An electron which is moving with a velocity of 5×10^6 m/sec emerges from a sheet of paper of thickness 2.1×10^-4 cm, with a velocity of 2×10^6m/sec. Calculate the time taken by the electron to pass through the sheet of the paper.
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shivanshshiv0803:
You have taken distance as acceleration
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Answer:
12×10^-13
Explanation:
Given,
u=5×10^6 m/sec
v=2×10^6 m/sec
s=2.1×10^-4 cm
= 2.1×10^-4/100 m, (:change cm into m)
=2.1×10^-4/10^2 m
s=2.1×10^-6 m
v^2-u^2=2as.
a=v^2-u^2/2s...............e^n(1)
a=v-u/t...............e^n(2)
equation (1) and equation (2) ,we get,
= v^2-u^2/2s=v-u/t
= (v+u)(v-u)/2s=v-u/t. ,{;a^2-b^2=(a+b)(a-b)}
= (v+u)/2s=1/t
= t=2s/v+u. ,by cross multiple
= t=2×(2.1×10^-6)/2×10^6+5×10^6
= t=4.2×2×10^-6/7×10^6
= t=0.6×2×10^-6/10^6
= t=6×2×10^-6/10^7
= t=12×10^-13 Ans
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