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Question

If λL1,λL2 and λL3 are wavelengths of 1st,2nd and 3rd lines of Lyman series λB1,λB2 and λB3 are wavelengths of 1st,2nd and 3rd lines of Balmer series while λP1 and λP2 are wavelengths of 1st,2nd lines of Paschen series of hydrogen then which of the following relations is/are correct?

A
1λL3=1λP1+1λB1+1λL1
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B
1λB3=1λP2+1λB1
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C
1λB3=1λB2+1λB1
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D
1λB2=1λB1+1λP1
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Solution

The correct option is D 1λB2=1λB1+1λP1 1λL1=RH(112−122),1λL2=RH(112−132),1λL3=RH(112−142) 1λB1=RH(122−132),1λB2=RH(122−142),1λB3=RH(122−152) 1λP1=RH(132−142),1λP2=RH(132−152) (a) 1λP1+1λB1+1λL1=RH(1−142)=1λL3 (b) 1λP2+1λB1=RH(122−152)=1λB3 (c) 1λB2+1λB1=(222−142−132) (d) 1λB1+1λP1=(122−142)=1λB2

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