It is teming to think that all possible transituion are permissible and that an atomic spectrum series from the transition of an electron from any intial orbital to any other .However this is not so because a photon a photon has as intrinsic spin angular momentum of `sqrt(2) h// 2pi` corresponding to `S = 1` although it has no charge and no rest mass On the other hand , an electron has got two typwe of agular momentum orbit angular momentum `L = [sqrt(l(l+1))] h//2pi`,and spin angular momentum `L_(1) = sqrt(s(s + 1)) h//2pi` arising from orbital motion and spin motion of the electronn during any electton transition must compentum for the angular momentum carried away by the photon .To salary this condition the different between the azisition quantum number of teh orbital witjhin which the transition `(l = 2)` cannot make a transition into as x-orbital `(l = 0)`because the photon cannot carry away enough angular momentum The maximum orbital angular momentum of an electon with `n = 5` isA. `sqrt(6) (h)/(2pi)`B. `sqrt(12) (h)/(2pi)`C. `sqrt(42) (h)/(2pi)`D. `sqrt(20) (h)/(2pi)`

It is teming to think that all possible transituion are permissible an

1.	It is teming to think that all possible transituion are permissible and that an atomic spectrum series from the transition of an electron from any intial orbital to any other .However this is not so because a photon a photon has as intrinsic spin angular momentum of `sqrt(2) h// 2pi` corresponding to `S = 1` although it has no charge and no rest mass On the other hand , an electron has got two typwe of agular momentum orbit angular momentum `L = [sqrt(l(l+1))] h//2pi`,and spin angular momentum `L_(1) = sqrt(s(s + 1)) h//2pi` arising from orbital motion and spin motion of the electronn during any electton transition must compentum for the angular momentum carried away by the photon .To salary this condition the different between the azisition quantum number of teh orbital witjhin which the transition `(l = 2)` cannot make a transition into as x-orbital `(l = 0)`because the photon cannot carry away enough angular momentum The maximum orbital angular momentum of an electon with `n = 5` isA. `sqrt(6) (h)/(2pi)`B. `sqrt(12) (h)/(2pi)`C. `sqrt(42) (h)/(2pi)`D. `sqrt(20) (h)/(2pi)`
Answer» Correct Answer - D Maximum allowed value of `l = 4` for ` n = 5`1 `:. L = sqrt(4(4 +1)) (h)/(2pi) = sqrt(20)(h)/(2pi)`

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