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Which of the following statements is correct?
The correct statement is: b) Marginal cost measures the cost per unit of output associated with any level of production. Explanation: - Statement a) is incorrect. Marginal product refers to the additional output generated by employing one more unit of a variable input (e.g., labor or capital). It doRead more
The correct statement is:
b) Marginal cost measures the cost per unit of output associated with any level of production.
Explanation:
Therefore, the correct statement is b) Marginal cost measures the cost per unit of output associated with any level of production.
See lessWhich of the following are true?
Let's evaluate each statement: a) 4 > 1: This statement is true. The number 4 is indeed greater than 1, as shown on the number line. Therefore, 4 > 1. b) -3 < -1: This statement is true. The number -3 is to the left of -1 on the number line, indicating that -3 is less than -1. Therefore, -3Read more
Let’s evaluate each statement:
a) 4 > 1: This statement is true. The number 4 is indeed greater than 1, as shown on the number line. Therefore, 4 > 1.
b) -3 < -1: This statement is true. The number -3 is to the left of -1 on the number line, indicating that -3 is less than -1. Therefore, -3 < -1.
c) 3 > 5: This statement is false. The number 3 is to the left of 5 on the number line, indicating that 3 is less than 5. Therefore, 3 is not greater than 5, and the statement is false.
d) 1 > -2: This statement is true. The number 1 is to the right of -2 on the number line, indicating that 1 is greater than -2. Therefore, 1 > -2.
Based on the evaluation of each statement, we can conclude that options a), b), and d) are true, while option c) is false.
See lessWhich of the following statements is false when describing the exergy associated with an isolated system undergoing an actual process?
The false statement when describing the exergy associated with an isolated system undergoing an actual process is: d) There are no transfers of exergy between the system and its surroundings. Explanation: Exergy is a measure of the maximum useful work that can be obtained from a system when it reachRead more
The false statement when describing the exergy associated with an isolated system undergoing an actual process is:
d) There are no transfers of exergy between the system and its surroundings.
Explanation:
Exergy is a measure of the maximum useful work that can be obtained from a system when it reaches equilibrium with its surroundings. It is a property that accounts for both the energy content and the quality of that energy. When an isolated system undergoes an actual process, several factors come into play:
a) The exergy of the system decreases: This statement is typically true. Exergy is often lost or degraded during a process due to irreversibilities such as heat transfer across a finite temperature difference or frictional losses. As a result, the exergy of the system tends to decrease.
b) The exergy of the surroundings increases: This statement is typically true. The exergy lost by the system is often transferred to the surroundings, increasing their exergy content. This transfer can occur through various forms such as heat or work.
c) Exergy destruction within the system is greater than zero: This statement is typically true. Exergy destruction refers to the irreversibilities and inefficiencies that occur during a process. These irreversibilities result in a decrease in the overall exergy of the system.
d) There are no transfers of exergy between the system and its surroundings: This statement is false. In an actual process, there can be transfers of exergy between the system and its surroundings. As mentioned in statement b, exergy lost by the system is often transferred to the surroundings, increasing their exergy content. This transfer can occur as heat or work.
In summary, the false statement is d) There are no transfers of exergy between the system and its surroundings. Exergy can be transferred between the system and its surroundings during an actual process.
See lessWhich of the following statements are correct?
The correct statements are: a) Solids have definite shape and volume. d) Liquids do not have a definite shape but have a definite volume. Explanation: a) Solids have definite shape and volume: This statement is correct. Solids are characterized by their strong intermolecular forces, which holRead more
The correct statements are:
a) Solids have definite shape and volume.
d) Liquids do not have a definite shape but have a definite volume.
Explanation:
a) Solids have definite shape and volume: This statement is correct. Solids are characterized by their strong intermolecular forces, which hold their particles tightly together in a fixed arrangement. As a result, solids maintain a definite shape and volume.
b) Liquids have definite shape and volume: This statement is incorrect. Liquids, unlike solids, do not have a definite shape. They take the shape of the container they are placed in. However, they do have a definite volume since their particles are still close together, but not as tightly packed as in a solid.
c) Solids do not have a definite shape but have a definite volume: This statement is incorrect. As mentioned earlier, solids do have a definite shape. The arrangement of particles in a solid remains fixed, giving it a specific shape.
d) Liquids do not have a definite shape but have a definite volume: This statement is correct. Liquids, unlike solids, do not have a definite shape. They take the shape of their container, allowing them to flow and adapt to its shape. However, like solids, liquids have a definite volume as their particles are still close together, albeit more loosely than in a solid.
In summary, solids have a definite shape and volume, while liquids do not have a definite shape but have a definite volume.
See lessWhich of the following statements is true?
