A positive charged particle `P` enters the region between two parallel plates with a velocit `u`, in a direction parallel to the plates. There is a uniform electric field in the region. `P` emerges from this region with a velocit `v`. Taking C as a constant `v` will depend on `u` as

Options

A. `v=Cu`
B. `v=sqrt(u^(2)+Cu)`
C. `v=sqrt(u^(2)+C/u)`
D. `v=sqrt(u^(2)+C/(u^(2)))`

Explanation

(d) `u_(x)\u,t=l/u`
`implies a_(y)=(Eq)/m=aimpliesv_(y)=at=(al)/u`
`impliesv^(2)=u^(2)+(a^(2)l^(2))/(u^(2))=u^(2)+C/(u^(2))impliesv=sqrt(u^(2)+C/(u^(2)))`