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Consider the following statements and identify the correct answer.
STATEMENT (A) : The breaking stress of a wire depends on nature of material of the wire.
STATEMENT (B) : For an ideal liquid, the shear modulus is infinite and the bulk modulus is zero.
STATEMENT (C) : Shear modulus (or modulus of rigidity) is generally less than Young’s modulus. For most materials G $\approx$ Y/3.

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Only A is true

A and B are only true

A and C are only true

A, B and C are true

answer is C.

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Detailed Solution

The breaking stress of a wire depends on nature of material of the wire
For an ideal liquid, the shear modulus is zero and the bulk modulus is infinite.
shear modulus is generally less than Young’s modulus. For most materials G $\approx$ Y/3.

$Y = 2 G (1 + σ) \Rightarrow G = \frac{Y}{2 (1 + σ)} \Rightarrow G ≅ \frac{Y}{3}$

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