# A vessel of $$1\times 10^{-3}$$ m3 volume contains oil. When a pressure of $$1.2 \times10^5$$ N/m2 is applied on it, then volume decreases by $$0.3 \times 10^{-6}$$ m3. The bulk modulus of oil is: 1. $$1 \times 10^6~\text{N/m}^2$$ 2. $$2 \times 10^7~\text{N/m}^2$$ 3. $$4 \times 10^8~\text{N/m}^2$$ 4. $$6 \times 10^{10}~\text{N/m}^2$$

Subtopic:  Shear and bulk modulus |
86%
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The stress-strain curves are drawn for two different materials $$X$$ and $$Y.$$ It is observed that the ultimate strength point and the fracture point are close to each other for material $$X$$ but are far apart for material $$Y.$$ We can say that the materials $$X$$ and $$Y$$ are likely to be (respectively):

 1 ductile and brittle 2 brittle and ductile 3 brittle and plastic 4 plastic and ductile
Subtopic:  Stress - Strain Curve |
81%
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NEET - 2019
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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 |
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 |
76%
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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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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 |
65%
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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 |
82%
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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 |
77%
From NCERT
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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 |
85%
From NCERT
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The stress versus strain graphs for wires of two materials $$A$$ and $$B$$ are as shown in the figure. If $$Y_A$$ $\mathrm{and}$ $$Y_B$$ are the Young's moduli of the materials, then:

 1 $$Y_B = 2Y_A$$ 2 $$Y_A = Y_B$$ 3 $$Y_B = 3Y_A$$ 4 $$Y_A =3 Y_B$$
Subtopic:  Stress - Strain Curve |
77%
From NCERT
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