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A particle of charge 1 microcoulomb and mass 1 gm moving with velocity 4m/s is subjected to a uniform electric field of magnitude 300 V/m for 10 sec then its final speed cannot be: A] 0.5 B] 4 C] 3 D] 6

A particle of charge 1 microcoulomb and mass 1 gm moving with velocity 4m/s is subjected to a uniform electric field of magnitude 300 V/m for 10 sec then its final speed cannot be:
A] 0.5 B] 4 C] 3 D] 6

Grade:12

2 Answers

Rituraj Tiwari
askIITians Faculty 1792 Points
3 years ago
657-1050_Annotation 2020-07-25 181019.png
Sujit kumar
13 Points
2 years ago

Electrostatic force on the charge particle will be

F=qE=ma

a=\frac{qE}{m}=\frac{10^{-6}\times 300}{0.001}=0.3m/s^2

Now there are two possibility.

1)electric field is in the direction of velocity \theta=0^o

v=u+at=4+0.3\cdot 10=7m/s

case 2. if electric field is in opposite direction of velocity\theta=180^o

v=u-at=4-0.3\cdot 10=1m/s

So its final speed can be between 1m/s to 7m/s depending

on the angle between electric field and velocity vector

So, option 0.5 m/s is not possible in 10 sec interval

Hence option (1) is correct

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