1.

Two charged particles of charge +2q and +q have masses m and2m respectively. Then are kept in uniform electric field allowed to move for the same time. Find the ratio of their kinetic energies.

Answer»

`1:8`
`16:1`
`2:1`
`3:1`

Solution :(B) Let `E=` UNIFORM electric field
Let `m_(1)=m, m_(2)=2m`
Force on particles,
`F_(1)=ma_(1)=2QE`
`implies F_(2)=2ma_(2)=qE`
`a_(1)=(2qE)/m` and `a_(2)=(qE)/(2m)`
FINAL velocities of the particle
`v_(1)=u_(1)=a_(1)t`
`implies v_(1)=(2qE)/m timpliesv_(2)=(qE)/(2m)t`
Let `K=` KINETIC energy
`K_(1)=1/2m ((qE)/(2m))^(2)t^(2)implies(K_(1))/(K_(2))=16/1`


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