# A mild steel wire of length $$\mathrm{2L}$$ and cross-sectional area $$A$$ is stretched, well within the elastic limit, horizontally between two pillars (figure). A mass $$m$$ is suspended from the mid-point of the wire. Strain in the wire is:      1. $$\frac{x^2}{2 L^2}$$ 2. $$\frac{x}{\mathrm{~L}}$$ 3. $$\frac{x^2}{L}$$ 4. $$\frac{x^2}{2L}$$

Subtopic:  Stress - Strain |
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The maximum load a wire can withstand without breaking when its length is reduced to half of its original length, will:

 1 be doubled 2 be halved 3 be four times 4 remain the same

Subtopic:  Stress - Strain |
60%
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The modulus of rigidity of the ideal liquid is:

 1 infinity 2 zero 3 unity 4 some finite small non-zero constant value
Subtopic:  Shear and bulk modulus |
66%
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Hooke's law is applicable for:

 1 elastic materials only 2 plastic materials only 3 elastomers only 4 all of these

Subtopic:  Hooke's Law |
68%
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How much should the pressure on a litre of water be changed to compress it by $$0.10 \%?$$
(Given Bulk modulus of water, $$B=2.2\times 10^9$$ N-m-2)
1. $$4.8 \times 10^6$$ N/m2
2. $$2.2 \times 10^6$$ N/m2
3. $$5.1 \times 10^6$$ N/m2
4. $$3.3 \times 10^6$$ N/m2

Subtopic:  Shear and bulk modulus |
88%
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The volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of $$7.0\times10^6$$ Pa is: (Bulk modulus of copper is $140×{10}^{9}$ $\mathrm{Pa}$.)
1. $$3.1 \times 10^{-2} \mathrm{~m}^3$$
2. $$9.1 \times 10^{-3} \mathrm{~cm}^3$$
3. $$5.0 \times 10^{-2} \mathrm{~cm}^3$$
4. $$7.9 \times 10^{-2} \mathrm{~cm}^3$$

Subtopic:  Shear and bulk modulus |
81%
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Two wires of diameter $$0.25$$ cm, one made of steel and the other made of brass are loaded, as shown in the figure. The unloaded length of the steel wire is $$1.5$$ m and that of the brass wire is $$1.0$$ m. The elongation of the steel wire will be:
(Given that Young's modulus of the steel, $$Y_S=2 \times 10^{11}$$ Pa$\mathrm{}$ and Young's modulus of brass, $$Y_B=1 \times 10^{11}$$ Pa)

 1 $$1.5 \times 10^{-4}$$ m 2 $$0.5 \times 10^{-4}$$ m 3 $$3.5 \times 10^{-4}$$ m 4 $$2.5 \times 10^{-4}$$ m
Subtopic:  Young's modulus |
55%
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The edge of an aluminium cube is $$10$$ cm long. One face of the cube is firmly fixed to a vertical wall. A mass of $$100$$ kg is then attached to the opposite face of the cube. The shear modulus of aluminium is $$25$$ GPa. What is the vertical deflection of this face?
1. $$4.86 \times10^{-6}$$ m
2. $$3.92 \times 10^{-7}$$ m
3. $$3.01 \times10^{-6}$$ m
4. $$6.36 \times10^{-7}$$ m

Subtopic:  Shear and bulk modulus |
66%
From NCERT
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The stress-strain graphs for materials $$A$$ and $$B$$ are shown in the figure. Strength of material $$A$$ is:
(The graphs are drawn to the same scale)

 1 greater than material $$B$$ 2 equal to material $$B$$ 3 less than material $$B$$ 4 insufficient data

Subtopic:  Stress - Strain Curve |
72%
From NCERT
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The figure shows the strain-stress curve for a given material. What is Young’s modulus for this material?

1. $$7.5\times10^{11}~\text{Nm}^{-2}$$
2. $$7.5\times10^{10}~\text{Nm}^{-2}$$
3. $$7.5\times10^{9}~\text{Nm}^{-2}$$
4. $$7.5\times10^{-10}~\text{Nm}^{-2}$$

Subtopic:  Stress - Strain Curve |
79%
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