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A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), where d << h. At time t = 0, a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that h is large enough that the proton-electron interaction is negligible, the y coodinates of the two particles will be equal (at equal time)
  • a)
    at about y = d/2000
  • b)
    at an undetermined value since E is unknown
  • c)
    at about y = d/43
  • d)
    nowhere: they move in opposite directions
Correct answer is option 'A'. Can you explain this answer?
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A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), ...
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A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), ...
Is the same as either h or -h. The electric field at the electron due to the proton is given by:

E = k * q / r^2

where k is the Coulomb constant, q is the charge of the proton, and r is the distance between the proton and the electron.

The distance between the proton and the electron is given by:

r = sqrt((h-0)^2 + (d-0)^2) = sqrt(h^2 + d^2)

Substituting this into the equation for electric field, we get:

E = k * q / (h^2 + d^2)

The electric field points in the direction opposite to the direction of the force on a positive charge. Since the electron is negatively charged, the electric field points towards the proton.

To find the direction of the electric field, we can use the fact that it points towards the proton. If d = h, then the electron is to the right of the proton and the electric field points towards the left. If d = -h, then the electron is to the left of the proton and the electric field points towards the right.
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A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), where d << h. At time t = 0, a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that h is large enough that the proton-electron interaction is negligible, the y coodinates of the two particles will be equal (at equal time)a)at about y = d/2000b)at an undetermined value since E is unknownc)at about y = d/43d)nowhere: they move in opposite directionsCorrect answer is option 'A'. Can you explain this answer?
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A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), where d << h. At time t = 0, a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that h is large enough that the proton-electron interaction is negligible, the y coodinates of the two particles will be equal (at equal time)a)at about y = d/2000b)at an undetermined value since E is unknownc)at about y = d/43d)nowhere: they move in opposite directionsCorrect answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), where d << h. At time t = 0, a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that h is large enough that the proton-electron interaction is negligible, the y coodinates of the two particles will be equal (at equal time)a)at about y = d/2000b)at an undetermined value since E is unknownc)at about y = d/43d)nowhere: they move in opposite directionsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A proton sits at coordinates (x,y) = (0, 0) and an electron at (h,d), where d << h. At time t = 0, a uniform electric field E of unknown magnitude but pointing in the positive y direction is turned on. Assuming that h is large enough that the proton-electron interaction is negligible, the y coodinates of the two particles will be equal (at equal time)a)at about y = d/2000b)at an undetermined value since E is unknownc)at about y = d/43d)nowhere: they move in opposite directionsCorrect answer is option 'A'. Can you explain this answer?.
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