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

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Last Post by nikhil04 5 years ago

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16/09/2020 5:29 pm

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aditi07

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

(1) FA²V^–3

(2) FA²V^–1

(3) FA²V^–2

(4) FA^-1V⁰

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16/09/2020 5:37 pm

nikhil04

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Correct answer: (4) FA^-1V⁰

Explanation:

Y ∝ F^aV^bA^c

Y = (F/A)

MLT^-2/L² ∝ (M¹L¹T^-2)^a(L¹T^-1)^b(L²)^c

M¹L^-1T^-2 ∝ M^aL^a+b+2cT^-2a-b

a + b + 2c = –1

–2a + b = –2

a = 1, b = 0, c = –1

Y = F¹A^-1V⁰

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