# The ratio of Young's modulus of the material of two wires is $$2:3$$. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be: 1. $$3:2$$ 2. $$2:3$$ 3. $$3:4$$ 4. $$4:3$$

Subtopic:  Potential energy of wire |
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If $$E$$ is the energy stored per unit volume in a wire having $$Y$$ as Young's modulus of the material, then the stress applied is:
1. $$\sqrt{2EY}$$
2. $$2\sqrt{EY}$$
3. $$\frac{1}{2}\sqrt{EY}$$
4. $$\frac{3}{2}\sqrt{EY}$$

Subtopic:  Potential energy of wire |
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A ball falling into a lake of depth $$200~\text{m}$$ shows a $$0.1\%$$ decrease in its volume at the bottom. What is the bulk modulus of the material of the ball?
1. $$19.6\times 10^{8}~\text{N/m}^2$$
2. $$19.6\times 10^{-10}~\text{N/m}^2$$
3. $$19.6\times 10^{10}~\text{N/m}^2$$
4. $$19.6\times 10^{-8}~\text{N/m}^2$$

Subtopic:  Shear and bulk modulus |
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A uniform cube is subjected to volume compression. If each side is decreased by $$1\%$$, then bulk strain is:

 1 $$0.01$$ 2 $$0.06$$ 3 $$0.02$$ 4 $$0.03$$
Subtopic:  Shear and bulk modulus |
64%
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The compressibility of water is $$4\times 10^{-5}$$ per unit atmospheric pressure. The decrease in volume of $$100$$ cubic centimeter of water under a pressure of $$100$$ atmosphere will be:
1. $$0.4~\text{cc}$$
2. $$4\times 10^{-5}~\text{cc}$$
3. $$0.025~\text{cc}$$
4. $$0.004~\text{cc}$$

Subtopic:  Shear and bulk modulus |
63%
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The length of an elastic string is $$a$$ metre when the longitudinal tension is $$4$$ N and $$b$$ metre when the longitudinal tension is $$5$$ N. The length of the string in metre when the longitudinal tension is $$9$$ N will be:

 1 $$a-b$$ 2 $$5b-4a$$ 3 $$2b-\frac{1}{4}a$$ 4 $$4a-3b$$
Subtopic:  Hooke's Law |
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A wire of negligible mass and length $$2$$ m is stretched by hanging a $$20$$ kg load to its lower end keeping its upper end fixed. If work done in stretching the wire is $$50$$ J, then the strain produced in the wire will be:
1. $$0.5$$
2. $$0.1$$
3. $$0.4$$
4. $$0.25$$

Subtopic:  Potential energy of wire |
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The breaking stress of a wire depends on:

 1 Length of the wire 2 Applied force 3 The material of the wire 4 Area of the cross-section of the wire
Subtopic:  Stress - Strain |
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The increase in the length of a wire on stretching is $$0.04$$%. If Poisson's ratio for the material of wire is $$0.5,$$ then the diameter of the wire will:

 1 decrease by $$0.02$$%. 2 decrease by $$0.01$$%. 3 decrease by $$0.04$$%. 4 increase by $$0.03$$%.
Subtopic:  Poisson's Ratio |
73%
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A uniform wire of length $$3$$ m and mass $$10$$ kg is suspended vertically from one end and loaded at another end by a block of mass $$10$$ kg. The radius of the cross-section of the wire is $$0.1$$ m. The stress in the middle of the wire is: (Take $$g=10$$ ms-2)

 1 $$1.4 \times10^4$$ N/m2 2 $$4.8 \times10^3$$ N/m2 3 $$96 \times10^4$$ N/m2 4 $$3.5\times10^3$$ N/m2
Subtopic:  Stress - Strain |
66%
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