There is an infinite line of uniform linear density of charge `+lamda`. A particle of charge `-q` & mass `m` is projected with initial velocity `v_(0)` at an angle `theta` with the line of charge from a distance `a` from it. The point charge moves in plane containing line charge and point of projection The speed of the particle of found to be minimum when it's distance from the line of charge is `ae^((npimepsi_(0)^(2)0//qlamda))`. The value of n is (ingnore gravity)

There is an infinite line of uniform linear density of charge +lamda . A particle of charge -q & mass m is projected with initial velocity v_(0) at an angle theta with the line of charge from a distance a from it. The point charge moves in plane containing line charge and point of projection The speed of the particle of found to be minimum when it's distance from the line of charge is ae^((npimepsilon_(0)^(2)//qlamda)) . The value of n is (ingnore gravity)

A particle of charge q is projected from point P with velocity v as shown. Choose the correct statement from the following.

A particle of charge q is projected from point P with velocity v as shown. Choose the correct statement from the following.

A positive point charge is released from rest at a distance r _ 0 from a positive line charge with uniform density. The speed (v) of the point charge, as a function of instantaneous distance r from line charge, is proportional to:

A charged particle of mass m and charge q is projected with velocity nu making in angle theta with the direction of a uniform magnetic field of induction B. Find the expression for- Pitch of the helical path followed by the particle.

A positive charge is released from rest at a distance r_(0) from a positive line charge with uniform density . The speed (v) of the point charge , as a function of instantaneous distance r from line charge, is proportional to:

An infinite line cahrge is perpendicular to the plane of the figure having linear charge density lamda , A partcle having charge Q and mass m is projected in the field of the line cahrge fromo point P. the point P is at a distance R from the line cahrge and velocity given tot he particle is perpendicular tot he radial line at P (see figure) (i). Find the speed of the particle when its distance from the line cahrge grows the etaR(eta gt 1) (ii). Find the velocity component of the particle along the radial line (joining the line charge to the particle) at the instant its distance becomes etaR .

The electric field at distance .r. from infinte line of charge ("having linear charge density" lambda) is