The ratio of spacing between the third and fourth orbit to the spacing between sixth andseventh orbit of H-atom is
Question
The ratio of spacing between the third and fourth orbit to the spacing between sixth andseventh orbit of H-atom is
Solution
The spacing between orbits in a hydrogen atom is given by the formula:
r_n = n^2 * a_0
where r_n is the radius of the nth orbit and a_0 is the Bohr radius.
The spacing between the third and fourth orbits is:
r_4 - r_3 = (4^2 * a_0) - (3^2 * a_0) = 7 * a_0
The spacing between the sixth and seventh orbits is:
r_7 - r_6 = (7^2 * a_0) - (6^2 * a_0) = 13 * a_0
Therefore, the ratio of the spacing between the third and fourth orbits to the spacing between the sixth and seventh orbits is 7/13.
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