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NEET
Exam
NEET
Subject
Physics
Chapter
Mechanical Properties of Solids

NEET · Physics · Mechanical Properties of Solids

Statement (A) For an ideal liquid, the bulk modulus is infinite and...

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 140GPa.10 cm140 \mathrm{GPa} .10 \mathrm{~cm} on a edge, when subjected to a hydraulic pressure of 7×106 Pa7 \times 10^6 \mathrm{~Pa} is −0.05 m3-0.05 \mathrm{~m}^3. Statement (C) A spiral spring is stretched by a weight attached to it. The strain is tensile.

Options

  1. AA, B and C are true.
  2. BA,BA, B are true CC is false.
  3. CA,CA, C are true BB is false.
  4. DB\mathrm{B} and C\mathrm{C} are true A\mathrm{A} is false.

Correct answer

C. A,CA, C are true BB is false.

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 B=140GPa=140×109 Pa=1.4×1011 Pap=7×106 PaV=a3=(0.1)3=0.001 m3\begin{aligned} B & =140 \mathrm{GPa} \\ & =140 \times 10^9 \mathrm{~Pa} \\ & =1.4 \times 10^{11} \mathrm{~Pa} \\ p & =7 \times 10^6 \mathrm{~Pa} \\ V & =a^3=(0.1)^3 \\ & =0.001 \mathrm{~m}^3 \end{aligned}[a=10 \mathrm{~cm}=0.1 \mathrm{~m}]since,since,\quad B=\frac{p}{\left(\frac{-\Delta V}{V}\right)} ⇒1.4×1011=7×106−ΔV0.001⇒1.4×1011=7×103−ΔV\begin{aligned} & \Rightarrow 1.4 \times 10^{11}=\frac{7 \times 10^6}{\frac{-\Delta V}{0.001}} \\ & \Rightarrow 1.4 \times 10^{11}=\frac{7 \times 10^3}{-\Delta V} \end{aligned} \Rightarrow 1.4 \times 10^{11}=\frac{7 \times 10^3}{-\Delta V} ⇒ΔV=−7×1031.4×1011=−5×10−8 m3\begin{aligned} \Rightarrow \quad \Delta V & =-\frac{7 \times 10^3}{1.4 \times 10^{11}} \\ & =-5 \times 10^{-8} \mathrm{~m}^3 \end{aligned}Hence,statement(B)isincorrect.Strainproducedinspiralspringstretchedbyaweightattachedtoit,istensile.Hence,statementHence, statement (B) is incorrect. Strain produced in spiral spring stretched by a weight attached to it, is tensile. Hence, statement(C)$ is correct.
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