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લાઇમન શ્રેણીની અને બામર શ્રેણીની પ્રથમ તરંગલંબાઇનો ગુણોત્તર મેળવો.

A

$1:3$

B

$27:5$

C

$5:27$

D

$4:9$

Solution

$\frac{1}{{{\lambda _{{L_1}}}}} = R\,\left[ {\frac{1}{{{1^2}}} – \frac{1}{{{2^2}}}} \right] = \frac{{3R}}{4}\,\,…..(i)$ $\frac{1}{{{\lambda _{{B_1}}}}} = R\,\left[ {\frac{1}{{{2^2}}} – \frac{1}{{{3^2}}}} \right] = \frac{{5R}}{{36}}\,\,…..(ii)$

$\frac{{{\lambda _{{L_1}}}}}{{{\lambda _{{B_1}}}}} = \frac{5}{{27}}$.

Standard 12
Physics

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