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Grade 12th passModern Physics

The largest wavelength in the uv region of the hydrogen spectrum is 122 nm. the smallest wavelength in the infrared region of the hydrogen spectrum is?
a). 802nm
b). 823nm
c). 1882nm
d). 1648nm

Profile image of I MOHAMED SHINAZ
9 Years agoGrade 12th pass
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1 Answer

Profile image of Vikas TU
9 Years ago
Dear Student,
(B) option seemss corect.
1/l=R(1/n22-1/n­12)
=>1/122=R(1-1/4)
=>1/122=3R/4
=>R=4/3x122

smallest l in the infrared region. n1= infinity
n2=3
Therefore, 1/l = R(1/32-1/infinity)
=R/9
l=9/R=823nm.
Cheers!!
Regards,
Vikas (B. Tech. 4th year
Thapar University)