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IIT-JEE 2008 · Paper 1, Physics question 43

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Paragraph for Question Nos. 41 to 43

In a mixture of H-He⁺ gas (He⁺ is singly ionized He atom), H atoms and He⁺ ions are excited to their respective first excited states. Subsequently, H atoms transfer their total excitation energy to He⁺ ions (by collisions). Assume that the Bohr model of atom is exactly valid.

The ratio of the kinetic energy of the n=2n=2 electron for the H atom to that of He⁺ ion is

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Answer and worked solution

Official answer: A

Kinetic energy in the Bohr model equals ∣En∣=13.6Z2n2|E_n|=13.6\dfrac{Z^2}{n^2} eV.

For n=2n=2: H gives 3.4 eV and He⁺ (Z=2Z=2) gives 13.6 eV. Ratio 14\frac14.

(A)

Topics:Bohr model and hydrogen spectrum
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