Let's analyze each statement one by one and determine their truth values: a) There does not exist an integer b such that for a>1, a×b=b×a=b. To prove this statement true, we need to show that there is no integer b that satisfies the given conditions. Let's consider an arbitrary integer a > 1.Read more
Let’s analyze each statement one by one and determine their truth values:
a) There does not exist an integer b such that for a>1, a×b=b×a=b.
To prove this statement true, we need to show that there is no integer b that satisfies the given conditions. Let’s consider an arbitrary integer a > 1. For any value of b, we have:
a × b = a × 1 = a ≠ b
Thus, there is no integer b that satisfies the equation a × b = b × a = b. Therefore, statement a is true.
b) The product of a positive and a negative integer is positive.
This statement is false. The product of a positive integer and a negative integer is always negative. For example, if we consider 3 as a positive integer and -2 as a negative integer, we have:
3 × (-2) = -6
Since the product is -6, which is negative, the statement is false.
c) Subtraction follows the commutative property.
This statement is false. The commutative property of subtraction does not hold. For example:
5 – 3 = 2
3 – 5 = -2
Since 2 and -2 are not equal, subtraction does not follow the commutative property.
The correct answer is a) There does not exist an integer b such that for a>1, a×b=b×a=b.
See lessWhich of the following statements are true? There can be multiple true statements; indicate all of them.
Let's analyze each statement one by one: a) If a function f(x) is differentiable at x=t, it also has to be continuous at x=t. This statement is true. According to the definition of differentiability, if a function is differentiable at a point, it must be continuous at that point. Differentiability iRead more
Let’s analyze each statement one by one:
a) If a function f(x) is differentiable at x=t, it also has to be continuous at x=t.
This statement is true. According to the definition of differentiability, if a function is differentiable at a point, it must be continuous at that point. Differentiability implies continuity.
b) If a function f(x) is continuous at x=t, it also has to be differentiable at x=t.
This statement is not true. Continuous functions do not necessarily have to be differentiable. There exist continuous functions that are not differentiable at certain points.
c) If a function f(x) is not differentiable at x=t, it cannot be continuous at x=t.
This statement is not true. A function can be continuous at a point even if it is not differentiable at that point. Differentiability is a stronger condition than continuity.
d) If a function f(x) is not continuous at x=t, it cannot be differentiable at x=t.
This statement is true. If a function is not continuous at a point, it cannot be differentiable at that point. Differentiability requires continuity.
e) If a function f(x) is differentiable at x=t, then lim (x→t) f(x)=f(t).
This statement is true. If a function is differentiable at a point, then it is also continuous at that point. The limit of the function as x approaches t will be equal to the value of the function at t.
f) If lim (x→t) f(x)=f(t), then f is differentiable at x=t.
This statement is not true. The existence of the limit does not imply differentiability. A function can have a limit at a point without being differentiable at that point.
In summary, the true statements are:
a) If a function f(x) is differentiable at x=t, it also has to be continuous at x=t.
d) If a function f(x) is not continuous at x=t, it cannot be differentiable at x=t.
e) If a function f(x) is differentiable at x=t, then lim (x→t) f(x)=f(t).
See lessWhich one has stronger Debye forces?
To determine which one has stronger Debye forces, let's consider the nature of Debye forces and the properties of the given substances. Debye forces, also known as London dispersion forces or van der Waals forces, are weak intermolecular forces that arise due to temporary fluctuations in electron diRead more
To determine which one has stronger Debye forces, let’s consider the nature of Debye forces and the properties of the given substances.
Debye forces, also known as London dispersion forces or van der Waals forces, are weak intermolecular forces that arise due to temporary fluctuations in electron distribution. These forces occur between all molecules, including noble gases and polar molecules.
Now, let’s analyze the given options:
(a) Ne, HCl:
Ne represents neon, which is a noble gas. Noble gases have complete valence electron shells and are therefore non-polar. HCl, on the other hand, is a polar molecule because it consists of a highly electronegative atom (chlorine) and a less electronegative atom (hydrogen). Polar molecules tend to have stronger intermolecular forces than non-polar molecules due to the presence of permanent dipoles.
In this case, HCl would have stronger Debye forces compared to Ne because of its polar nature. The dipole-dipole interactions in HCl contribute to stronger intermolecular forces.
(b) He, HCl:
He represents helium, another noble gas. As mentioned before, noble gases have complete valence electron shells, making them non-polar. HCl is still a polar molecule due to the electronegativity difference between hydrogen and chlorine.
Similarly to the previous case, HCl would have stronger Debye forces compared to He because of its polar nature. The presence of permanent dipoles in HCl allows for stronger intermolecular attractions.
In both cases, the polar molecule HCl would exhibit stronger Debye forces compared to the noble gases (Ne and He) due to the dipole-dipole interactions resulting from the polarity of HCl.
See less