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The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as __________
- a)The first part of the statement is false and other part is true
- b)The first part of the statement is false and other part is false too
- c)The first part of the statement is true and other part is false
- d)The first part of the statement is true and other part is true too
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The couple is a scalar quantity and the force is vector quantity and h...
Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D.
Most Upvoted Answer
The couple is a scalar quantity and the force is vector quantity and h...
Explanation:
The given statement is "The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified."
To understand whether the given statement is true or false, let's first define the terms couple, scalar quantity, and vector quantity.
Couple:
In physics, a couple refers to a pair of equal and opposite forces acting on a body but not along the same line. The couple produces a turning effect or torque on the body without any translational motion. It is a pure rotational force.
Scalar Quantity:
A scalar quantity is a physical quantity that only has magnitude and no direction. Examples of scalar quantities include mass, temperature, speed, and time.
Vector Quantity:
A vector quantity is a physical quantity that has both magnitude and direction. Examples of vector quantities include displacement, velocity, acceleration, and force.
Now let's evaluate the given statement:
1. "The couple is a scalar quantity":
This part of the statement is false. A couple is not a scalar quantity. It is a vector quantity because it has both magnitude (the force acting on each arm of the couple) and direction (perpendicular to the plane formed by the couple arms).
2. "The force is a vector quantity":
This part of the statement is true. Force is a vector quantity because it has both magnitude (the strength of the force) and direction (the line of action of the force).
Therefore, the correct answer is option 'A' - "The first part of the statement is false and the other part is true." The couple is not a scalar quantity, but force is a vector quantity.
The given statement is "The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified."
To understand whether the given statement is true or false, let's first define the terms couple, scalar quantity, and vector quantity.
Couple:
In physics, a couple refers to a pair of equal and opposite forces acting on a body but not along the same line. The couple produces a turning effect or torque on the body without any translational motion. It is a pure rotational force.
Scalar Quantity:
A scalar quantity is a physical quantity that only has magnitude and no direction. Examples of scalar quantities include mass, temperature, speed, and time.
Vector Quantity:
A vector quantity is a physical quantity that has both magnitude and direction. Examples of vector quantities include displacement, velocity, acceleration, and force.
Now let's evaluate the given statement:
1. "The couple is a scalar quantity":
This part of the statement is false. A couple is not a scalar quantity. It is a vector quantity because it has both magnitude (the force acting on each arm of the couple) and direction (perpendicular to the plane formed by the couple arms).
2. "The force is a vector quantity":
This part of the statement is true. Force is a vector quantity because it has both magnitude (the strength of the force) and direction (the line of action of the force).
Therefore, the correct answer is option 'A' - "The first part of the statement is false and the other part is true." The couple is not a scalar quantity, but force is a vector quantity.
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The couple is a scalar quantity and the force is vector quantity and hence only force can be simplified as __________a)The first part of the statement is false and other part is trueb)The first part of the statement is false and other part is false tooc)The first part of the statement is true and other part is falsed)The first part of the statement is true and other part is true tooCorrect answer is option 'A'. Can you explain this answer?
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