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Q.

If energy and angular momentum of electron in the ground state of hydrogen atom E0 and L0 respectively, then in a He+ ion, energy of the electron whose angular momentum is 3L0, will be

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a

3E016

b

9E064

c

27E064

d

4E09

answer is D.

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Detailed Solution

In the nth energy state of a hydrogen-like ion, Ln=nh2π and En=−13.6z2n2eV∴ En=−13.6 z22π Ln/h2=−13.6 h24π2z2Ln2∴ E1E=z1z2.LnL1n2⇒E1E0=212132⇒E1=4E09
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