Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on H e + ions in n = 1 and n = 2…

Radiation coming from transitions n=2 to n=1 of hydrogen atoms fall on He+ ions in n=1 and n=2 states. The possible transition of helium ions as they absorb energy from the radiation is:
  1. n=2⟶n=3
  2. n=2⟶n=4
  3. n=2⟶n=5
  4. n=1⟶n=4

Solution

E=13.6111-122 eV  ...(1)
For Helium:
E=13.6221n12-1n22 eV ...(2)
From equation (1) and (2)
13.6 34=13.6 4 1n12-1n22
1n12-1n22=316
From option, n1=2 and n2=4  are satisfying the equation.

Asked in: JEE Main 2019 (08 Apr Shift 1)

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