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An electron with rest mass m(0) moves wi...

An electron with rest mass `m_(0)` moves with a speed of 0.8c.Its mass when it moves with this speed is…….

A

`m_(0)`

B

`(m_(0))/(6)`

C

`(5m_(0))/(3)`

D

`(3m_(0))/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
`m=(m_(0))/(sqrt(1-(v^(2))/(c^(2))))=(m_(0))/(sqrt(1-(0.8c)/(c)))^(2)`
`therefore m=(m_(0))/(sqrt(1-0.64))=(m_(0))/(sqrt(0.36))=(m_(0))/(0.6)=(10m_(0))/(6)`
`therefore m=(5m_(0))/(3)`
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