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The kinetic energy of proton, whose mass...

The kinetic energy of proton, whose mass is 140 times that of electron and potential difference V is

A

1 KeV

B

`1840 KeV`

C

920 KeV

D

`1/1840` keV

Text Solution

Verified by Experts

The correct Answer is:
A
According to law of conservation of energy Sum of potential energy and kinetic energy remain constant Now initially proton starts from rest. Hence, kinetic energy of proton at initial point is zero but it has potential energy
`PE = qv`
where `q=1.6xx10^(-19)` C and V =1000V
Assuming the proton no longer experiences the potential energy and it is all converted to kinetic energy
`PE^(**)=0, KE^(**)=1/2mv^(2)`
Since, `KE +PE` = total energy `=PE^(**)+KE^(**)`
`qv+0+0+1/2mv^(2) or KE=qv=1.6xx10^(-16)` J=1 keV
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