Q. Velocity ratio of the two cathode rays 1.2. They are applied to the same electric field. What is the deflection ratio of the two cathode rays
A) 1 :2
B) 1 :4
C) 4 :1
D) 8 :1
Explanation
(a) $\frac{u_{1}}{u_{2}} = \frac{1}{2}$
Accelerations of cathode rays in electric field, $\overrightarrow{a} = \frac{eE}{m}$
It is same for both the cathode rays
As displacement, $s = ut + \frac{1}{2}at^{2}$
So for a given value of $a$ and $t,\ s \times u$
$So,\frac{s_{1}}{s_{2}} = \frac{u_{1}}{u_{2}} = \frac{1}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.