Home
Class 12
PHYSICS
A uniform magnetic field B=B(0)hatj exis...

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

A

`(2Bq)/(dm)`

B

`(Bqd)/(m)`

C

`(Bq)/(2dm)`

D

`(Bqd)/(2m)`

Text Solution

Verified by Experts

The correct Answer is:
B
`R le d implies (mV)/(qB) le d`
`V le (Bqd)/(m) implies V_(max)=(Bqd)/(m)` .
Promotional Banner

Similar Questions

Explore conceptually related problems

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.

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charge particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point 2a, b//2 , 0 its speed becomes 2v. Find the value of electric field strength of m, v and co-ordinates.

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 in and charge q is given a velocity v = v-0hatj + v-0hatk . Find the minimum speed of the particle and the time when it happens so.

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. z-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. x-coordinate of the particle as a function of time after the magnetic field is switched on is