Question

A proton and an $\alpha$ particle having equal kinetic energy are projected in a uniform transverse electric field as shown in figure

• A. Proton trajectory is more curved
• B. $\alpha$ particle trajectory is more curve
• C. Both trajectories are equally curved but in opposite direction
• D. Both trajectories are equally curved and in same direction

Answer 1

The correct option is A Proton trajectory is more curved

Equal kinetic energy.

But the trajectory will depend on $acceleration$ which is $F=\frac{qE}{m}$ Which is $\frac{eE}{m_p}$ for proton and $\frac{2eE}{4m_p}=\frac{eE}{2m_p}$ for $\alpha$ particle.

$E$ is electric field , $q$ is charge and $m_p$ is mass of $one$ proton.

$\text{As they are opposite in charge so opposite direction and proton having more acceleration will show}$

$\text{more curved trajectory.}$

Option A is correct.