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How many times larger is the spacing bet...

How many times larger is the spacing between the energy levels with n=3 and n=4,then the spacing between the energy levels with n=8 and n=9 for a hydrogen like atom or ion?

A

`0.71`

B

`0.41`

C

`2.43`

D

`14.82`

Text Solution

Verified by Experts

The correct Answer is:
B
`(r_(4)-r_(3))/(r_(9)-r_(8))=(r_(1)times4^(2)-r_(1)times3^(2))/(r_(1)times9^(2)-r_(1)times8^(2))=(16-9)/(81-64)=0.41`
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