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KVPY2016PhysicsDual Nature of Matter

A photon of wavelength is absorbed by an electron confined to a box of length 35 ~h / 8 mc . As a result, the electron makes a transition from state k =1 to the state n . Subsequently the electron transits from the state n to the state m by emitting a photon of wavelength ^ =1.85 . Then

Options

  1. An =4 ; m =2
  2. Bn =5 ; m =3
  3. Cn =6 ; m =4
  4. Dn=3 ; m =1 .

Correct answer

C. n =6 ; m =4

Step-by-step solution

KE of e ⁻= hc array l _ de-broglie = h 2 mKE = h 2 ~m hc = h 2 mc m ₀ _ debroglie 2 = m ₀ 2 h 2 mc = 35 ~h 8 mc m ₀ 2 2 = 35 2 2 ~m ₀= 35 =5.8 6 array i.e. e ⁻ get excite to state 6 . n =6

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