electric-charges-and-fields Question 45

Question: Q. 2. An electron falls through a distance of 1.5 cm in a uniform electric field of magnitude 2.0×104 N/C

(a)

Calculate the time it takes to fall through this distance starting from rest.

If the direction of the field is reversed (fig. b) keeping its magnitude unchanged, calculate the time taken by a proton to fall through this distance starting from rest. A&E [OD Comptt. I, II, III 2018]

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Solution:

Ans. Relevant formulae 1

Calculation of time taken by the electron Calculation of time taken by the proton We have

Force =qE

Acceleration

a=qEm

Also

s=12at2 as u=0 t=2sa

(i) For the electron

(ii) for proton

=2.92 ns

t=2×1.5×102×1.67×10271.6×1019×2×104 =0.125μs [ CBSE Marking Scheme, 2018]



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