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Please explain why B is the incorrect statement and why the other statements are

ID: 909815 • Letter: P

Question

Please explain why B is the incorrect statement and why the other statements are correct?

1. Consider the figure shown below to the right for a hydrogen atom and choose the incorrect statement. A. The energy change in transitions 1 and 3 are negative while transition 2 has a positive energy change. B. Transition 1 will have a longer wavelength than transition 3. C. Both transitions 2 and 3 belong to the Balmer series. D. If transition 3 fails in the visible region, then transition 1 could belong to the UV region.

Explanation / Answer

The incorrect statement is B. Transition 1 will have longer wavelength than transition 3.

Explanation:

Statement A is correct as transitions 1 and 3 are from higher energy to lower energy, involving loss of energy thus negative energy change. Transition 2 is from lower energy to higher energy, thus it is there is gain of energy and hence positive energy change.

Statement B is incorrect as transition 1 in given series is fourth line in lyman series having wavelength around 95nm. transition 3 is the first line in balmer series having wavelength around 656.3nm. Thus, transition 1 has shorter wavelength than transition3.

Statement C is correct. Balmer series involves transitions between n = 3 or more to n = 2. Transition 3 in the given figure belongs to Balmer series as it involves transition from n = 3 to n =2. Transition 2 in the given figure involves transition from n = 2 to n = 4, thus, this also belongs to Balmer series.

Statement D is correct. Energy difference in transition 1 is more than that in transition 3. Thus, wavelength of transition 1 will be shorter than that of transition 3. Thus, if transition 3 belongs to visible region then transition 1 could belong to UV region.