If speed V , area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be :

Question

If speed V , area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be :, FA 2 V - 1, FA 2 V - 3, FA 2 V - 2, FA - 1 V 0

MARKS App · Accepted Answer

Y ∝ F a V b A c Y = F A M L T - 2 L 2 ∝ M 1 L 1 T - 2 a L 1 T - 1 b L 2 c M 1 L - 1 T - 2 ∝ M a La + b + 2 cT - 2 a - b a + b + 2 c = – 1 – 2 a + b = – 2 a = 1 , b = 0 , c = – 1 Y = F 1 V 0 A - 1

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