Question:

Match List-I with List-II.

List-I (Property)List-II (Fluid type)
(A)Apparent viscosity decreases with increasing deformation rate(I)Dilatant fluids
(B)Shear stress is directly proportional to rate of deformation(II)Newtonian fluids
(C)Behaves as a solid until a minimum yield stress is exceeded and subsequently exhibits a linear relation between stress and rate of deformation(III)Pseudoplastic fluids
(D)Viscosity increases with increasing deformation rate(IV)Bingham-plastic fluids
(E)Shear stress is not directly proportional to deformation rate(V)Non-Newtonian fluids

Choose the correct answer from the options given below.

Show Hint

Recall which fluid type gets thinner with shearing, which gets thicker, and which needs a yield stress before it starts to flow.
  • (A) - (III), (B) - (II), (C) - (IV), (D) - (I), (E) - (V)
  • (A) - (II), (B) - (V), (C) - (I), (D) - (III), (E) - (IV)
  • (A) - (IV), (B) - (I), (C) - (V), (D) - (II), (E) - (III)
  • (A) - (V), (B) - (III), (C) - (IV), (D) - (II), (E) - (I)
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The Correct Option is A

Solution and Explanation

Step 1: Take each property in List-I and match it to the fluid behaviour it describes.

Step 2: (A) says apparent viscosity falls as the deformation rate rises. That is shear thinning, which is the definition of a pseudoplastic fluid, so (A) - (III).

Step 3: (B) says shear stress is directly proportional to the rate of deformation. That is the basic definition of a Newtonian fluid, so (B) - (II).

Step 4: (C) says the fluid behaves like a solid until a yield stress is crossed, then stress and strain rate become linearly related. That is exactly how a Bingham plastic fluid behaves, so (C) - (IV).

Step 5: (D) says viscosity increases as the deformation rate increases. That is shear thickening, the behaviour of a dilatant fluid, so (D) - (I).

Step 6: (E) says shear stress is not directly proportional to deformation rate. This is simply the general definition of a non-Newtonian fluid (it covers dilatant, pseudoplastic and Bingham plastic fluids together), so (E) - (V).

Step 7: Putting it together gives (A)-(III), (B)-(II), (C)-(IV), (D)-(I), (E)-(V), which is option 1. The other options mix up shear thinning with shear thickening or misplace the Bingham plastic and Newtonian definitions.
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