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

Physics

Last Post by Riya08 4 years ago

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09/01/2022 7:06 pm

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Shilpi98

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

(1) [FL^-4 T²]

(2) [FL^-3 T²]

(3) [FL^-5 T²]

(4) [FL^-3 T³]

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09/01/2022 7:11 pm

Riya08

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Correct answer: (1) [FL^-4 T²]

Explanation:

Density = [F^aL^b T^c]

[ML^-3] = [M³L^aT^2aL^bT^c]

[M¹L^-3] = [M³L^a+bT^2a+c]

a = 1 ; a + b = -3; -2a + c = 0

1 + b = -3 ; c = 2a

b = -4 ; c = 2

So, density = [F¹L^-4 T²]

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