A particle of mass 1 gm and charge - 0.1,μ C is projected from ground with a velocity 1

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1. Electric Charges and Fields

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A particle of mass $1\ gm$ and charge $ - 0.1\,\mu C$ is projected from ground with a velocity $10\sqrt 2 $ at an $45^o$ with horizontal in the area having uniform electric field $1\ kV/cm$ in horizontal direction. Acceleration due to gravity is $10\ m/s^2$ in vertical downward direction. Select $INCORRECT$ statement

A

Time of flight for particle is $2\,sec$

B

Range of particle is $20\ m$

C

Total displacement of particle is $0\ m$

D

Particle will follow straight line motion.

Solution

$a_{x}=\frac{q E}{m}=10 \,m / s^{2}$

$\therefore \mathrm{T}=\frac{2 \times 10}{10}=2 \mathrm{\,sec}$

$\mathrm{R}=10 \times 2-\frac{1}{2} \times 10 \times 4=0$

$\because a_{x}=a_{y} \Rightarrow$ particle will follow a straight line.

Standard 12

Physics

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