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There are four variables, namely, E (volumeN modulus of elasticity), p (pressure per unit area),g (acceleration due to gravity) and 00 (viscosity of water). They are associated with mach, Euler,Froude and Reynolds numbers, respectively, in the order.
- a)E, p, OO, g
- b)p, E,OO g
- c)p, E, g, OO
- d)E, p, g, OO
Correct answer is option 'D'. Can you explain this answer?
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There are four variables, namely, E (volumeN modulus of elasticity), p...
Explanation:
The variables E, p, g, and 00 are associated with the Mach, Euler, Froude, and Reynolds numbers, respectively. Let's break down each variable and its corresponding number to understand their association.
Mach Number (M):
- The Mach number represents the ratio of the speed of an object to the speed of sound in the medium through which it is traveling.
- It is denoted by the symbol M.
- The Mach number is associated with the volume modulus of elasticity (E).
Euler Number (Eu):
- The Euler number is a dimensionless parameter used in fluid dynamics.
- It represents the ratio of the pressure difference across a fluid element to the product of the fluid density and the square of the velocity of the fluid element.
- It is denoted by the symbol Eu.
- The Euler number is associated with the pressure per unit area (p).
Froude Number (Fr):
- The Froude number is a dimensionless parameter used in the study of fluid flow.
- It represents the ratio of the inertia forces to the gravitational forces in a fluid system.
- It is denoted by the symbol Fr.
- The Froude number is associated with the acceleration due to gravity (g).
Reynolds Number (Re):
- The Reynolds number is a dimensionless parameter used to predict the flow behavior of a fluid.
- It represents the ratio of inertial forces to viscous forces within a fluid.
- It is denoted by the symbol Re.
- The Reynolds number is associated with the viscosity of water (00).
Association of Variables:
Based on the above explanations, we can determine the correct order of variables associated with the Mach, Euler, Froude, and Reynolds numbers:
- E (volume modulus of elasticity) is associated with the Mach number (M).
- p (pressure per unit area) is associated with the Euler number (Eu).
- g (acceleration due to gravity) is associated with the Froude number (Fr).
- 00 (viscosity of water) is associated with the Reynolds number (Re).
Therefore, the correct order of variables associated with the Mach, Euler, Froude, and Reynolds numbers is:
d) E, p, g, 00
The variables E, p, g, and 00 are associated with the Mach, Euler, Froude, and Reynolds numbers, respectively. Let's break down each variable and its corresponding number to understand their association.
Mach Number (M):
- The Mach number represents the ratio of the speed of an object to the speed of sound in the medium through which it is traveling.
- It is denoted by the symbol M.
- The Mach number is associated with the volume modulus of elasticity (E).
Euler Number (Eu):
- The Euler number is a dimensionless parameter used in fluid dynamics.
- It represents the ratio of the pressure difference across a fluid element to the product of the fluid density and the square of the velocity of the fluid element.
- It is denoted by the symbol Eu.
- The Euler number is associated with the pressure per unit area (p).
Froude Number (Fr):
- The Froude number is a dimensionless parameter used in the study of fluid flow.
- It represents the ratio of the inertia forces to the gravitational forces in a fluid system.
- It is denoted by the symbol Fr.
- The Froude number is associated with the acceleration due to gravity (g).
Reynolds Number (Re):
- The Reynolds number is a dimensionless parameter used to predict the flow behavior of a fluid.
- It represents the ratio of inertial forces to viscous forces within a fluid.
- It is denoted by the symbol Re.
- The Reynolds number is associated with the viscosity of water (00).
Association of Variables:
Based on the above explanations, we can determine the correct order of variables associated with the Mach, Euler, Froude, and Reynolds numbers:
- E (volume modulus of elasticity) is associated with the Mach number (M).
- p (pressure per unit area) is associated with the Euler number (Eu).
- g (acceleration due to gravity) is associated with the Froude number (Fr).
- 00 (viscosity of water) is associated with the Reynolds number (Re).
Therefore, the correct order of variables associated with the Mach, Euler, Froude, and Reynolds numbers is:
d) E, p, g, 00
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There are four variables, namely, E (volumeN modulus of elasticity), p (pressure per unit area),g (acceleration due to gravity) and 00 (viscosity of water). They are associated with mach, Euler,Froude and Reynolds numbers, respectively, in the order.a)E, p, OO, gb)p, E,OO gc)p, E, g, OOd)E, p, g, OOCorrect answer is option 'D'. Can you explain this answer?
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