A charge `4 muC` enters in a region of uniform magnetic field with a velocity `(4 hat(i) - 7 hat(j))` m/s experiences a force `(5 hat(i) - C hat(j)) N`. Find the value of C.

If hat(i)+2hat(j)+nhat(k) is perpendicular to 4hat(i)+2hat(j)+2hat(k) then find the value of n ?

A charged particle moving in a magnetic field vec(B) = hat(i) - hat(j) tesla, has an acceleration of 2 hat(i) + alpha hat(j) at some instant. Find the value of alpha

A charged particle of specific charge (i.e charge per unit mass) 0.2 C/kg has velocity 2 hat(i) - 3 hat(j) (m/s) at some instant in a uniform magnetic field 5 hat(i) + 2 hat(j) (tesla). Find the acceleration of the particle at this instant

If the vectors 2 hat(i) - q hat(j) + 3 hat(k) and 4 hat(i) - 5 hat(j) + 6 hat(k) are collinear then find the value of q.

A charge particles q enters in a magnetic field vec(B)=y hat(i) + x hat (j) with the velocity vec(v)= x hat (i) y hat (j) . Neglect any force other than magnetic force. Now answer the following question. Magnetic force F acting on charge is proportional to –

A charge particles q enters in a magnetic field vec(B)=y hat(i) + x hat (j) with the velocity vec(v)= x hat (i) y hat (j) . Neglect any force other than magnetic force. Now answer the following question. Which of the following is true for the direction of magnetic force ?

A charge particle having charge 2 coulomb is thrown with velocity 2hat(i) + 3 hat(j) inside a region having vec(E) = 2 hat(j) and magnetic field 5 hat(k) . Find the initial Lorentz force acting on the particle

Two particles having position vectors vec(r )_(1) = ( 3 hat(i) + 5 hat(j)) meters and vec( r)_(2) = (- 5 hat(i) - 3 hat(j)) metres are moving with velocities vec(v)_(1) = ( 4 hat(i) + 3 hat(j)) m//s and vec(v)_(2) = (alpha hat(i) + 7 hat(j)) m//s . If they collide after 2 s , the value of alpha is

A charged particle with charge to mass ratio ((q)/(m)) = (10)^(3)/(19) Ckg^(-1) enters a uniform magnetic field vec(B) = 20 hat(i) + 30 hat(j) + 50 hat(k) T at time t = 0 with velocity vec(V) = (20 hat(i) + 50 hat(j) + 30 hat(k)) m//s . Assume that magnetic field exists in large space. During the further motion of the particle in the magnetic field, the angle between the magnetic field and velocity of the particle