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Q.

A point-like body of mass m and of charge Q is initially at rest on the horizontal tabletop as shown in the figure and is given a v0 vertical, upward speed. There is a horizontal electric field E. Acceleration due to gravity = g.

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a

At the highest point acceleration will be only in horizontal direction.

b

Maximum height attained =v022g

c

Particle will collide with the table at horizontal distance 2QEv02mg2

d

Particle will collide with the table at an angle tanθ=mg2QEwith horizontal.

answer is A, B, C, D.

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Detailed Solution

 Maximum height H =v022g

Time of flight T =22Hg=2v0g

Therefore range R = 12QEmT2=2QEv02mg2

Just before collision with the table , vh=QETm=2QEv0mg

So angle of velocity vector with horizontal is given by tan θ=vvvh=mg2QE

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