A charged particle P enters the region between two parallel plates wit

1.	A charged particle P enters the region between two parallel plates with a velocity u in a direction parallel to the plates. There is a uniform electric field in this region. P emerges from this region with a velocity v. Taking α as a constant, v will depend on u as(a) v = αu(b) v = √(u2 + αu)(c) v = √(u2 + α/u)(d) v = √(u2 + α/u2)
Answer» Correct Answer is: (d) v = √(u² + α/u²) Let l be the length of each plate and u_x = u = constant. ∴ the time of travel between the plates is given by t = l/u. Let a be the constant acceleration in the y-direction. ∴ v_y = at when the particle emerges from the plates. ∴ v² = u_x² + v_y² = u² + a²t² = u² + a² l²/u² = u² + α/u².

A charged particle P enters the region between two parallel plates with a velocity u in a direction parallel to the plates. There is a uniform electric field in this region. P emerges from this region with a velocity v. Taking α as a constant, v will depend on u as(a) v = αu(b) v = √(u2 + αu)(c) v = √(u2 + α/u)(d) v = √(u2 + α/u2)

Answer»

Correct Answer is: (d) v = √(u² + α/u²)

Let l be the length of each plate and u_x = u = constant.

∴ the time of travel between the plates is given by t = l/u.

Let a be the constant acceleration in the y-direction.

∴ v_y = at when the particle emerges from the plates.

∴ v² = u_x² + v_y² = u² + a²t² = u² + a² l²/u² = u² + α/u².

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