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Question: Two particles of masses m and 2m and charges 2q and 2q are placed in a uniform electric field E and ...

Two particles of masses m and 2m and charges 2q and 2q are placed in a uniform electric field E and allowed to move for the same time. The ratio of kinetic energies will be –

A

2 : 1

B

8 : 1

C

4 : 1

D

1 : 4

Answer

2 : 1

Explanation

Solution

KEAKEB\frac { K E _ { A } } { K E _ { B } } = 1/2 mAvA21/2 mBvB2\frac { 1 / 2 \mathrm {~m} _ { \mathrm { A } } \mathrm { v } _ { \mathrm { A } } ^ { 2 } } { 1 / 2 \mathrm {~m} _ { \mathrm { B } } \mathrm { v } _ { \mathrm { B } } ^ { 2 } }

vA = uA + aAt

vA = t

vB = t

\ KEAKEB\frac { K E _ { A } } { K E _ { B } } =