If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be
If speed V, area A and force F are chosen as fundamental units, then the dimension of Young's modulus will be
Option 1 -
FA²V⁻³
Option 2 -
FA²V⁻²
Option 3 -
FA²V⁻¹
Option 4 -
FA⁻¹V⁰
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1 Answer
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Correct Option - 4
Detailed Solution:Y ∝ F? V? A? Y = (E/A)/L²
ML? ¹T? ² ∝ (M¹L¹T? ²)? (L¹T? ¹)? (L²)?
a=1, a+b+2c=-1, -2a-b=-2
a=1, b=0, c=-1
Y = F¹V? A? ¹
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