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A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.?
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A particle of mass m and charge -q is projected with a horizontal spee...
Statement (a): The equation of trajectory is given by y= qEx^2 / 2mv^2
This statement is incorrect. The equation of trajectory for a particle projected into an electric field is given by y = qEt^2 / (2m), where y is the vertical displacement, q is the charge of the particle, E is the electric field intensity, t is the time, and m is the mass of the particle. The correct equation takes into account the time dependence of the displacement, rather than the x-coordinate.
Statement (b): The horizontal and vertical components of acceleration are ax = 0 and ay = qE/m
This statement is correct. When a particle with charge -q is projected into an electric field of intensity E, the horizontal component of acceleration is zero because there is no force acting on the particle in the horizontal direction. The vertical component of acceleration is given by ay = qE/m, where q is the charge of the particle, E is the electric field intensity, and m is the mass of the particle. This is due to the electric force acting on the charged particle in the vertical direction.
Statement (c): The horizontal and vertical displacements after a time interval t are x=vt and y=ayt^2/2
This statement is incorrect. The correct equations for the horizontal and vertical displacements after a time interval t are x = vt and y = (qEt^2) / (2m), respectively. The horizontal displacement is given by x = vt, where v is the horizontal speed of the particle and t is the time. The vertical displacement is given by y = (qEt^2) / (2m), where q is the charge of the particle, E is the electric field intensity, t is the time, and m is the mass of the particle.
Statement (d): The kinetic energy attained after moving a distance y is qEy
This statement is incorrect. The correct expression for the kinetic energy attained after moving a distance y is given by K.E. = (1/2)mv^2, where m is the mass of the particle and v is its horizontal speed. The kinetic energy does not depend on the vertical displacement or the electric field intensity. So, the correct expression for the kinetic energy attained after moving a distance y is not qEy.
This statement is incorrect. The equation of trajectory for a particle projected into an electric field is given by y = qEt^2 / (2m), where y is the vertical displacement, q is the charge of the particle, E is the electric field intensity, t is the time, and m is the mass of the particle. The correct equation takes into account the time dependence of the displacement, rather than the x-coordinate.
Statement (b): The horizontal and vertical components of acceleration are ax = 0 and ay = qE/m
This statement is correct. When a particle with charge -q is projected into an electric field of intensity E, the horizontal component of acceleration is zero because there is no force acting on the particle in the horizontal direction. The vertical component of acceleration is given by ay = qE/m, where q is the charge of the particle, E is the electric field intensity, and m is the mass of the particle. This is due to the electric force acting on the charged particle in the vertical direction.
Statement (c): The horizontal and vertical displacements after a time interval t are x=vt and y=ayt^2/2
This statement is incorrect. The correct equations for the horizontal and vertical displacements after a time interval t are x = vt and y = (qEt^2) / (2m), respectively. The horizontal displacement is given by x = vt, where v is the horizontal speed of the particle and t is the time. The vertical displacement is given by y = (qEt^2) / (2m), where q is the charge of the particle, E is the electric field intensity, t is the time, and m is the mass of the particle.
Statement (d): The kinetic energy attained after moving a distance y is qEy
This statement is incorrect. The correct expression for the kinetic energy attained after moving a distance y is given by K.E. = (1/2)mv^2, where m is the mass of the particle and v is its horizontal speed. The kinetic energy does not depend on the vertical displacement or the electric field intensity. So, the correct expression for the kinetic energy attained after moving a distance y is not qEy.
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A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.?
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A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.?.
A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.?.
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A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.?, a detailed solution for A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? has been provided alongside types of A particle of mass m and charge -q is projected with a horizontal speed v into an electric field of intensity E directed downward. The following statements are given. Which one is incorrect a. The equation of trajectory is given by y= qEx2 2mv2 b. the horizontal and vertical components of acceleration are ax = 0 and ay = qE/m c. the horizontal and vertical displacements after a time interval t are x=vt and y= ayt 2/2 d. The kinetic energy attained after moving a distance y is qEy.? theory, EduRev gives you an
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