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 |
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The average depth of the Indian Ocean is about $$3000$$ m. The fractional compression, $$\frac{\Delta V}{V},$$ of water at the bottom of the ocean is?
(Given that the bulk modulus of water is $$2.2\times10^{9}$$ Nm-2 and $$g=10$$ ms-2)
1. $$1.36\times10^{-3}$$
2. $$2.36\times10^{-3}$$
3. $$1.36\times10^{-2}$$
4. $$2.36\times10^{-2}$$

Subtopic:  Shear and bulk modulus |
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Given below are two statements:
 Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring. Reason (R): A coil spring of copper has more tensile strength than a steel spring of the same dimensions.

 1 Both (A) and (R) are True and (R) is the correct explanation of (A). 2 Both (A) and (R) are True but (R) is not the correct explanation of (A). 3 (A) is False but (R) is True. 4 (A) is True but (R) is False.
Subtopic:  Shear and bulk modulus |
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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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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 |
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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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