According to the Bohr atom model,in which of | vedclass

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(B) The energy of a photon emitted during a transition is given by $\Delta E = h
u = 13.6 	ext{ eV} \left[ \frac{1}{n_1^2} - \frac{1}{n_2^2} ight]

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$n = 2$ to $n = 1$

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(B) The energy of a photon emitted during a transition is given by $\Delta E = h
u = 13.6 	ext{ eV} \left[ \frac{1}{n_1^2} - \frac{1}{n_2^2} ight]$.Since $
u = \frac{\Delta E}{h}$,the frequency $
u$ is maximum when the energy difference $\Delta E$ is maximum.Comparing the energy gaps:For $n = 4$ to $n = 3$: $\Delta E = 13.6 \left( \frac{1}{9} - \frac{1}{16} ight) \approx 0.66 	ext{ eV}$.For $n = 2$ to $n = 1$: $\Delta E = 13.6 \left( \frac{1}{1} - \frac{1}{4} ight) = 13.6 	imes 0.75 = 10.2 	ext{ eV}$.For $n = 5$ to $n = 4$: $\Delta E = 13.6 \left( \frac{1}{16} - \frac{1}{25} ight) \approx 0.31 	ext{ eV}$.For $n = 3$ to $n = 2$: $\Delta E = 13.6 \left( \frac{1}{4} - \frac{1}{9} ight) \approx 1.89 	ext{ eV}$.The transition from $n = 2$ to $n = 1$ results in the largest energy change,hence the maximum frequency.

According to the Bohr atom model,in which of the following transitions will the frequency be maximum?

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