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Which of the following statement is true?
- a)A scalar is any physical quantity that can be completely specified by its magnitude
- b)A vector is any positive or negative physical quantity that can be completely specified by its magnitude
- c)A scalar is any physical quantity that requires both a magnitude and a direction for its complete description
- d)A scalar is any physical quantity that can be completely specified by its direction
Correct answer is option 'A'. Can you explain this answer?
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Which of the following statement is true?a)A scalar is any physical qu...
A scalar is any positive or negative physical quantity that can be completely specified by its magnitude. Examples of scalar quantities include length, mass, time, etc.
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Which of the following statement is true?a)A scalar is any physical qu...
A scalar is any physical quantity that can be completely specified by its magnitude.
Explanation:
- Scalars and vectors are two types of physical quantities that are used to describe various aspects of the physical world.
- A scalar is a quantity that has only magnitude or size. It does not have any direction associated with it.
- On the other hand, a vector is a quantity that has both magnitude and direction.
- Based on these definitions, option 'A' is the correct statement because it correctly defines a scalar as a physical quantity that can be completely specified by its magnitude.
- Let's further explore the other options to understand why they are not true statements.
Option 'B':
- This statement is incorrect because a vector can be positive or negative, but it is not defined solely based on its sign.
- The sign of a vector indicates its direction, not its nature as a vector.
- For example, velocity can be positive or negative depending on the direction of motion, but it is still a vector quantity.
Option 'C':
- This statement is incorrect because a scalar does not require both magnitude and direction for its complete description.
- As mentioned earlier, a scalar has only magnitude and does not have any direction associated with it.
- Examples of scalar quantities include mass, temperature, time, and energy.
Option 'D':
- This statement is incorrect because it incorrectly defines a scalar as a quantity that can be completely specified by its direction.
- As discussed earlier, a scalar does not have any direction associated with it.
- Direction is a characteristic of vector quantities, not scalar quantities.
In conclusion, option 'A' is the correct statement because it accurately defines a scalar as a physical quantity that can be completely specified by its magnitude.
Explanation:
- Scalars and vectors are two types of physical quantities that are used to describe various aspects of the physical world.
- A scalar is a quantity that has only magnitude or size. It does not have any direction associated with it.
- On the other hand, a vector is a quantity that has both magnitude and direction.
- Based on these definitions, option 'A' is the correct statement because it correctly defines a scalar as a physical quantity that can be completely specified by its magnitude.
- Let's further explore the other options to understand why they are not true statements.
Option 'B':
- This statement is incorrect because a vector can be positive or negative, but it is not defined solely based on its sign.
- The sign of a vector indicates its direction, not its nature as a vector.
- For example, velocity can be positive or negative depending on the direction of motion, but it is still a vector quantity.
Option 'C':
- This statement is incorrect because a scalar does not require both magnitude and direction for its complete description.
- As mentioned earlier, a scalar has only magnitude and does not have any direction associated with it.
- Examples of scalar quantities include mass, temperature, time, and energy.
Option 'D':
- This statement is incorrect because it incorrectly defines a scalar as a quantity that can be completely specified by its direction.
- As discussed earlier, a scalar does not have any direction associated with it.
- Direction is a characteristic of vector quantities, not scalar quantities.
In conclusion, option 'A' is the correct statement because it accurately defines a scalar as a physical quantity that can be completely specified by its magnitude.
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Which of the following statement is true?a)A scalar is any physical quantity that can be completely specified by its magnitudeb)A vector is any positive or negative physical quantity that can be completely specified by its magnitudec)A scalar is any physical quantity that requires both a magnitude and a direction for its complete descriptiond)A scalar is any physical quantity that can be completely specified by its directionCorrect answer is option 'A'. Can you explain this answer?
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Which of the following statement is true?a)A scalar is any physical quantity that can be completely specified by its magnitudeb)A vector is any positive or negative physical quantity that can be completely specified by its magnitudec)A scalar is any physical quantity that requires both a magnitude and a direction for its complete descriptiond)A scalar is any physical quantity that can be completely specified by its directionCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which of the following statement is true?a)A scalar is any physical quantity that can be completely specified by its magnitudeb)A vector is any positive or negative physical quantity that can be completely specified by its magnitudec)A scalar is any physical quantity that requires both a magnitude and a direction for its complete descriptiond)A scalar is any physical quantity that can be completely specified by its directionCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statement is true?a)A scalar is any physical quantity that can be completely specified by its magnitudeb)A vector is any positive or negative physical quantity that can be completely specified by its magnitudec)A scalar is any physical quantity that requires both a magnitude and a direction for its complete descriptiond)A scalar is any physical quantity that can be completely specified by its directionCorrect answer is option 'A'. Can you explain this answer?.
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