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Energy Levels

When an elect...

Question

When an electron jumps from a radius n = $\infty$ to n = 2 of hydrogen atom then it radiates energy of the wavelength ___nm. If required, use hc = 1242 eV.nm.

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Solution

The energy of n = 2 state is
$E_{2} = \frac{- 13.6 e V}{4} = - 3.4 e V .$
The energy of n = $\infty$ state is zero. The wavelength emitted in the given transition is
$λ$ = $\frac{h c}{Δ E}$
= $\frac{1242 e V . n m}{3.4 e V} = 365 n m .$

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