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Escape velocity for earth is 11.2 km/s. The orbit number for H-atom in which speed of electron is abAtomic Structure Chemistry Question

Question

Escape velocity for earth is 11.2 km/s. The orbit number for H-atom in which speed of electron is about 19.54 times the escape velocity is

Answer: C

💡 Solution & Explanation

Target speed $= 19.54 \times 11.2$ km/s $\approx 218.8$ km/s $= 2.188 \times 10^5$ m/s. Speed in H-atom $v_n = \frac{2.188 \times 10^6}{n}$ m/s. Equating the two: $\frac{2.188 \times 10^6}{n} = 2.188 \times 10^5 \implies n = 10$. Therefore, correct answer is C.

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