Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ . The value…

Hydrogen atom from excited state comes to the ground by emitting a photon of wavelength λ. The value of principal quantum number n of the excited state will be :

( R: Rydberg constant)

  1. λRλ-1
  2. λRλR-1
  3. λλR-1
  4. λR2λR-1

Solution

When an electron jumps from a nth orbit to ground state, using Rydberg formula,

1λ=R1n12-1n22

In this case, n1=1 and n2=n. Therefore,

⇒1λ=R112-1n2⇒n=λRλR-1

Asked in: JEE Main 2022 (25 Jul Shift 2)

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