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Modulus of rigidity of a liquid...

Modulus of rigidity of a liquid

A

Non-zero constant

B

Infinite

C

Zero

D

Cannot be predicted

Text Solution

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The correct Answer is:
To determine the modulus of rigidity of a liquid, we need to understand the relevant concepts in elasticity. The modulus of rigidity, also known as shear modulus, is a measure of a material's ability to resist shear deformation. However, liquids do not have a shear modulus in the same way that solids do because they cannot maintain a shape under shear stress. Instead, we refer to the bulk modulus for liquids. ### Step-by-Step Solution: 1. **Understand the Terms**: - **Modulus of Rigidity (Shear Modulus)**: This is defined for solids and measures the material's response to shear stress. - **Bulk Modulus**: This is defined for liquids and measures the material's response to uniform pressure applied in all directions. 2. **Identify the Modulus for Liquids**: - For liquids, the relevant modulus is the bulk modulus (denoted as \( K \)). The bulk modulus quantifies how incompressible a liquid is when pressure is applied. 3. **Conclusion**: - Since the question asks about the modulus of rigidity of a liquid, the correct answer is that it is represented by the bulk modulus. Therefore, the modulus of rigidity of a liquid is effectively the bulk modulus. ### Final Answer: The modulus of rigidity of a liquid is the bulk modulus. ---

To determine the modulus of rigidity of a liquid, we need to understand the relevant concepts in elasticity. The modulus of rigidity, also known as shear modulus, is a measure of a material's ability to resist shear deformation. However, liquids do not have a shear modulus in the same way that solids do because they cannot maintain a shape under shear stress. Instead, we refer to the bulk modulus for liquids. ### Step-by-Step Solution: 1. **Understand the Terms**: - **Modulus of Rigidity (Shear Modulus)**: This is defined for solids and measures the material's response to shear stress. - **Bulk Modulus**: This is defined for liquids and measures the material's response to uniform pressure applied in all directions. ...
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Modulus of rigidity of a Ideal liquid

With regard to dependence of quantities given in column I and II, match the following. {:(,"Column I",,"Column II"),((A),"Young's modulus of a substance ",(p),"Depends on temperature"),((B),"Bulk modulus of a substance",(q),"Depends on length"),((C),"Modulus of rigidity of a substance",(r),"Depends on area of cross-section"),((D),"Volume of a substance",(s),"Depends on the nature of material"):}

Knowledge Check

  • Modulus it rigidity of ideal liquids is

    A
    infinity
    B
    zero
    C
    unity
    D
    some finite small non-zero constant value.
  • For most materials the Youngs modulus is n times the modulus of rigidity, where n is

    A
    2
    B
    3
    C
    4
    D
    5
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    Statement-1 : Partially transwave waves are possible on a liquid surface Statement-2 : Surface tension provide some rigidity on a liquid surface

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    A rectangular metallic bar one metre long, one cm deep and one cm broad is placed on a smooth table. The Young's modulus and modulus of rigidity of metal of the bar are 2 xx 10^(11) N//m^(2) and 8 xx 10^(10) N //m^(2) respectively. If the bar is rigidity clamped at one end is pulled at the other end with a force 5000 N applied normaly to its end cross-section, calculate the elongation of the bar and the work done in elongating the bar.

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