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How many times larger is the spacing between the energy levels with n = 3 and n = 4, than the spacing between the energy levels with n = 8 and n = 9 for a hydrogen like atom or ion?

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answer is 2.

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Detailed Solution

Radius of hydrogen atom in nth energy state is, rn = ro.n2The required ratio = r4−r3r9−r8 = 42−3292−82=717=0.411.

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How many times larger is the spacing between the energy levels with n = 3 and n = 4, than the spacing between the energy levels with n = 8 and n = 9 for a hydrogen like atom or ion?