If a is the radius of first Bohr orbit in a hydrogen atom, the radius of the third orbit is

Question

If a is the radius of first Bohr orbit in a hydrogen atom, the radius of the third orbit is, 3 a, 9 a, 27 a, 81 a

MARKS App · Accepted Answer

Radius of Bohr orbit is given by r n = ε 0 h 2 π m e 2 n 2 The quantities in the bracket are constant ∴ r n ∝ n 2 The expression gives the radius of the nth Bohr orbit r 1 r 2 = n 1 2 n 2 2 a r 2 = 1 3 2 r 2 = 9 a

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