ElectrostaticsHard

Question

An electron of mass m with an initial velocityV→=Voi^Vo>Oenters an electric fieldE→=-Eoi^ (E0 = constant >0) at t = 0. If λois its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is :-

Options

A.

λo1+eEomVot

B.

λo1+eEOmVot

C.

λot

D.

λo

Solution

V→=Voi^E→=-Eoi^a→=F→m=qE→m=-e-Eoi^ma→=eEomi^
V = u + at
V=Vo+eEomtλ=hmv=hmVo+eEo tm=hmVo1+eEo tmVo=λo1+eEo tmVo

Create a free account to view solution

View Solution Free
Topic: Electrostatics·Practice all Electrostatics questions

More Electrostatics Questions

A semicircular ring of radius 0.5 m is uniformly charged with a total charge of 1.5 × 10-9 coul. The electric poten...Two charges + q and + q are r distant apart. The force between them is F. If one is fixed and other rotates in circle of...A uniform electric field having a magnitude E0 and direction along positive X-axis exists. If the electric potential V i...The rupture of air medium occurs at E = 3 × 106 V/m. The maximum charge that can be given to a sphere of diameter 5...An EM wave from air enters a medium. The electric fields are E→1=E01x^cos2πνzc-t in air and E→1=E01x^cosk2z-ct...