A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in fig). [2023]

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Solution

Q.
A uniform electric field of 10 N/C is created between two parallel charged plates (as shown in fig). An electron enters the field symmetrically between the plates with a kinetic energy 0.5 eV. The length of each plate is 10 cm. The angle $(θ)$ of deviation of the path of electron as it comes out of the field is ________ (in degree). [2023]

Ans.
(45)

$l = u t$

$t = \frac{l}{u}$

$\tan θ = \frac{v_{y}}{u} = \frac{a t}{u} = \frac{E q}{m} \frac{l}{u^{2}} = \frac{E q l}{2 (\frac{1}{2} m u^{2})} = \frac{E q l}{2 K.E.}$

$\tan θ = \frac{10 \times 1.6 \times 10^{- 19} \times 0.1}{2 \times 0.5 \times 1.6 \times 10^{- 19}} = 1 \Rightarrow θ = 45 °$

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