Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

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(3) [M]=[T⁻¹C⁻²h]. Given: T=[T], C=[LT⁻¹], h=[ML²T⁻¹]. Write M=T^aC^bh^d and match each base. Mass: 1=d. Length: 0=b+2d=b+2, so b=-2. Time: 0=a-b-d=a+2-1, so a=-1. Hence [M]=[T⁻¹C⁻²h].

Time (T), velocity (C) and angular momentum (h) are chosen as fundamental quantities instead of mass, length and time. In terms of these, the dimensions of mass would be

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Why the other options are wrong