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A hydrogen atom in the ground state is e...

A hydrogen atom in the ground state is excited by monochromatic ratiation of wavelength `lambda Å` . The resulting spectrum consists of maximum 15 different lines. What is the wavelength `lambda` ? `(R_H = 109677.8 cm^(-1))`

A

`937.3 Å`

B

`1025 Å`

C

`1236 Å`

D

`1120 Å`

Text Solution

Verified by Experts

The correct Answer is:
A

No. of spectral lines `(n(n-1))/(2) = 15 implies n = 6`
`bar(upsilon) = 1/(lambda) = R(1/1 - 1/(36)) = (35R)/(36)`
`lambda =(36)/(35R) = 937.3A^@`
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