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Q.

A charged particle of mass m=2 kg and charge  1  μC is projected from a horizontal ground at an angle  θ=450 with speed 10  ms−1.In space, a horizontal electric field toward the direction of projection  E=2×107  NC−1 exists. The range of the projectile is

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a

20 m

b

60 m

c

200 m

d

180 m

answer is A.

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Detailed Solution

ax=qEm=10−6×2×1072=10  ms−2Time of flight T=2usinθg=2×10×1210=2  sHence, R=uxT+12axT2=10cos450×T+12axT2=102×2+12×10×2=20  m
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