A particle of mass m and charge q is projected in a region where an electric field is existing and given by `vecE=E_(o)hat i` with a velocity `v_(o)hat J` from the origin at time t=o then find the radius of curvature (assuming `m^(2)v_(o)^(2)`=2q`E_(o)`m`x_(o)`)

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.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A charge q of mass m enters a region of electric field E=-E_(0)hatj with a velocity v_(0)hati+v_(0)hatj at origin. Find the x coordinate where the charge hits the x axis again. (Neglect effect of gravity)

A particle of mass m is projected upwards with velocity v=(v_(e))/(2) , where v_(e) is the escape velocity then at the maximum height the potential energy of the particle is : (R is radius of earth and M is mass of earth)

A particle of mass m is projected upword with velocity v=(v_(e))/(2) ( v_(e)) escape of the particle is

A particle ( mass = m and charge = q ) is moving in a region in which there exists a uniform electric field E vec( i ) and a uniform magnetic field B hat (k) . At t = 0 , the particle is at ( 0,a ) and is moving with v hat(i) . After some time, the particle is located at ( 2a, 0 ) and has a velocity - 2 v hat( j ) , then which of the following is true ?

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.