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Question: The radius of hydrogen atom in its ground state is 5.3 × 10<sup>–11</sup> m. After collision with an...

The radius of hydrogen atom in its ground state is 5.3 × 10–11 m. After collision with an electron it is found to have a radius of 21.2 × 10–11 m. What is the principal quantum number n of the final state of the atom ?

A

n = 4

B

n = 2

C

n = 16

D

n = 3

Answer

n = 2

Explanation

Solution

r µ n2

5.3×101121.2×1011\frac{5.3 \times 10^{–11}}{21.2 \times 10^{–11}} = 1n2\frac{1}{n^{2}}

n2 = 4 , n = 2