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a boy recalls the relation for relativistic mass (m) in terms of rest mass mó velocity of particle V but forget to put the constant C (velocity of light) he writes m= mó/1 -v² correct the equation by putting the missing C |
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Answer»
SOLUTION : According to the PRINCIPLE of homogeneity of dimensions, powers of M, L, T on either SIDE of the forumal must be equal. For this on RHS, the DENOMINATOR (1−υ2)1/2 should be dimensionless. Therefore INSTEAD of (1−υ2)1/2, we should write (1−υ2/c2)1/2 Hence, the correct formula would be m=m0(1−υ2/c2)1/2
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