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    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 106 Pa.

    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 106 Pa.

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    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 106 Pa.

    Question

    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 ×106 Pa.

    Open in App Solution

    Length of an edge of the solid copper cube, = 10 cm = 0.1 m

    Hydraulic pressure, = 7.0 ×106 Pa

    Bulk modulus of copper, = 140 × 109 Pa

    Where, = Volumetric strain

    Δ = Change in volume

    = Original volume.

    Original volume of the cube, = 3

    Therefore, the volume contraction of the solid copper cube is 5 × 10–2 cm–3.

    Suggest Corrections 6

    SIMILAR QUESTIONS

    Q. Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10⁶ Pa.Q. Determine the volume contraction of a solid copper cube,

    10 c m

    on an edge, when subjected to a hydraulic pressure of

    7.0 × 10 6 P a

    . (Bulk modulus of copper,

    B = 140 × 10 9 P a )

    Q. Determine the volume contraction of a solid copper cube,

    10 c m

    on an edge, when subject to a hydraulic pressure of

    7 × 10 6 P a . K for copper = 140 × 10 9 Pa.

    Q. A solid copper cube of edge

    10 cm

    is subjected to a hydraulic pressure of

    7 × 10 6 Pa

    . If compressibility of copper is

    1 140 GPa − 1

    , then contraction in its volume will be

    Q. A solid cube of copper of edge 10 cm subjected to a hydraulic pressure of 7 x

    10 6

    pascal. If Bulk modulus of copper is 140 GPa, then contraction in its volume will be:

    View More

    स्रोत : byjus.com

    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10^6 Pa . (Bulk modulus of copper, B = 140 × 10^9Pa )

    Click here👆to get an answer to your question ✍️ Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 × 10^6 Pa . (Bulk modulus of copper, B = 140 × 10^9Pa )

    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0×10

    Question 6

    Pa. (Bulk modulus of copper, B=140×10

    9 Pa) Medium Open in App

    Updated on : 2022-09-05

    Using formula

    Solution Verified by Toppr K=− V δV ​ P ​ We get δV=− K PV ​ =− 140×10 9 7×10 6 ×0.001 ​ =−0.05×10 −6 m 3 Video Explanation

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    स्रोत : www.toppr.com

    Determine the Volume Contraction of a Solid Copper Cube, 10 Cm on an Edge, When Subjected to a Hydraulic Pressure of 7.0 ×106 Pa.

    Determine the Volume Contraction of a Solid Copper Cube, 10 Cm on an Edge, When Subjected to a Hydraulic Pressure of 7.0 ×106 Pa.

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    Determine the volume contraction of a solid copper cube, 10 cm on an edge, when subjected to a hydraulic pressure of 7.0 ×106 Pa.

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    SOLUTION 1

    Length of an edge of the solid copper cube, l = 10 cm = 0.1 m

    Hydraulic pressure, p = 7.0 ×106 Pa

    Bulk modulus of copper, B = 140 × 109 Pa

    Bulk Modulus, B=p△VV Where △VV = Volumetric strain

    ΔV = Change in volume

    V = Original volume.

    △V=pVB

    Original volume of the cube,

    V=β ∴△V=pl3B

    =7×106×(0.1)3140×109

    = 5 x 10-8 m3 = 5 x 10-2 cm-3

    Therefore, the volume contraction of the solid copper cube is 5 × 10–2 cm–3.

    SOLUTION 2

    Here a side of copper cube a = 10 cm, hence volume V = a3 = 10-3 m3 , hydraulic pressure applied p = 7.0 x 106 Pa and from table we find that bulk modulus of copper B = 140 G Pa = 140 x 109 Pa.

    Using the relation B =p△VV

    we have decreased in

    volume △V =PVB

    ∴△V=7.0×106×10-3140×109=5×10-8m3=5×10-2cm3

    Concept: Stress and Strain

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    Chapter 9: Mechanical Properties of Solids - Exercises [Page 244]

    Q 15 Q 14 Q 16

    APPEARS IN

    NCERT Class 11 Physics

    Chapter 9 Mechanical Properties of Solids

    Exercises | Q 15 | Page 244

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