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Dual Nature of Radiation question

2020 · 8 Jan · Shift 2 · Q41
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Dual Nature of Radiation question

2020 · 8 Jan · Shift 2 · Q41

JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
An electron (mass m) with initial velocity v→=v0i^+v0j^\overrightarrow v = {v_0}\widehat i + {v_0}\widehat jv=v0​i+v0​j​ is in an electric field E→=−E0k^\overrightarrow E = - {E_0}\widehat kE=−E0​k. If λ0\lambda _0λ0​ is initial de-Broglie wavelength of electron, its de-Broglie wave length at time t is given by :
  1. A
    λ01+e2E2t2m2v02{{{\lambda _0} } \over {\sqrt {1 + {{{e^2}{E^2}{t^2}} \over {{m^2}v_0^2}}} }}1+m2v02​e2E2t2​​λ0​​
  2. B
    λ021+e2E2t2m2v02{{{\lambda _0}\sqrt 2 } \over {\sqrt {1 + {{{e^2}{E^2}{t^2}} \over {{m^2}v_0^2}}} }}1+m2v02​e2E2t2​​λ0​2​​
  3. C
    λ01+e2E2t22m2v02{{{\lambda _0} } \over {\sqrt {1 + {{{e^2}{E^2}{t^2}} \over {2{m^2}v_0^2}}} }}1+2m2v02​e2E2t2​​λ0​​
  4. D
    λ02+e2E2t2m2v02{{{\lambda _0}} \over {\sqrt {2 + {{{e^2}{E^2}{t^2}} \over {{m^2}v_0^2}}} }}2+m2v02​e2E2t2​​λ0​​
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