater than its kinetic energy.

answer is A, D.

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Detailed Solution

Radius of nth orbit=rn=n2h22π2mZe2

radius of nth orbitn2

angular momentum=mvr=nh2π

E=K.E+P.E  P.E=-Ze2r    K.E=12mv2

E=12mv2-Ze2r

mv2=-Ze2r

E=12Ze2r-Ze2r

 P.E=-Ze2r 

 K.E=Ze22r

En=-2π2me4h2×Z2n2

En1n2

Energy Size of orbit.

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