In a Bohr's model of an atom, when an electron jumps from n = 1 to n = 3, how much energy will be absorbed?

Question

In a Bohr's model of an atom, when an electron jumps from n = 1 to n = 3, how much energy will be absorbed?, 2.389 × 1 0 - 12 ergs, 0.239 × 1 0 - 10 ergs, 2.15 × 1 0 - 11 ergs, 0.1936 × 1 0 - 10 ergs

MARKS App · Accepted Answer

Energy of an atom when n = 1 E 1 = - 1312 ( 1 ) 2 = - 1312 kJ mo l - 1 Similarly energy when n = 3 , E 3 = - 1312 ( 3 ) 2 = - 145.7 kJ mo l - 1 The energy absorbed when an electron jumps from n = 1 to n = 3 E 3 - E 1 = - 145.7 - - 1312 = 1166.3 kJ mo l - 1 = 1166.3 6.023 × 1 0 23 = 193.6 × 1 0 - 23 k J = 193.6 × 1 0 - 20 J 1 Joule = 1 0 7 ergs 193.6 × 1 0 - 13 e r g s = 0.1936 × 1 0 - 10 e r g s

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