Q.

If E1 is the energy of an electron in first orbit of He+, the energy E2 of an electron in nth orbit of hydrogen atom will be

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a

E1/2n

b

E1/2n2

c

E1/8n2

d

E1/4n2

answer is C.

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Detailed Solution

Since EnZ2/n2

we have E1He+2212=4 

and En(H)=12n2=1n2.

Hence En(H)=E1/4n2=E14n2

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If E1 is the energy of an electron in first orbit of He+, the energy E2 of an electron in nth orbit of hydrogen atom will be