Q. The working principle of the mass spectrograph is that for a given combination of accelerating potential and magnetic field, the ion beam (with charge $q$ and mass $M$) to be collected at different positions of ion collectors will depend upon the value of
A) $\sqrt{q/M}$
B) $(q/M)^{2}$
C) $q/M$
D) $qM$
Explanation
(c) In mass spectrograph, $\frac{Mv^{2}}{r} = qv\ B'$
and $qE = Bqv$ or $v = \frac{E}{B}$
or $r = \frac{Mv}{B^{'}q} = \frac{M}{B^{'}q}\left( \frac{E}{B} \right) = \frac{ME}{qBB^{'}}$
so $r$ is related with $(q/M)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.