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A particle of charge q, mass starts mo...

A particle of charge q, mass starts moving from origin under the action of an electric field `vecE=E_(0)hati` and magnetic field `vecB=B_(0)hatk` . Its velocity at `(x,0,0)` is `v_(0)(6hati+8hatj)`. The value of is

A

`(25 mv_(0)^(2))/( qE_0)`

B

`(100 mv_(0)^(2))/(qB_0)`

C

`(50 mV_(0)^(2))/( qE_0)`

D

`(14 mv_(0)^(2))/( q E_0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Applying work energy theorem `qE_0 x=1/2 m (10 v_0 ) ^2`
`x= (50 mv_(0)^(2) )/(qE_0)`
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