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  • The radius of the innermost electron orbit of a hydrogen atom is 5.3×10^–11 m. What are the radii of the n = 2 and n =3 orbits?

Q 12.8  The radius of the innermost electron orbit of a hydrogen atom is 5.3 \times 10 ^{-11}m. What are the radii of the n = 2 and n =3 orbits?

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The radius of the orbit is proportional to the square of n.

For n=2 the radius of the orbit is

\\r_{2}=r_{1}\times 2^{2}\\ =5.3\times 10^{-11}\times 4\\ =2.12\times 10^{-10}\ m

For n=3 the radius of the orbit is

\\r_{3}=r_{1}\times 3^{2}\\ =5.3\times 10^{-11}\times 9\\ =4.77\times 10^{-10}\ m

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