A proton (mass $m$ and charge $+e$) and an $\alpha -$ particle (mass $4m$ and charge $+2e$) are projected with the same kinetic energy at right angles to the uniform magnetic field. Which one of the following statements will be true
The $\alpha -$ particle will be bent in a circular path with a small radius that for the proton
The radius of the path of the $\alpha -$ particle will be greater than that of the proton
The $\alpha -$ particle and the proton will be bent in a circular path with the same radius
The $\alpha -$ particle and the proton will go through the field in a straight line
If an electron and a proton having same momenta enter perpendicular to a magnetic field, then
An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
$A.$ The electron will experience magnetic force along the axis of the solenoid.
$B.$ The electron will not experience magnetic force.
$C.$ The electron will continue to move along the axis of the solenoid.
$D.$ The electron will be accelerated along the axis of the solenoid.
$E.$ The electron will follow parabolic path-inside the solenoid.
Choose the correct answer from the options given below:
Under the influence of a uniform magnetic field a charged particle is moving in a circle of radius $R$ with constant speed $v$. The time period of the motion
If an electron is going in the direction of magnetic field $\overrightarrow B $ with the velocity of $\overrightarrow {v\,} $ then the force on electron is
A particle having a mass of $10^{- 2} \,kg$ carries a charge of $5 \times 10^{-8}\, C.$ The particle is given an initial horizontal velocity of $10^5\, m/s $ in the presence of electric field $E$ and magnetic field $B.$ To keep the particle moving in a horizontal direction, it is necessary that