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In an experiment, electrons are accelera...

In an experiment, electrons are accelerated, from rest, by applying a voltage of 500V. Calculate the radius of the path if a magnetic field 100mT is then applied. [Charge of the electron `=1.6xx10^(-19)C` , Mass of the electron `=9.1xx10^(-31)` Kg]

A

`7.5xx10^(-2)m`

B

7.5m

C

`7.5xx10^(-4)m`

D

`7.5xx10^(-3)m`

Text Solution

Verified by Experts

The correct Answer is:
C
`r=(sqrt(2meV))/(eB)= sqrt((2meV_(ac))/(e^2B^2))`
`=sqrt((2xx9.1 xx10^(-31)xx500)/(1.6 xx10^(-19)xx(100xx10^(-3))^2))`
`=sqrt((2xx9.1 xx10^(-31)xx500)/(1.6 xx10^(-19)xx10^(-2)))`
`=sqrt((2xx9.1 xx5xx10^(-31+23))/(1.6))`
`=sqrt((9.1)/(1.6)xx10^(-7))=sqrt(91/16xx10^(-7))`
`=sqrt((910)/(16)xx10^(-8))=sqrt(56.875)xx10^(-4)`
`=7.52 xx10^(-4)m`
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