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Assertion (A): In an ideal fluid, separation from a continuous surfacewould not occur with a positive pressure gradient.
Reason (R): Boundary layer does not exist in ideal fluid.
Reason (R): Boundary layer does not exist in ideal fluid.
- a)Both A and R are individually true and R is the correct explanation of A
- b)Both A and R are individually true but R is not the correct explanation of A
- c)A is true but R is false
- d)A is false but R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): In an ideal fluid, separation from a continuous surface...
Ans. (a) In Ideal fluid viscosity is zero so no boundary layer is formed.
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Assertion (A): In an ideal fluid, separation from a continuous surface...
Assertion (A): In an ideal fluid, separation from a continuous surface would not occur with a positive pressure gradient.
Reason (R): Boundary layer does not exist in ideal fluid.
The correct answer is option 'A' - Both A and R are individually true and R is the correct explanation of A.
Explanation:
Definition of an Ideal Fluid:
An ideal fluid is a theoretical fluid that is inviscid (has zero viscosity), incompressible (has constant density), and flows without turbulence. In an ideal fluid, there is no energy loss due to friction, and the flow is smooth and steady.
Assertion (A): In an ideal fluid, separation from a continuous surface would not occur with a positive pressure gradient.
In an ideal fluid, separation of the fluid flow from a continuous surface occurs when the pressure gradient is negative, meaning that the pressure decreases in the direction of flow. This is because the negative pressure gradient causes the fluid particles near the surface to slow down and separate from the surface, resulting in flow separation. However, in an ideal fluid, there is no energy loss due to friction, and the flow is smooth and steady. Therefore, in an ideal fluid, a positive pressure gradient (where pressure increases in the direction of flow) would not cause flow separation from a continuous surface. Hence, Assertion (A) is true.
Reason (R): Boundary layer does not exist in an ideal fluid.
The boundary layer is a thin layer of fluid that forms near the surface of an object when it is in contact with a fluid flow. In this layer, the velocity of the fluid particles changes from zero at the surface to the velocity of the main flow away from the surface. This boundary layer is responsible for the development of skin friction and flow separation in viscous fluids.
In an ideal fluid, the viscosity is assumed to be zero. As a result, the fluid particles in an ideal fluid do not experience any frictional forces while flowing over a surface. Therefore, there is no development of a boundary layer in an ideal fluid. The absence of a boundary layer in an ideal fluid prevents flow separation from occurring, even with a positive pressure gradient. Hence, Reason (R) is also true and provides a correct explanation for Assertion (A).
Therefore, both Assertion (A) and Reason (R) are individually true, and Reason (R) is the correct explanation of Assertion (A).
Reason (R): Boundary layer does not exist in ideal fluid.
The correct answer is option 'A' - Both A and R are individually true and R is the correct explanation of A.
Explanation:
Definition of an Ideal Fluid:
An ideal fluid is a theoretical fluid that is inviscid (has zero viscosity), incompressible (has constant density), and flows without turbulence. In an ideal fluid, there is no energy loss due to friction, and the flow is smooth and steady.
Assertion (A): In an ideal fluid, separation from a continuous surface would not occur with a positive pressure gradient.
In an ideal fluid, separation of the fluid flow from a continuous surface occurs when the pressure gradient is negative, meaning that the pressure decreases in the direction of flow. This is because the negative pressure gradient causes the fluid particles near the surface to slow down and separate from the surface, resulting in flow separation. However, in an ideal fluid, there is no energy loss due to friction, and the flow is smooth and steady. Therefore, in an ideal fluid, a positive pressure gradient (where pressure increases in the direction of flow) would not cause flow separation from a continuous surface. Hence, Assertion (A) is true.
Reason (R): Boundary layer does not exist in an ideal fluid.
The boundary layer is a thin layer of fluid that forms near the surface of an object when it is in contact with a fluid flow. In this layer, the velocity of the fluid particles changes from zero at the surface to the velocity of the main flow away from the surface. This boundary layer is responsible for the development of skin friction and flow separation in viscous fluids.
In an ideal fluid, the viscosity is assumed to be zero. As a result, the fluid particles in an ideal fluid do not experience any frictional forces while flowing over a surface. Therefore, there is no development of a boundary layer in an ideal fluid. The absence of a boundary layer in an ideal fluid prevents flow separation from occurring, even with a positive pressure gradient. Hence, Reason (R) is also true and provides a correct explanation for Assertion (A).
Therefore, both Assertion (A) and Reason (R) are individually true, and Reason (R) is the correct explanation of Assertion (A).
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Assertion (A): In an ideal fluid, separation from a continuous surfacewould not occur with a positive pressure gradient.Reason (R): Boundary layer does not exist in ideal fluid.a)Both A and R are individually true and R is the correct explanation of Ab)Both A and R are individually true but R is not the correct explanation of Ac)A is true but R is falsed)A is false but R is trueCorrect answer is option 'A'. Can you explain this answer?
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