Question
A hypothetical experiment conducted to find Young's modulus $Y=\frac{\cos \theta T^{x} \tau}{l^{3}}$ where $\tau$ is torque and $l$ is length then find $x$.(A) 0(B) 1(C) 2(D) 3
Step 1
The dimension of Young's modulus (Y) is $[ML^{-1}T^{-2}]$. The dimension of $\cos \theta$ is dimensionless. The dimension of torque ($\tau$) is $[ML^{2}T^{-2}]$. The dimension of length cubed ($l^{3}$) is $[L^{3}]$. Show more…
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