An electron of mass 9.1∗10−31kg and charge 1.6∗10−19C is situated in a uniform electric field of intensity 1.2∗104Vm−1. Find the time it takes to travel 1cm from rest.
Given,
Mass of electron (me)=9.1∗10−31kg
Charge of Electron (q)=1.6∗10−19C
Electric Field Intensity (E)=1.2∗104V/m
Distance (d)=1cm=1∗10−2m
Time (t)=?
We know that,
F = q.E ⇒ m.a = q.E ⇒ a = q.Em= (1.6∗10−19)∗(1.2∗104)9.1∗10−31
∴ a=2.1∗1015m/s2
Now,
To calculate the time, we have
S=ut+12at2 ⇒ S=12at2 [∵ u = 0]
⇒ t2 = 2.Sa = 2∗1∗10−22.1∗1015
∴ t=3.08∗10−9Sec
Hence, it takes 3.08∗10−9sec to travel 1 cm from rest.
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