If velocity V time T and force F are chosen as the base quantities, the dimensions of the mass will be :

Question

If velocity V time T and force F are chosen as the base quantities, the dimensions of the mass will be :, F V T - 1, F T - 1 V - 1, F T 2 V, F T V - 1

MARKS App · Accepted Answer

[ M ] 1 = [ V ] a [ T ] b [ F ] c [ M ] 1 = L T - 1 a [ T ] b M L T - 2 c [ M ] 1 = [ M ] c [ L ] a + c [ T ] - a + b - 2 c Thus, c = 1 , a + c = 0 and b - a - 2 c = 0 ⇒ a = - 1 ⇒ b = - 1 + 2 = 1 Thus, [ M ] = [ V ] - 1 [ T ] 1 [ F ] 1

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