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AIIMS2018PhysicsElectrostatics

A charge particle is moving along electric field as shown in figure. What is horizontal displacement of the charge particle when it descends a distance of y meter? Given Q / m=9.6 10^7 C / kg , E=5 10^5 ~V / m , y=84 ~cm , g=10 ~m / s ^2

Options

  1. A4.03 10^8 ~m
  2. B4.03 10¹⁰ ~m
  3. C4.03 10⁻⁸ ~m
  4. D4.03 10⁻⁸ ~m

Correct answer

A. 4.03 10^8 ~m

Step-by-step solution

Suppose particle falls down a distance y in time t so y= 1 2 g t^2 ; t= 2 y g Now for x -axis aligned & x= 1 2 a_x t^2= 1 2 Q E m 2 y g & = 1 2 9.6 10^7 5 10^5 2 84 10⁻² 10 & =403.2 10¹⁰ ~m =4.03 10^8 ~m aligned

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