Q44 / 104 · NTA Abhyas (JEE Main) 2020 · Physics · Atomic Physics

For hydrogen atom electron in nth Bohr orbit, the ratio of the radius of orbit to its de-Broglie wavelength is

  • Correct answer
    A
    n2π
  • B
    n22π
  • C
    12πn
  • D
    12πn2

Solution

For nth Bohr orbit,

r= ε0n2h2πmZe2

de-Broglie wavelength

λ=hmv

The ratio of both r and λ, 

 rλ = ε0n2h2πmZe2×mvh

       =ε0n2hvπZe2

But v= Ze22hε0n for nth orbit

Hence, rλ=n2π

Hence, the correct answer is option: 'A'.

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