An electron collides with a hydrogen atom in its ground state and excites it to $n = 3$ . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

10.2 e V

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12.1 e V

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12.5 e V

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None of these

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Solution

The correct option is C $12.1 e V$
Energy at ground state $E_{1} = - 13.6 e V$
Energy at $n = 3$ : $E_{3} = \frac{- 13.6}{9} = 1.5 e V$
To excite it to $n = 3$ energy given to electron is $E_{3} - E_{1} = 12.1 e V$

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An electron collides with a hydrogen atom in its ground state and excites it to n=3. The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

The correct option is C 12.1 eVEnergy at ground state E1=−13.6 eVEnergy at n=3: E3=−13.69=1.5 eVTo excite it to n=3 energy given to electron is E3−E1=12.1 eV

An electron collides with a hydrogen atom in its ground state and excites it to $n = 3$ . The energy given to hydrogen atom in this inelastic collision is [Neglect the recoiling of hydrogen atom]

The correct option is C $12.1 e V$
Energy at ground state $E_{1} = - 13.6 e V$
Energy at $n = 3$ : $E_{3} = \frac{- 13.6}{9} = 1.5 e V$
To excite it to $n = 3$ energy given to electron is $E_{3} - E_{1} = 12.1 e V$