Match the physical quantities in Column-I wit | vedclass

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(A) $1$. According to Hooke's law, within the elastic limit, stress is directly proportional to strain. Thus, $(a)$ matches with $(iv)$.$2$. Compressi

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$(a - iv), (b - ii)$

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(A) $1$. According to Hooke's law, within the elastic limit, stress is directly proportional to strain. Thus, $(a)$ matches with $(iv)$.$2$. Compressibility is the reciprocal of the Bulk Modulus $(K)$. The dimensional formula for stress is $[M^1 L^{-1} T^{-2}]$ and strain is dimensionless. Thus, the Bulk Modulus has dimensions $[M^1 L^{-1} T^{-2}]$.$3$. Compressibility $= 1/K$, so its dimensions are $[M^{-1} L^1 T^2]$. Thus, $(b)$ matches with $(ii)$.$4$. Therefore, the correct matching is $(a - iv), (b - ii)$.

Column-$I$	Column-$II$
$(a)$ $\text{Stress} \propto \text{Strain}$	$(i)$ $M^1 L^{-1} T^{-2}$
$(b)$ $\text{Dimensional formula for compressibility}$	$(ii)$ $M^{-1} L^1 T^2$
	$(iii)$ $\text{Poisson's ratio}$
	$(iv)$ $\text{Hooke's law}$

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