In Bohr model of hydrogen atom, magnitude of force acting on the electron in the ground state of hydrogen atom is F. Then the magnitude of force acting on the electron of He+ ion in the second excited state is

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4F27

8F81

16F9

8F27

answer is B.

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Detailed Solution

In the nth energy state in a hydrogen like ion, Vn∝zn and rn∝n2z∴ Fn−αVn2rn⇒Fn∝Zn2n2/z⇒Fn∝z3n4∴ F1F=Z1Z3×nn14=213.134=881⇒ F1=8F81

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