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Properties of Matter question

2023 · 6 Apr · Shift 2 · Q50
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Properties of Matter question

2023 · 6 Apr · Shift 2 · Q50

JEE MainPhysicsProperties of MatterMCQ+4 / −1
Given below are two statements: one is labelled as Assertion A\mathbf{A}A and the other is labelled as Reason R\mathbf{R}R Assertion A: When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is observed. Reason R: A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container. In the light of the above statements, choose the most appropriate answer from the options given below
  1. A
    Both A and R are correct but R is NOT the correct explanation of A
  2. B
    A is not correct but R is correct
  3. C
    A is correct but R is not correct
  4. D
    Both A and B are correct and R is the correct explanation of A
View written solutionFree

Correct answer: D

  1. Identify the principle involved

    Pascal’s principle states:

    Any change in pressure applied to an enclosed incompressible fluid is transmitted undiminished throughout the fluid and to the walls of the container.

    Mathematically, if pressure change ΔP\Delta PΔP is applied at one point in a confined fluid, then the same ΔP\Delta PΔP is transmitted everywhere: ΔPeverywhere=ΔPapplied\Delta P_{\text{everywhere}} = \Delta P_{\text{applied}}ΔPeverywhere​=ΔPapplied​

  2. Check Assertion A

    Assertion A says:

    When you squeeze one end of a tube to get toothpaste out from the other end, Pascal's principle is observed.

    This is essentially correct in the school-level sense. When the tube is squeezed, pressure is applied to the toothpaste inside the tube, and that pressure is transmitted through the paste, forcing it out through the opening.

    So, Assertion A is correct.

  3. Check Reason R

    Reason R says:

    A change in the pressure applied to an enclosed incompressible fluid is transmitted undiminished to every portion of the fluid and to the walls of its container.

    This is the correct statement of Pascal’s law/principle.

    So, Reason R is correct.

  4. See whether R explains A

    In the toothpaste tube, when one end is squeezed, the applied pressure is transmitted through the toothpaste inside the tube, and this causes toothpaste to come out from the open end.

    Therefore, R correctly explains A.

  5. Choose the correct option

    The intended option is:

    • Both A and R are correct, and R is the correct explanation of A.

    From the listed options, this corresponds to Option D (clearly intended despite the typo "Both A and B").

Final Answer

D\boxed{\text{D}}D​

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