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A particle of mass ‘m’ & charge - q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements are given ; Mark the one which is correct: -


  • a)
    The equation of the trajectory is given by y = 

  • b)
    The horizontal & vertical components of acceleration are ax = 0 ; 

  • c)
    The horizontal & vertical displacement after a time interval‘t’ are x = vt &y= 

  • d)
    The kinetic energy attained after moving a distance y is q Ey.

Correct answer is option 'A,B,C'. Can you explain this answer?
Verified Answer
A particle of mass ‘m’ & charge - q is projected with ...
In + y - direction : - y = 

In + x - direction :- x = vt .............. (2)

From ( 1 ) & ( 2 ) :- 







4. The kinetic energy attained after moving a distance y is qEy.


This statement is incorrect. The kinetic energy (KE) of a particle is given by KE = (1/2)mv², where m is the mass of the particle and v is its velocity. The kinetic energy gained by the particle moving a distance y in the electric field depends on the change in its velocity, which is related to the acceleration and the distance traveled. Therefore, the kinetic energy cannot be simply expressed as qEy.
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A particle of mass ‘m’ & charge - q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements aregiven ; Mark the one which is correct: -a)The equation of the trajectory is given by y =b)The horizontal & vertical components of acceleration are ax = 0 ;c)The horizontal & vertical displacement after a time interval‘t’ are x = vt &y=d)The kinetic energy attained after moving a distance y is q Ey.Correct answer is option 'A,B,C'. Can you explain this answer?
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A particle of mass ‘m’ & charge - q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements aregiven ; Mark the one which is correct: -a)The equation of the trajectory is given by y =b)The horizontal & vertical components of acceleration are ax = 0 ;c)The horizontal & vertical displacement after a time interval‘t’ are x = vt &y=d)The kinetic energy attained after moving a distance y is q Ey.Correct answer is option 'A,B,C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A particle of mass ‘m’ & charge - q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements aregiven ; Mark the one which is correct: -a)The equation of the trajectory is given by y =b)The horizontal & vertical components of acceleration are ax = 0 ;c)The horizontal & vertical displacement after a time interval‘t’ are x = vt &y=d)The kinetic energy attained after moving a distance y is q Ey.Correct answer is option 'A,B,C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass ‘m’ & charge - q is projected with a horizontal speed v into an electric field of intensity ‘E’ directed downward. The following statements aregiven ; Mark the one which is correct: -a)The equation of the trajectory is given by y =b)The horizontal & vertical components of acceleration are ax = 0 ;c)The horizontal & vertical displacement after a time interval‘t’ are x = vt &y=d)The kinetic energy attained after moving a distance y is q Ey.Correct answer is option 'A,B,C'. Can you explain this answer?.
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