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Q.

A hydrogen atom and a doubly ionized lithium atom are both in the second excited state. If  LH and  LLi  respectively represent their electronic angular momenta  and  EH and  ELi  their energies, then :

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a

LH=LLiand|EH|<|ELi|

b

LH=LLiand|EH|>|ELi|

c

LH>LLiand|EH|>|ELi|

d

LH<LLiand|EH|<|ELi|

answer is B.

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Detailed Solution

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For both the atoms the second excited state corresponds to  n=3. Therefore, the angular momentum for each of them is 3(h/2π).  The energy, however, is proportional to Z2  where Z   is the atomic number and hence numerical value of energy for hydrogen is less than that for lithium.

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