Charged particles with different charge to mass ratios are projected into the region of space between the plates of a parallel plate capacitor with velocities directed parallel to the plates. All part

Question

Charged particles with different charge to mass ratios are projected into the region of space between the plates of a parallel plate capacitor with velocities directed parallel to the plates. All particles have received their initial kinetic energy by passing the same potential difference $V_{0}$ . The potential difference across the capacitor plates is V , and the distance between the plates is d . If all the particles are projected from a point that is exactly in the middle of the distance between the plates and ' $ℓ$ ' is the distance travelled (along the direction of initial velocity) by any particle before hitting any of the plate, then $ℓ$ is dependent as (neglect the interaction among the particles and effect of induction) :

TestHub · Accepted Answer

v = M 2 Q V 0 ​ ​ ​ acc. ′ a ′ = M d Q V ​ , 2 d ​ = 2 1 ​ ⋅ a ⋅ t 2 ⇒ t = d Q V M ​ ​ ℓ = v . t ⇒= d V 2 V 0 ​ ​ ​

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