A large flat metal surface has a uniform charge density + σ . An electron of mass m and charge ρ leaves the surface at the point A with speed u and returns to it at point B . Disregarding gravity the maximum value of AB is

Question

A large flat metal surface has a uniform charge density + σ . An electron of mass m and charge ρ leaves the surface at the point A with speed u and returns to it at point B . Disregarding gravity the maximum value of AB is, 4u 2 m ε 0 σ ρ, u 2 ⋅ ρ ε 0 m σ, 2 ε 0 m u 2 ρ σ, u 2 σ ρ ε ⋅ m

MARKS App · Accepted Answer

Electric field due to one surface of the large metal plate, The projected electron's motion will be on a curved path like a projectile. ∴ AB will be maximum when θ = 45 ° Range A B m a x = u 2 a a = ρ E m = ρ​ σ 2 ε 0 m = u 2 ρ σ 2 ε 0 m = 2 ε 0 m u 2 ρ σ

Search any question & find its solution

Looking for more such questions to practice?