A charged particle of mass \( m=2 \mathrm{~kg} \) and charge \( 1 \mu \mathrm{C} \) is projected...

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A charged particle of mass \( m=2 \mathrm{~kg} \) and charge \( 1 \mu \mathrm{C} \) is projected from a horizontal ground at an angle \( \theta=45^{\circ} \) with speed \( 10 \mathrm{~ms}^{-1} \). In space, a horizontal electric field toward the direction of projection \( E=2 \times 10^{7} \mathrm{NC}^{-1} \) exists. The range of the projectile is
(1) \( 20 \mathrm{~m} \)
(2) \( 60 \mathrm{~m} \)
(3) \( 200 \mathrm{~m} \)
(4) \( 180 \mathrm{~m} \)
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