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A famous relation in Physics relates mov...

A famous relation in Physics relates moving mass m to the rest mass `m_0` of a particle in terms of its speed `upsilon` and the sped of light c. (This relaiton first arose as a consequence of special theory of 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 - upsilon^2)^(1//2)`Guess where to put the missing c?

A

`m=(cm_(0))/(sqrt(1-v^(2)))`

B

`m=(m_(0))/(c sqrt(1-v^(2)))`

C

`m=(m_(0))/(sqrt(c^(2)-v^(2)))`

D

`m=(m_(0))/(sqrt(1-(v^(2))/(c^(2))))`

Text Solution

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The correct Answer is:
D
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