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A particle having the same charge as of ...

A particle having the same charge as of electron moves in a circular path of radius 0.5 cm under the influence of a magnetic field of 0.5 T. If an electric field of 100V/m makes it to move in a straight path, then the mass of the particle is ( Given charge of electron `= 1.6 xx 10^(-19)C`)

Text Solution

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As particle is moving along a circular path
`:.R=(mv)/(qB)` ……I
Path is straight line then
`qE=qvB`
`E=vBimpliesv=E/B`….ii
From equation I and ii
`m=(qB^(2)R)/E=(1.6xx10^(-19)xx(0.5)^(2)xx0.5xx10^(-2))/100`
`:.m=2.0xx10^(-24)kg`
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