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Q.

Heat treatment of muscular pain involves radiation of wavelength of about 900 nm. Which spectral line of H-atom is suitable for this purpose
[RH = 1x 105cm-1,h = 6.6x10-34 Js, c = 3 x 108ms-1 ]

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a

Paschen, 5 3

b

Paschen,  3

c

Lyman,  1

d

Balmer,2

answer is B.

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Detailed Solution

The wavelength of visible range is 360-720 nm, so wavelength of given radiation is in IR region. So, the line must not belong to Lyman and Balmer series.
1λ=RH[19-12]=RH9
λ=9RH=9105cm=9×10-7m =900 nm
So, given spectral line of H-atom is ∞→33 , Paschen series

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