A force of 100 N produces a change of 0.1% in a length of wire of area of cross section 1 mm2. Young’s modulus of the wire is ____
(A) 105 N/m2
(B) 109 N/m2
(C) 1011 N/m2
(D) 1012 N/m2
1 Answers
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Distinguish between Young’s modulus, bulk modulus and modulus of rigidity.
No Young’s modulus Bulk modulus Modulus of rigidity i It is the ratio of longitudinal stress to longitudinal strain. It is the ratio of volume stress to volume strain. It is the ratio of shearing stress to...
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The diameter of a copper sphere is 18 cm. It is melted and drawn into a long wire of uniform cross section. If the length of the wire is 108 m, find i
Correct Answer - 0.6 cm
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A wire of length 20 m and area of cross section 1.25 × 10^-4 m^2 is subjected to a load of 2.5 kg. (1 kg wt = 9.8 N).
L = 20 m, A = 1.25 × 10-4m2, F = mg = 2.5 × 9.8 N, l = 10-4 m Formula Y = \(\frac{FL}{Al}\) To find: Young’s modulus (Y) Calculation: From formula, Y = \(\frac{2.5\times9.8\times20}{1.25\times10^{-4}\times10^{-4}}\) = 3.92 × 1010Nm-2 The...
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Calculate the strain energy per unit volume in a brass wire of length 3 m and area of cross-section 0.6 mm^2 when it is stretched by 3 mm
Given: L = 3 m, F = 6 kg wt = 6 × 9.8N = 58.8N, A = 0.6 mm2 = 0.6 × 10-6 m2, = 3 mm = 3 × 10-3 m To find: Strain energy...
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A wire of length ‘L’, radius ‘r’ when stretched with a force ‘F’ changes in length by l’. What will be the change in length of a wire
Correct option is: (B) l
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A copper wire (Y = 1 × 10^11 N/m^2) of length 6 m and a steel wire (Y = 2 × 10^11 N/m^2) of length 4 m each of cross-section 10^-5 m^2 are fastened
Correct option is: (C) 0.6 mm
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A force of 1 N doubles the length of a cord having cross-sectional area 1 mm^2. The Young’s modulus of the material of cord is
Correct option is: (C) 106 N m-2
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The Young’s modulus of a material is 10^11 Nm^-2 and its Poisson’s ratio is 0.2. The modulus of rigidity of the material is
Correct option is: (A) 0.42 × 1011 N/m2
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Given a current carrying wire of non-uniform cross-section. Which of the following is constant throughout the length of the wire?
Correct option is: (D) Current only
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Pressure = ………… A) Force B) Force x area C) Area / force D) Force / area
D) Force / area
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