Calculate the percentage increase in length of a wire of diameter 2.2 m stretched by a load of 100g. Young's modulus of wire is 12.5 × 10^10 N/m^2
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Hi,
Here is your answer,
Here,
2r = 2.5 mm = 0.25
or r = 0.125 cm
Therefore, a = πr² = 22/7 × (0.125)² sq.cm
F = 10 Kg = 100 × 1000 g
F = 10 × 1000 × 980 dyne
Y = 12.5 × 10¹¹ dyne/sq.cm
As, → Y= F × l/ a ×Δl
∴ ΔL/L = F/aY
Hence, Percentage increases in length
= ΔL/L × 100 = F/aY × 100
= (100×1000×980) × 7 × 100/ 22 × (0.125)² × 125 × 10¹¹
= 0.1812 Percent
Hope it helps you !
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what the heck is 5his question
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