Q. Which of the following transition in Balmer series for hydrogen will have longest wavelength?

A) $n$=2 to $\ n$=1
B) $n$ =6 to $\ n$=1
C) $n$ =3 to $\ n$=2
D) $n$ =6 to $\ n$=2
Explanation

(c) According to the Bohr’s theory the wavelength of radiations emitted from hydrogen atom given by
$\ \ \ \ \ \ \ \ \ \ \ \ \ \frac{1}{\lambda} =$ $R\left\lbrack \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right\rbrack \Rightarrow \lambda = \frac{n_{1}^{2}n_{2}^{2}}{\left( n_{2}^{2}n_{1}^{2} \right)R}$
For maximum wavelength if$n_{1} = n,$then $n_{2} = n + 1$
$\therefore\ \lambda\ is\ maximumforn_{2} = 3\ and\ n_{1} = 2.$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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