There is a uniform electric field of strength `10V/m` along y-axis. A body of mass `1g` and charge `10^(-1)C` is projected into the field from origin along the positive `x` -axis with a velocity `10m/s` .Its speed in `m/s` after `10s` is (neglect gravitation)

There is a uniform electric field of strength 10^(3)V//m along y -axis. A body of mass 1g and charge 10^(-6)C is projected into the field from origin along the positive x -axis with a velocity 10 m//s . Its speed in m//s after 10 s is (Neglect gravitation)

In the XY- plane , the region y gt 0 has a uniform magnetic field B_1 hatk and the region y lt 0 has another uniform magnetic field B_2 hatk . A positively charged particle is projected from the origin along the positive y- axis with speed v_0= pi m s^(-1) at t=0 , as shown in the figure . Neglect gravity in this problem . Let t=T be the time when the particle crosses the X- axis from below for the first time . If B_2 = 4B_1 , the average speed to the particle , in ms^(-1) , along the x- axis in the time interval T is __________ .

There exist uniform magnetic and electric fields of manitudes 1T and 1Vm^-1 respectively, along positive y-axis. A charged particle of mass 1kg and charge 1C is having velocity 1ms^-1 along x-axis and is at origin at t=0. Then, the coordinates of the particle at time pis will be

There exist uniform magnetic and electric fields of manitudes 1T and 1Vm^-1 respectively, along positive y-axis. A charged particle of mass 1kg and charge 1C is having velocity 1ms^-1 along x-axis and is at origin at t=0. Then, the coordinates of the particle at time pis will be

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic. field of strength B is also switched on along positive y-axis. x-coordinate of the particle as a function of time after the magnetic field is switched on is

In a certain region of space, there exists a uniform and constant electric field of magnitude E along the positive y-axis of a coordinate system. A charged particle of mass m and charge -q (qgt0) is projected form the origin with speed 2v at an angle of 60^@ with the positive x-axis in x-y plane. When the x-coordinate of particle becomes sqrt3mv^2//qE a uniform and constant magnetic field of strength B is also switched on along positive y-axis. Velocity of the particle just before the magnetic field is switched on is

A particle of mass 50 g is projected horizontally from the top of a tower of height 50 m with a velocity 20m//s . If g=10m//s^(2) , then find the :-

An electric field is acting vertically upwards . A particle of mass 1 mg and charge -1 mu C is projected with a velocity 20m//s at an angle 45^(@) with the horizontal . Its horizontal range is 10 m, then the intensity of electric field is (g= 10 m//s^(2))

In a certain region of space, there exists a uniform and constant electric field of strength E along x-axis and uniform constant magnetic field of induction B along z-axis. A charge particle having charge q and mass m is projected with speed v parallel to x-axis from a point (a, b, 0). When the particle reaches a point( 2a, b//2 , 0) its speed becomes 2v. Find the value of electric field strength in term of m, v and co-ordinates.

A charge of 10^(-10C is placed at the origin. The electric field at (1, 1) m due to it (in NC^(-1) ) is