A charged particle of charge `10mC` enters a uniform magnetic field of induction `bar(B)=4hat(i)+yhat(j)+zhat(k)` tesla with a velocity `bar(V)=2hat(i)+3hat(j)-6hat(k)`. If the particle continues to move undeviated then the strength of the magnetic field induction in tesla

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 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

If a particle of charge 1 muC is projected into a magnetic fiels vec(B)=(2hat(i)+yhat(j)-zhat(k))T with a velocity vec(V)(4hat(i)+2hat(j)-6hat(k))ms^(-1) , then it passes undeviated. If it is now projected with a velocity vec(V)=hat(i)+hat(j) , then find the force experienced by it

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. The pitch of the helical path of the motion of the particle will be

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. The frequency (in Hz) of the revolution of the particle in cycles per second will be

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. The frequency (in Hz) of the revolution of the particle in cycles per second will be

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. The pitch of the helical path of the motion of the particle will be