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Q.

A particle of mass $2 kg$ and charge $10^{- 3}$ C is projected vertically with a velocity $10 {ms}^{- 1} .$ There is a uniform horizontal electric field of $10^{4} {NC}^{- 1} .$ Select the correct statements.

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a

The time of flight of the particle is $2 s$ .

b

The maximum height reached is $5 m$

c

The horizontal range of the particle is $10 m .$

d

The horizontal range of the particle is zero.

answer is A, B, C.

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Detailed Solution

Time of flight $(t) = \frac{2 u}{g} = \frac{2 \times 10}{10} = 2 \sec$

$H = \frac{u^{2}}{2 g} = \frac{10 \times 10}{2 \times 10} = 5 m$

$R = 0 + \frac{1}{2} (\frac{q E}{m}) t^{2} \Rightarrow R = \frac{1}{2} (\frac{10^{- 3} \times 10^{4} \times 2 \times 2}{2}) = 10 m$

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