If the units of force, energy and velocity are 100 dyne, 400 erg and 10 cm/s respectively. Find the units of Mass, length and time.
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F = 100 dyne = [MLT-2] V = 10 cm s-1 = [LT-1] E = 400 ergs = [ML2T-2] L = [ML2T-2]/[MLT-2] = [E]/[F] = 400/100 L = 4 cm [LT-1] = 10 ⇒ 4T-1 = 10 ⇒ T = 0.4 sec [MLT-2] = 100 ⇒ M 4 × (0.4)-2 = 100 ⇒ M = 4
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