A uniform electric field of 10 N/C is created between two parallel charged plates as shown in figure. An electron enters symmetrically between the plates with kinetic energy 0.5 eV. The length of each plate is 10 cm. The angle θ of deviation of the path of electron as it comes out of the field i $s ___$ degrees.

Question

G1 Physics · Accepted Answer

From 0.5 eV = (1/2)mₑvₓ², vₓ = √(e/mₑ). Time inside field t = L/vₓ. The transverse speed is vᵧ = (eE/mₑ)t. Hence tanθ = vᵧ/vₓ = EL = 10×0.1 = 1, so θ = 45°.