Taking force F, length L and time T to be the fundamental quantities, find the dimensions of density.

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FL-4 T-2

FL-4 T2

FL4 T2

FL4 T-2

answer is B.

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Detailed Solution

[ density ]=[F]x[L]y[ T]z ∴ML-3=MLT-2x[ L]y[ T]zEquating the powers, we getx=1, y=-4 and z=2∴ [ density ]=FL-4 T2

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