Atomic StructuremediumMCQ SINGLE

The time period of revolution in the third orbit of Li ion is second. The time period of revolution Atomic Structure Chemistry Question

Question

The time period of revolution in the third orbit of Li$^{2+}$ ion is $x$ second. The time period of revolution in the second orbit of He$^+$ ion, should be

Answer: C

💡 Solution & Explanation

Time period $T \propto \frac{n^3}{Z^2}$. For Li$^{2+}$ ($n=3, Z=3$), $T_1 \propto \frac{3^3}{3^2} = 3 = x$. For He$^+$ ($n=2, Z=2$), $T_2 \propto \frac{2^3}{2^2} = 2$. Therefore, $T_2 = \frac{2}{3} T_1 = \frac{2}{3} x$ s. Therefore, correct answer is C.

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