Question

Different types of charged particles are fired at right angles to a uniform magnetic field with same velocity. The curvature of their circular orbits in the field are proportional to (specific charge)${}^X$, then the value of $X$ is :

• A. $1$
• B. $-1$
• C. $2$
• D. $-2$

Answer 1

The correct option is B $-1$

Radius of charged particle in magnetic field is,
$r=\frac{mV}{qB}$
$r=(\frac{q}{m}{)}^{-1}(\frac{V}{m})$
$\therefore X=-1$