A uniform magnetic field `barB =B_(0)hatj` exists in a space. A particle of mass m and charge q is projected towards negative x-axis with speed v from the a point `(d,0,0)` The maximum value v for which the particle does not hit `y-z` plane is .

A uniform magnetic field B=B_(0)hatj exists in space. A particle of mass m and charge q is projected towards X-axis with speed v from a point (a,0, 0). The maximum value of v for which the particle does not hit the Y-Z plane is

Consider the situation described in the previous example. A particle of mass m having a charge q is placed at a distance d from the metal sheet and is projected towards it. Find the maximum velocity of projection for which the particle does not hit the sheet.

Consider the situation described in the previous example. A particle of mass m having a charge q is placed at a distance d from the metal sheet and is projected towards it. Find the maximum velocity of projection for which the particle does not hit the sheet.

Consider the situation described in the previous example. A particle of mass m having a charge q is placed at a distance d from the metal sheet and is projected towards it. Find the maximum velocity of projection for which the particle does not hit the sheet.

In a certain region, uniform electric field E=-E_0hatk and magnetic field B = B_0hatk are present. At time t = 0 , a particle of mass m and charge q is given a velocity v = v j + v k . Find the minimum speed of the particle and the time when it happens so.

A uniform electric field, underset(E)to=E_(0)hati and a uniform magnetic field, underset(B)to=B_(0)hati exist in region y gt 0. A particle hav- ing positive charge q and mass m is projected from the origin with a velocity underset(V)to=V_(0)hati+V_(0)hatJ. The velocity of the particle when it leaves the region of fields was found to be -underset(V)to. (i) Find the ratio (E_(0))/(B_(0)) in terms of v0. (ii) Find the co-ordinates of the point where the particle leaves the fields. (iii) Find the minimum speed of the particle during the course of the motion.