The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum when the same tension is applied
A
Length 100cm, Diameter 1mm
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B
Length 200cm, Diameter 2mm
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C
Length 300cm, Diameter 3mm
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D
Length 50cm, Diameter 0.5mm
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Solution
The correct option is C Length 50cm, Diameter 0.5mm Y=F/a△l/l=Fla△l or △l∝1D2
Here the unit is different so, we change length into mm.
a. 100012=1000 b. 20004=500 c. 30009=333.33 d. 500(1/2)2=2000.