A particle of charge q and mass m is subjected to an electric field E = E 0 1 – a x 2 in the x -…

A particle of charge q and mass m is subjected to an electric field E=E01ax2 in the x-direction, where a and E0 are constants. Initially the particle was at rest at x=0. Other than the initial position the kinetic energy of the particle becomes zero when the distance of the particle from the origin is :
  1. a
  2. 2a 
  3. 3a
  4. 1a

Solution

Wex=ΔK       K1-K1=0

0xqEdx=0

 q 0xE01-Qx2dx=0

qE00x1-ax2dx=0

x-ax33=0

1-ax23=0

ax23=1

x2=3a

x=3a 

Asked in: JEE Main 2020 (04 Sep Shift 2)

Practice more Motion In One Dimension questions on Aicharya