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A particle of specific charge (charge/ma...

A particle of specific charge (charge/mass) `alpha` starts moving from the origin under the action of an electric field `oversetrarrE = E_(0)hati` and magnetic field
`oversetrarrB = B_(0)hatk` Its velocity at `(x_(0),y_(0).0)` is `(4hati +3hatj)` The value of `x_(0)` is .

A

`(13)/(2) (alphaE_(0))/(E_(0))`

B

`(16)/(2) (alphaE_(0))/(B_(0))`

C

`(25)/(2alphaE_(0))`

D

`(5alpha)/(2B_(0))`

Text Solution

Verified by Experts

The correct Answer is:
C
Work done electric field `=DeltaK`
`qE_(0)X_(0) = (1)/(2) mv^(2)`
`x_(0) = (1)/(2) (mv^(2))/(qE_(0))`
`oversetrarrV =4hati + 3hatj implies V =5 `
From (1) and (2) `x_(0) = (25)/(2 alpha E_(0))` .
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