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Q.

A particle of mass m & charge -q has been projected. In region of uniform electric field E, from ground as shown in fig. Mark the correct statements (x is horizontal & y is vertical) 

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a

The path of the particle is parabola

b

Range of the particle can be less than or greater than or equal to u2sin2θg

c

The path of the particle is a straight line 

d

Time of flight of particle is 2usinθg

answer is B, C.

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Detailed Solution

Along X axis ux=ucosθ,ax=qEm

Along y axis uy=usinθ,ay=g

Equation of motions along x & y axis would be 

x=ucosθxtqE2mt2&y=usinθt12gt2

Solving above equation we get equation of the form Ax + By = Ct Which is a linear equation Time of flight remains unchanged as vertical motion is not affected by E . 

Range will be less than u2gsin 2θ

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