We know that young's modulus = stress /strain
volume of the wire = weight/density
=> Area x length = weight / density
=> area = weight/(density * length)
weight = 50 gm = 0.05 kg
density = 8 g/cm³ = 8000 kg/m³
length = 2.5 m
Hence
Area = 0.05/(8000*2.5)
= 2.5 x 10⁻⁶
Stress = force/area
= 10/2.5 x 10⁻⁶
= 4 x 10⁶
Strain = change in length/ original length
= 2 x 10⁻³ m /2.5 m
= 8 x 10⁻⁴
Hence young's modulus = stress / strain
= 4 x 10⁶/ 8 x 10⁻⁴
= 5 x 10⁹
Answer:
Hope it will help others....
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Answers & Comments
We know that young's modulus = stress /strain
volume of the wire = weight/density
=> Area x length = weight / density
=> area = weight/(density * length)
weight = 50 gm = 0.05 kg
density = 8 g/cm³ = 8000 kg/m³
length = 2.5 m
Hence
Area = 0.05/(8000*2.5)
= 2.5 x 10⁻⁶
Stress = force/area
= 10/2.5 x 10⁻⁶
= 4 x 10⁶
Strain = change in length/ original length
= 2 x 10⁻³ m /2.5 m
= 8 x 10⁻⁴
Hence young's modulus = stress / strain
= 4 x 10⁶/ 8 x 10⁻⁴
= 5 x 10⁹
Answer:
Hope it will help others....