Question 323: Atoms & Nuclei

Question

Which of the following transitions in hydrogen atoms emit photons of highest frequency ?

Accepted Answer

We have no find the frequency of emitted photons. For emission of photons the transition must take place from a higher energy level to a lower energy level which are given only in options $$(c)$$ and $$(d)$$.
Frequency is given by
$$hv =  - 13.6\left( {{1 \over {n_2^2}} - {1 \over {n_1^2}}} ight)$$
For transition from $$n=6$$ to $$n=2,$$
$${v_1} = {{ - 13.6} \over h}\left( {{1 \over {{6^2}}} - {1 \over {{2^2}}}} ight)$$
$$ = {2 \over 9} 	imes \left( {{{13.6} \over h}} ight)$$
For transition from $$n=2$$ to $$n=1,$$
$${v_2} = {{ - 13.6} \over h}\left( {{1 \over {{2^2}}} - {1 \over {{1^2}}}} ight)$$
$$ = {3 \over 4} 	imes \left( {{{13.6} \over h}} ight).$$
$$	herefore$$ $${v_1} > {v_2}$$

Answer

$$n = 1$$ to $$n=2$$

Answer

$$n = 2$$ to $$n=6$$

Answer

$$n = 6$$ to $$n=2$$

Answer

$$n = 2$$ to $$n=1$$

Atoms & Nuclei

Which of the following transitions in hydrogen atoms emit photons of highest frequency ?

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