KCET2014PhysicsElectrostatics
Two equal and opposite charges of masses ( m ₁ ) and ( m ₂ ) are accelerated in an uniform electric field through the same distance. What is the ratio of their accelerations if their mi ratio of masses is ( m ₁ ~m ₂ =0.5 ) ?
Options
- A( a₁ a₂ =0.5 )
- B( a₁ a₂ =1 )
- C( a₁ a₂ =2 )
- D( a₁ a₂ =3 )
Correct answer
C. ( a₁ a₂ =2 )
Step-by-step solution
Since both the masses are accelerated in an uniform electric field through same distance, therefore, force acting on both the masses is same. We know ( F= ) ma ( F₁=F₂ m₁ a₁=m₂ a₂ a₁ a₂ = m₂ m₁ ) Using ( m₁ m₂ =0.5 ), we get ( a₁ a₂ = 1 0.5 a₁ a₂ =2 )