Moving Charges ...

A neutron, a proton, an electron and an $\alpha$ particle enters a uniform magnetic field with equal velocities. The field is directed along the inward normal to the plane of the paper. Which of these tracks followed are by electron and $\alpha$ particle ?

An alpha particle and proton have same velocity when enter uniform magnetic field. The period of rotation of proton will be 

A charged particle moves through a magnetic field perpendicular to its direction, then

If the radius of the circle is 0.5 m and the magnitude of the magnetic field is $1.2 W bm^{-2}$, find the frequency and the kinetic energy of the proton. Charge of the proton =$1.60\times 10^{-19}C.$ Mass of the proton = $1.67\times 10^{-27}kg$.

An electron moves straight inside a charged parallel plate capacitor of uniform surface charged density $\sigma$. The length of capacitor plates is $l$. The space between the plates is filled with constant magnetic field of induction $\overrightarrow {B}$. The time of straight line motion of the electron in the capacitor is:

A charged particle $q$ enters a region of uniform magnetic field (out of the page) end is deflected a distance $d$ after travelling a horizontal distance $a$. The magnitude of the momentum of the particle is:

Consider a region where both uniform electric and magnetic fields E and B are present both along the z-axis. A positively charged particle of charge and mass is released from the origin with an initial velocity ${{\text{V}}_e}\hat i$. Which of the following option(s) are correct?

H$^ +$, He$^ +$ and O$^ +$$^ +$ all having the same kinetic energy pass through a region in which there is a uniform magnetic field perpendicular to their velocity. the masses of H$^ +$, He$^ +$ and O$^ +$$^ +$   are 1 a.m.u., 4 a.m.u. and 16 a.m.u. respectively. Then

Two particle, A and B having equal mass from being accelerated through the same potential difference enter a region of uniform magnetic field and particle describe a circular path of radii $R_1$ and $R_2$ respectively. The ratio of the charge on A and B is:

An $\alpha$ - particle crosses a space without any deflection. If electric field E = 8 x $10^{6}$ V/m and magnetic field is B = 1.6 T, the velocity of particle is