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A famous relation in physics relates 'mo...

A famous relation in physics relates 'moving mass' m to the 'rest mass' `m_(0)` of a particle in terms of its speed v and the speed of light,c. (This relation first arose as a consequence of special relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes:
`m=(m_(0))/((1-v^(2))^(1//2))`
Guess where to put the missing c.

Text Solution

Verified by Experts

The correct formula is `m=m^(0)(1-v^(2)//c^(2))^(-1//2)`
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A famous relation in physics relates moving mass m with the rest mass m_(0) of a particle in terms of its speed v and the speed of light c. This relation first arose as a consequence of special relativity by Albert Einstein. A boy recalls the relation almost correctly but forgets where to put the constant c. He writes : m=(m_(0))/((1-v^(2))^(1//2)). Guess where to put the missing c.

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