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 140×109 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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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 |
 73%
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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 |
From NCERT
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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%
From NCERT
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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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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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