Properties of solid and fluid questions with solutions

Showing 1–10 of 366 questions

• A/RmediumProperties of solid and fluidSurface Tension, Surface Energy and Their Applications

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  Small liquid drops are approximately spherical when strong external forces such as gravity are negligible.

  Reason

  For a fixed volume, a sphere has the minimum surface area, and surface tension tends to minimize surface energy.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• A/ReasyProperties of solid and fluidElastic Properties of Solids: Stress, Strain and Elastic Moduli

  Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) In the light of the above statements, choose the correct answer from the options given below :

  Assertion

  Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity.

  Reason

  Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid.

  Options

  • Option A

    (A) is false but (R) is true

  • Option B

    (A) is true but (R) is false

  • Option C

    Both (A) and (R) are true and (R) is the correct explanation (A)

  • Option D

    Both (A) and (R) are true but (R) is not the correct explanation of (A)

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  JEE Mains 2024 27 Jan Evening Shift

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• MCQmediumProperties of solid and fluidViscosity, Stokes' Law and Terminal Velocity

  A sphere of radius r and density ρₛ is already moving with terminal speed through a liquid of density ρₗ. It falls a further vertical distance H. Assuming Stokes' law and constant terminal speed, how much heat is generated by viscous dissipation during this distance?

  Options

  • Option A

    4πr³(ρₛ-ρₗ)gH/3

  • Option B

    8πr⁵(ρₛ-ρₗ)²g²H/(27η)

  • Option C

    6πηrvₜ²H

  • Option D

    2πr²SH

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• MCQmediumProperties of solid and fluidViscosity, Stokes' Law and Terminal Velocity

  A small spherical ball of radius r, falling through a viscous medium of negligible density has terminal velocity 'v'. Another ball of the same mass but of radius 2r, falling through the same viscous medium will have terminal velocity:

  Options

  • Option A

    v/2

  • Option B

    v/4

  • Option C

    4v

  • Option D

    2v

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• NumericeasyProperties of solid and fluidSurface Tension, Surface Energy and Their Applications

  A big drop is formed by coalescing 1000 small identical drops of water. If E₁ be the total surface energy of 1000 small drops of water and E₂ be the surface energy of single big drop of water, the E₁ : E₂ is x : 1 where x = ________.

  Your answer

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• MCQmediumProperties of solid and fluid

  A cubical block of side a and density ρ slides down a fixed plane inclined at 37° with constant speed v. A viscous liquid film of thickness t lies between block and plane. Find the coefficient of viscosity.

  

  Options

  • Option A

    3ρagt/(5v)

  • Option B

    4ρagt/(5v)

  • Option C

    ρagt/v

  • Option D

    None of these

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• MCQeasyProperties of solid and fluidViscosity, Stokes' Law and Terminal Velocity

  A flat-bottomed body of contact area A moves with constant speed v over a fixed horizontal surface, with a Newtonian liquid layer of thickness D between them. If the velocity profile in the liquid is approximately linear and the liquid viscosity is η, what is the viscous resistance on the moving body?

  Options

  • Option A

    ηAD/v

  • Option B

    ηAv/D

  • Option C

    ηDv/A

  • Option D

    ηA/(Dv)

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• NumericeasyProperties of solid and fluidViscosity, Stokes' Law and Terminal Velocity

  A sphere moving under Stokes drag has time constant 2 s. Starting from rest, the time required to reach half its terminal speed is N ln2 seconds. Find N.

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• MCQmediumProperties of solid and fluidSurface Tension, Surface Energy and Their Applications

  One spherical liquid drop of radius R is broken into n equal smaller drops without loss of liquid. The surface tension is S. What minimum work must be supplied to create the additional surface area?

  Options

  • Option A

    4πSR²(∛n - 1)

  • Option B

    4πSR²[(∛n)² - 1]

  • Option C

    8πSR²(∛n - 1)

  • Option D

    4πSR²[1 - 1/∛n]

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• MatchmediumProperties of solid and fluid

  Match each rod configuration in List-I with all applicable results in List-II.

  List 1

  1. 

  2. 

  3. 

  4. 

  5. E..

  List 2

  1. (P) Total elongation = mgL/(2AY)

  2. (Q) Total elongation = mgL/(AY)

  3. (R) Uniform stress develops

  4. (S) Non-uniform stress develops

  5. (T) Elastic energy = m²g²L/(6AY)

  Options

  • Option A

    (A-P,S,T), (B-P,S,T), (C-Q,R), (D-Q,S)

  • Option B

    (A-Q,S,T), (B-P,S,T), (C-Q,R), (D-Q,S)

  • Option C

    (A-P,S,T), (B-P,S,T), (C-R,R), (D-Q,S)

  • Option D

    (A-P,S,T), (B-P,S,T), (C-Q,S), (D-Q,S)

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