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Q 2.15: A famous relation in physics relates ‘moving mass’ to the ‘rest mass’
of a particle in terms of its speed
and the speed of light,
. (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 :
Guess where to put the missing c.
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The relation given is
Divide both sides by
;
L.H.S becomes
which is dimensionless.
Hence, R.H.S must be dimensionless too. (After Dividing by
!)
Therefore, the dimensional equation is