Statement (A) For an ideal liquid, the bulk modulus is infinite and the shear modulus is zero. Statement (B) The volume contraction of a metal cube of bulk modulus 140 GPa .10 ~cm on a edge, when subjected to a hydraulic pressure of 7 10^6 ~Pa is -0.05 ~m ^3 . Statement (C) A spiral spring is stretched by a weight attached to it. The strain is tensile.

Step-by-step solution

For an ideal liquid, the bulk modulus, is infinite and shear modulus is zero. Hence, statement (A) is correct. In statement (B), Bulk modulus aligned B & =140 GPa & =140 10^9 ~Pa & =1.4 10¹¹ ~Pa p & =7 10^6 ~Pa V & =a^3=(0.1)^3 & =0.001 ~m ^3 aligned [a=10 ~cm =0.1 ~m ] since, B= p ( - V V ) aligned & 1.4 10¹¹= 7 10^6 - V 0.001 & 1.4 10¹¹= 7 10^3 - V aligned 1.4 10¹¹= 7 10^3 - V aligned V & =- 7 10^3 1.4 10¹¹ & =-5 10⁻⁸ ~m ^3 aligned Hence, statement (B) is incorrect. Strain produced in spiral spring stretched by a