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 A particle of mass m and charge q is thrown in a region where uniform gravitational field and electric field are present. The path of particle
  • a)
    May be a straight line
  • b)
    May be a circle
  • c)
    May be a parabola
  • d)
    May be a hyperbola
Correct answer is option 'A,C'. Can you explain this answer?
Most Upvoted Answer
A particle of mass m and charge q is thrown in a region where uniform ...
Explanation:

When a particle of mass m and charge q is thrown in a region where uniform gravitational field and electric field are present, its path can be determined by considering the forces acting on it.

Forces acting on the particle:

  • Gravitational force (Fg) = mg, where g is the acceleration due to gravity

  • Electric force (Fe) = qE, where E is the electric field strength



Possible paths of the particle:

  • Straight line: If the electric and gravitational forces are in the same direction, the particle will move in a straight line with constant acceleration. The path will be a straight line.

  • Parabola: If the electric and gravitational forces are perpendicular to each other, the particle will move in a parabolic path. This happens when the particle is thrown at an angle to the electric field. The path will be a parabola.

  • Circle: If the electric force is perpendicular to the gravitational force, the particle will move in a circular path. This happens when the particle is thrown in a direction perpendicular to the electric field. The path will be a circle.



Therefore, the correct answer is options A and C - the path of the particle may be a straight line or a parabola.
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Community Answer
A particle of mass m and charge q is thrown in a region where uniform ...
The acceleration due to gravity is insignificant compared with the acceleration caused by the electric field, so the gravitational field can be ignored. Hence, when a particle of mass m and charge q is thrown in a region where uniform gravitational field and electric field are present, before entering the electric field, the charge follows a straight line path (since, no net force due to any of the field). As soon as it enters the field, the charge begins to follow a parabolic path (since, constant force is always in the same direction). As soon as it leaves the field, the charge follows a straight line path  (since, no net force due to any of the field). The path of a particle may be straight line or may be parabola.
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