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| 1. |
A cubic cm of gold is drawn into a wire 0.1mm in diameter, find the length of the wire |
| Answer» Given,Volume of gold = 1 cm3\xa0= 1000 mm3\xa0......(1)Diameter of wire = 0.1 mmRadius of wire =\xa0{tex}\\frac { 0.1 } { 2 }{/tex}\xa0= 0.05 mmLet, the length of the wire = h mmAccording to the question,Volume of wire = Volume of gold{tex}\\Rightarrow {/tex} πr2h = 1000 .( Since, wire is cylindrical & from (1) ){tex}\\Rightarrow π× ( 0.05 ) ^ { 2 } \\times h{/tex}\xa0= 1000{tex}\\Rightarrow \\frac { 22 } { 7 } \\times 0.0025 \\times h{/tex}\xa0= 1000{tex}\\Rightarrow h = \\frac { 1000 \\times 7 } { 22 \\times 0.0025 }{/tex}mm{tex}\\Rightarrow{/tex}\xa0h = 127272.72 mm{tex}\\Rightarrow{/tex}\xa0h = 127.27 m(approx.) | |