An electron is accelerated from rest to potential V. the final velocity of electron is

Question

An electron is accelerated from rest to potential V. the final velocity of electron is

An electron is accelerated from rest to potential V. the final velocity of electron is
A. `sqrt((eV)/(2M))`
B. `sqrt((4eV)/(m))`
C. `sqrt((eV)/(m))`
D. `sqrt((2eV)/(m))`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Correct Answer - D
When a charged particle is accelerated by ann electric field (uniform or non-uniform), by work-energyy theorem,
`DeltaKE=W`, we have `(1)/(2)mv^(2)-(1)/(2) m u^(2)=qV" "(because W=qV)`
For electron, `(1)/(2) mv^(2)-(1)/(2)m u^(2)=eV implies v=sqrt((u^(2)+(2eV)/(m)))`
If electron is initially at rest `u=0,v=sqrt(((2eEd)/(m)))`