If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:

Question

If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:, FL - 4 T 2, FL - 3 T 3, FL - 3 T 2, FL - 5 T 2

MARKS App · Accepted Answer

d ∝ F a L b T c M L - 3 = M L T - 2 a L b T c = M a L a + b T - 2 a + c comparing : a = 1 ......(i) a + b = - 3 ....(ii) - 2 a + c = 0 .......(iii) c = 2 ; b = - 4 ; ∴ [ d ] = FL - 4 T 2

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