A particle of mass $$2$$ gm and a charge $$1$$ μC is held at rest on a frictionless horizontal surface at a distance of $$1$$ metre from a fixed charge of $$1$$ mC. If the particle is released it will be repelled, The speed of the particle when it is at a distance of $$10$$ metres from the fixed charge is

Question

A particle of mass $$2$$ gm and a charge $$1$$ μC is held at rest on a frictionless horizontal surface at a distance of $$1$$ metre from a fixed charge of $$1$$ mC. If the particle is released it will be repelled, The speed of the particle when it is at a distance of $$10$$ metres from the fixed charge is

Infinity Learn · Accepted Answer

The change in potential energy of the $$charges=q1q24$$πε$$01r1$$−$$1r2=9$$×$$1091$$×$$10$$−$$610$$−$$311$$−$$110=9$$×$$910=8$$⋅$$1JThis$$ is equal to the gain is kinetic energy. Let u be the velocity of the particle. $$Then12mv2=8$$⋅$$1$$ or $$12$$×$$2$$×$$10$$−$$3v2=8$$⋅$$1Solving$$, ne get v $$=$$ $$90$$ $$m/s$$..

A particle of mass 2 gm and a charge 1 $μ$ C is held at rest on a frictionless horizontal surface at a distance of 1 metre from a fixed charge of 1 mC. If the particle is released it will be repelled, The speed of the particle when it is at a distance of 10 metres from the fixed charge is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A particle of mass 2 gm and a charge 1 μC is held at rest on a frictionless horizontal surface at a distance of 1 metre from a fixed charge of 1 mC. If the particle is released it will be repelled, The speed of the particle when it is at a distance of 10 metres from the fixed charge is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A particle of mass 2 gm and a charge 1 $μ$ C is held at rest on a frictionless horizontal surface at a distance of 1 metre from a fixed charge of 1 mC. If the particle is released it will be repelled, The speed of the particle when it is at a distance of 10 metres from the fixed charge is