If speed of electron in the ground state of hydrogen atom is $$2.2$$×$$106$$ $$m/s$$, which of the following cannot be the speed of electron in any orbit of $$He+$$ ion?

Correct option is 43.46×106 m/s

Questions

If speed of electron in the ground state of hydrogen atom is $2.2 \times 10^{6} m / s$ , which of the following cannot be the speed of electron in any orbit of He⁺ ion?

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2.2×106 m/s

1.466×106 m/s

4.4×106 m/s

3.46×106 m/s

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detailed solution

Correct option is D

Vn=V0znIn case of He+ ion, z = 2∴ For n=1, V1=2.2×106×21m/s=4.4×106 m/sFor n=2, V2=2.2×22×106 m/s=2.2×106 m/sFor n=3, V3=2.2×23×106 m/s=1.466×106 m/s

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If speed of electron in the ground state of hydrogen atom is 2.2×106 m/s, which of the following cannot be the speed of electron in any orbit of He+ ion?

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If speed of electron in the ground state of hydrogen atom is $2.2 \times 10^{6} m / s$ , which of the following cannot be the speed of electron in any orbit of He⁺ ion?