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QJEEM20Ph7014: JEE Main 2020 Physics - Class 12 JEEM20Ph7014 Solution: The energy required to ionise a hydrogen like ion in its ground …

The energy required to ionise a hydrogen like ion in its ground state is 9 Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state ?

Multiple Choice Options

  • A 35.8 nm
  • B 11.4 nm
  • C 8.6 nm
  • D 24.2 nm

Step-by-Step Verified Solution

So, ionisation energy = (13.6 Z2) eV

= 9 × 13.6 eV

1λ=RZ2(112−132)

= 1.09 × 107 × 9 × 89

= 11.4 nm

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