If electron velocity is `(2 hat(i) + 3 hat(j))` and it is subjected to a magnetic field 4 K then

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

A spacecraft at hat(i) + 2hat(j) + 3hat(k) is subjected to a force lamda hat(k) by firing a rocket. The spacecraft is subjected to a moment of magnitude.

An electron enters an electric field having intensity vec(E )= (3 hat(i) + 6hat(j) +2 hat(k)) Vm^(-1) and magnetic field having induction vec(B)= (2 hat(i) + 3hat(j)) T with a velocity vec(V)= (2 hat(i) + 3hat(j)) ms^(-1) . The magnitude of the force acting on the electron is (Given e= -1.6 xx 10^(-19)C )

A spacecraft at hat(i)+2hat(j)+3hat(k) is subjected to a force lambda hat(k) by firing a rocket. The spacecraft is subjected to a moment of magnitude

A "bar" magnet of moment bar(M)=hat(i)+hat(j) is placed in a magnetic field induction vec(B)=3hat(i)+4hat(j)+4hat(k) . The torque acting on the magnet is

The velocity of particle is 3hat(i) +2hat(j)+3hat(k) . Find the vector component of the velocity along the line hat(i) -hat(j)+hat(k) .

A plane mirror is moving with velocity 4 (hat i) + 5 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A charged particle has acceleration vec a = 2 hat i + x hat j in a megnetic field vec B = - 3 hat i + 2 hat j - 4 hat k. Find the value of x.