A particle having a charge `q=1C` and mass `m=0.5kg` is projected on a rough horizontal plane `(x,y)` from a point `(15m,0,0)` with a initial velocity `vec(v)=20j`. In space a uniform electric field `vec(E)=25(-hat(k))` and magnetic filed `vec(B)=10(-hat(k))`. The acceleration due to gravity `g=10sec^(-2)` and co`-` efficient of friction `mu=0.5` . The particle moves on a spiral path and reaches to the origin . The time taken by particle to reach origin is found `yxx10sec`. Find `y`.

An alpha particle moving with the velocity vec v = u hat i + hat j ,in a uniform magnetic field vec B = B hat k . Magnetic force on alpha particle is

An alpha particle moving with the velocity vec v = u hat i + hat j ,in a uniform magnetic field vec B = B hat k . Magnetic force on alpha particle is

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . The time after which particle comes to rest, is

In a region, an electric field vec(E )= 5 xx 10^(3) hat(j) NC^(-1) and a magnetic field of vec(B)= 0.1 hat(K)T are applied. A beam of charged particles are projected along X-direction. Find the velocity of charged particles which move an deflected in this crossed fields.

A particle of specific charge 'alpha' is projected from origin at t=0 with a velocity vec(V)=V_(0) (hat(i)-hat(k)) in a magnetic field vec(B)= -B_(0)hat(k) . Then : (Mass of particle =1 unit)

A portion is fired from origin with velocity vec(v) = v_(0) hat(j)+ v_(0) hat(k) in a uniform magnetic field vec(B) = B_(0) hat(j) . In the subsequent motion of the proton

A portion is fired from origin with velocity vec(v) = v_(0) hat(j)+ v_(0) hat(k) in a uniform magnetic field vec(B) = B_(0) hat(j) . In the subsequent motion of the proton

A charged particle of mass m and charge q is projected on a rough horizontal XY plane. Both electric and magnetic fields are given by vec(E)=-10hat(k)N//C and magnetic field vec(B)=-5vec(k) tesla are present in the region. The particle enters into the magnetic field at (4,0,0)m with a velocity 50vec(j) m//sec . The particle starts into a curved path on the plane. If coefficietn of friction mu=(1)/(3) between particle and plane, then (qE=2mg,g=10m//s^(2)) . Radius of curvature of the path followed by particle, initially is