AP EAMCET202420 May 2024Morning ShiftPhysicsDual Nature of MatterActual
An electron of mass ' m ' with initial velocity v =v₀ i (v₀ 0 ) enters in an electric field E =- E ₀ i [ E ₀ . is constant . 0 ] at t=0 . If is its de-Brogli wavelength initially, then the de-Brogli wave length after time ' t ' is
Options
- A1+ e E _o t m v₀
- B(1- e E _o t m v₀ )^2
- C(1- e E _o t m v₀ )
- D(1+ e E _o t m v₀ )^2
Correct answer
A. 1+ e E _o t m v₀
Step-by-step solution
v₁ =v₀ i , E =-E₀ i , ₁= Acceleration of electron, a = F m = - e E m = ( eE _ o m ) i Velocity after time t is v₂ = v₁ + a t=v₀ i + ( e E₀ t m ) i = (v₀+ e E₀ t m ) i de-Broglie wavelength of electron, = h mv 1 v ₂ ₁ = v ₁ v ₂ = v _ o v _ o + eE ₀ t m ₂= ₁ (1+ eE ₀ t mv ₀ ) = (1+ eE ₀ t mv _ o )