A non-uniform magnetic field `vecB=B_(0)(1+ y/d)(-hatk)` is present in the region of space between `y=0` and `y=d`. A particle of mass `m` and positive charge `q` has velocity `vecv=(3qB_(0)d)/mhati` at origin `O`. Find the angle made by velocity of the particle withe the positive `x`-axis when it leaves the field. (Ignore any interaction other than magnetic field)

A non-uniform magnetic field vecB=B_(0)(1+y/d)(-hatk) is present in region of space in between y=0 & y=d .The lines are shown in the diagram.A particle of mass m and positive charge q is moving.Given an initial velocity vecv=v_(0)hati .Find the components of velocity of the particle when it leaves the field.

Magnetic field exist in the space and given as vecB=-(B_(0))/(l^(2))x^(2)hatk , where B_(0) and l positive constants. A particle having positive charge 'q' and mass 'm' is pojected wit speed 'v_(0)' along positive x axis from the origin. What is the maimum distance of the charged particle from the y -axis before it turns back due to the magnetic field. (Ignore any interaction other than magnetic field)

Magnetic field exist in the space and given as vecB=-(B_(0))/(l^(2))x^(2)hatk , where B_(0) and l positive constants. A particle having positive charge 'q' and mass 'm' is pojected wit speed 'v_(0)' along positive x axis from the origin. What is the maimum distance of the charged particle from the y -axis before it turns back due to the magnetic field. (Ignore any interaction other than magnetic field)

There exist uniform magnetic field vec(B)=-B_(0)hatk in region of space with 0ltxltd and 2dltxlt3d as shown in the figure. A positive charged particle of mass m and charge q is projected with velocity vec(v)=vhat(i) as shown in the figure. If radius of curvature of path of the charged particle in magnetic field is R(2dltRlt3d) then time elapse by charged particle in magnetic field regions is

There exist uniform magnetic field vec(B)=-B_(0)hatk in region of space with 0ltxltd and 2dltxlt3d as shown in the figure. A positive charged particle of mass m and charge q is projected with velocity vec(v)=vhat(i) as shown in the figure. If radius of curvature of path of the charged particle in magnetic field is R(2dltRlt3d) then time elapse by charged particle in magnetic field regions is

There exist uniform magnetic field vec(B)=-B_(0)hatk in region of space with 0ltxltd and 2dltxlt3d as shown in the figure. A positive charged particle of mass m and charge q is projected with velocity vec(v)=vhat(i) as shown in the figure. If radius of curvature of path of the charged particle in magnetic field is R(2dltRlt3d) then time elapse by charged particle in magnetic field regions is

A particle of mass m and charge q is projected into a region having a perpendicular magnetic field B. Find the angle of deviation fo the particle as it comes out of the magnetic field if the width d of the regions is very smaller then

A particle of mass m and charge q is projected into a region having a perpendicular magnetic field B. Find the angle of deviation fo the particle as it comes out of the magnetic field if the width d of the regions is very smaller then

A particle of mass m and charge q is projected into a region having a perpendicular magnetic field B. Find the angle of deviation of the particle as it comes out of the magnetic field if ihe width d of the region is (2mv)/(qB)