If force F, acceleration A, and time T are taken as the fundamental physical quantities, the dimensions of length on this system of units are

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FAT2

FAT

AT2

answer is D.

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Detailed Solution

L∝FxAyTz ⇒M0L1T0∝M1L1T-2xM0L1T-2yM0L0T1z ⇒M0L1T0∝MxLx+yT-2x-2y+zComparing powers, x=0 x+y=1 2x-2y+z=0After Solving, x=0 , y=1 , z=2 ∴L∝F0A1T2

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