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
In case Hall effect for a strip having charge $Q$ and area of cross-section $A$, the Lorentz force is
A proton and an alpha particle of the same enter in a uniform magnetic field which is acting perpendicular to their direction of motion. The ratio of the circular paths described by the alpha particle and proton is ....
If a charged particle enters perpendicularly in the uniform magnetic field then
Give definition of magnetic field and give its unit.
A proton (mass $m$ ) accelerated by a potential difference $V$ flies through a uniform transverse magnetic field $B.$ The field occupies a region of space by width $'d'$. If $\alpha $ be the angle of deviation of proton from initial direction of motion (see figure), the value of $sin\,\alpha $ will be