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Assertion (A): Pressure is equal in all directions at a point in an ideal fluid flow.
Reason (R): Pascal's law is valid for all fluids.
Reason (R): Pascal's law is valid for all fluids.
- a)A is true, R is true, and it explains A
- b)A is true, R is true, but it does not explain A
- c)A is true, R is false
- d)A is false, R is true
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): Pressure is equal in all directions at a point in an id...
• Assertion (A): Pressure is equal in all directions at a point in an ideal fluid flow.
• Reason (R): Pascal's law is valid for all fluids.
Explanation:
• Pascal’s law states that the pressure applied to an enclosed fluid is transmitted equally in all directions without any loss. This law is applicable to both liquids and gases.
• In an ideal fluid flow, the fluid is assumed to be incompressible and have no viscosity. Due to this, the fluid particles can move freely without any resistance.
• At a point in an ideal fluid flow, the pressure is exerted equally in all directions. This is because the pressure at a point in a fluid is dependent only on the depth of the fluid column above that point.
• The pressure at a point in a fluid is given by the formula P = ρgh, where P is pressure, ρ is density, g is acceleration due to gravity, and h is depth.
• As the depth of the fluid column above a point is the same in all directions, the pressure at that point is also the same in all directions.
• Therefore, the assertion is true.
• Pascal’s law is applicable to all fluids, whether ideal or real. It states that the pressure applied to an enclosed fluid is transmitted equally in all directions without any loss.
• Therefore, the reason is also true.
• The reason explains the assertion.
• Hence, option A is the correct answer.
• Reason (R): Pascal's law is valid for all fluids.
Explanation:
• Pascal’s law states that the pressure applied to an enclosed fluid is transmitted equally in all directions without any loss. This law is applicable to both liquids and gases.
• In an ideal fluid flow, the fluid is assumed to be incompressible and have no viscosity. Due to this, the fluid particles can move freely without any resistance.
• At a point in an ideal fluid flow, the pressure is exerted equally in all directions. This is because the pressure at a point in a fluid is dependent only on the depth of the fluid column above that point.
• The pressure at a point in a fluid is given by the formula P = ρgh, where P is pressure, ρ is density, g is acceleration due to gravity, and h is depth.
• As the depth of the fluid column above a point is the same in all directions, the pressure at that point is also the same in all directions.
• Therefore, the assertion is true.
• Pascal’s law is applicable to all fluids, whether ideal or real. It states that the pressure applied to an enclosed fluid is transmitted equally in all directions without any loss.
• Therefore, the reason is also true.
• The reason explains the assertion.
• Hence, option A is the correct answer.
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Assertion (A): Pressure is equal in all directions at a point in an id...
- Pascal’s principle: Pascal’s Law is the principle of transmission of fluid pressure.
- It says that "a pressure exerted anywhere in a point of the confined fluid is transmitted equally in all directions throughout the fluid”.
- It says that "a pressure exerted anywhere in a point of the confined fluid is transmitted equally in all directions throughout the fluid”.
- From the above fig., we can see that the force against area within a fluid at rest will always experience pressure perpendicular to its surface area, and the object will experience equal pressure throughout the surface.
- And there are a number of devices, such as hydraulic lifts and hydraulic brakes, that are based on Pascal’s law, these devices used fluids for transmitting pressure.
- From the above explanation we can see that according to Pascal’s law, pressure in a fluid at rest is the same at all points if they are at the same height.
- From the above fig., we can see that the force against area within a fluid at rest will always experience pressure perpendicular to its surface area, and the object will experience equal pressure throughout the surface.
- And there are a number of devices, such as hydraulic lifts and hydraulic brakes, that are based on Pascal’s law, these devices used fluids for transmitting pressure.
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Assertion (A): Pressure is equal in all directions at a point in an ideal fluid flow.Reason (R): Pascals law is valid for all fluids.a)A is true, R is true, and it explains Ab)A is true, R is true, but it does not explain Ac)A is true, R is falsed)A is false, R is trueCorrect answer is option 'A'. Can you explain this answer?
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