1.

A tapering bar (diameters of end sections being \[{{d}_{1}}\] and\[{{d}_{2}}\]) and a bar of uniform cross-section ?d? have the same length and are subjected to the same axial pull. Both the bars will have the same extension if ?d' is equal to:

A. \[\frac{{{d}_{2}}+{{d}_{2}}}{2}\]                  
B. \[\sqrt{{{d}_{1}}{{d}_{2}}}\]
C. \[\sqrt{\frac{{{d}_{1}}{{d}_{2}}}{2}}\]                       
D. \[\sqrt{\frac{{{d}_{1}}+{{d}_{2}}}{2}}\]
Answer» C. \[\sqrt{\frac{{{d}_{1}}{{d}_{2}}}{2}}\]                       


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