A) 5:3:1
B) \[\sqrt{125}:15:1\]
C) 1:15:125
D) 1:3:5
Correct Answer: B
Solution :
\[\operatorname{R}=\frac{\rho \ell }{\operatorname{A}}\frac{\ell }{\ell }=\frac{\rho {{\ell }^{2}}}{\operatorname{V}}\frac{\rho }{\rho }=\frac{{{\rho }^{2}}{{\ell }^{2}}}{\operatorname{m}}\] (volume=Area length) \[{{\operatorname{R}}_{1}}:{{R}_{2}}:{{R}_{3}}=\frac{{{\ell }^{2}}_{1}}{{{\operatorname{m}}_{1}}}:\frac{{{\ell }^{2}}_{2}}{{{\operatorname{m}}_{3}}}:\frac{{{\ell }^{2}}_{3}}{{{\operatorname{m}}_{3}}}\,\,\,\,\,\,\,\,\,\,\rho =\frac{mass}{volume}\] \[=\frac{{{\left( 5 \right)}^{2}}}{1}:\frac{{{\left( 3 \right)}^{2}}}{3}:\frac{{{\left( 1 \right)}^{2}}}{5}\] \[=25:\frac{9}{3}:\frac{1}{5}\,\,\,\,\operatorname{or}\,\,125:15:1\]
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