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Q.

A charged particle of mass m=1kg and charge q=2μC is thrown from a horizontal ground at an angle θ=450 with speed 20m/s. In space a horizontal electric field E=2×107V/m exists along the horizontal component of the velocity of the particle. Find the range on horizontal ground of the projectile thrown.(g=10m/s2)

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a

100m

b

200m

c

220m

d

120m

answer is C.

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Detailed Solution

The path of the particle will be a parabola, but along x-axis also motion of the particle will be accelerated. Time of flight of the projectile is

Question Image

T=2uyay=2uyg=2×20sin45010=22s

Horizontal range of the particle will be

R=uxT+12axT2

ax=qEm=(2×106)(2×107)1=40m/s2

R=(20cos450)(22)+12(40)(22)2

=40+160

=200m

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