A charged particle is projected in a magnetic field `vec(B)=10hat(k)T` from the origin in `x-y` plane. The particle moves in a circle and just touches a straight line `y=5(m)` at `x=5sqrt(3)(m)`. Then ( mass of particle `=5xx10^(5-)kg`, charge `=1 mu C )`

A charged particle projected in a magnetic field B=(3hati+4hatj)xx10^-2T The acceleration of the particle is found to be a=(xhati+2hatj)m/s^2 find the value of x

Charged particle is projected in a magnetic field of (7hat i-3hat j) times 10^(-3) T . The acceleration of the particle is found to be (xhat i+7hat j) times 10^(-3)m/sec^(2) .The value of x is

An a particle is moving in a magnetic field of (3 hat(i) + 2 hat (j)) tesla with a velocity of 5xx10^(5) hat (i) m/s. The magnetic force acting on the particle will be-

A particle moves in x-y plane according to equations x = 4t^(2)+5t and 6y=5t The acceleration of the particle must be

A charged particle is moving in a magnetic field of strength B perpendicular to the direction of the field. If q and m denote the charge and mass of the particle respectively, then the frequency of rotation of the particle is

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 .

A particle is moving in X-Y plane that x=2t and y=5sin(2t). Then maximum speed of particle is:

The co-ordinates of a moving particles at a time t , are give by, x = 5sin 10t, y = 5 cos 10t . The speed of the particle is:

A charged particle of mass m is moving with a speed u in a circle of radius r. If the magnetic field induction at the centre is B, the charge on the particle is