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Statement-I : A physical quantity can be...

Statement-I : A physical quantity can be regarded as a vector, if magnitude as well as direction is associated with it.
Statement-II : A physical quantity can be regarded as a scalar quantity, if it is associated with magnitude only.

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To analyze the given statements, we will evaluate each statement regarding physical quantities and their classifications as vectors or scalars. ### Step-by-Step Solution: 1. **Understanding Physical Quantities**: - Physical quantities are properties that can be measured. They can be classified into two categories: scalar and vector quantities. 2. **Analyzing Statement-I**: - Statement-I states: "A physical quantity can be regarded as a vector if magnitude as well as direction is associated with it." - **Evaluation**: This statement is true. A vector quantity is defined as one that has both magnitude and direction. For example, velocity and force are vector quantities because they have both a size (magnitude) and a direction. 3. **Analyzing Statement-II**: - Statement-II states: "A physical quantity can be regarded as a scalar quantity if it is associated with magnitude only." - **Evaluation**: This statement is also true. A scalar quantity is defined as one that has only magnitude and no direction. For example, temperature and mass are scalar quantities because they are described solely by their size. 4. **Conclusion**: - Since both statements are true, we conclude that: - Statement-I is true. - Statement-II is true. ### Final Answer: Both Statement-I and Statement-II are true. ---

To analyze the given statements, we will evaluate each statement regarding physical quantities and their classifications as vectors or scalars. ### Step-by-Step Solution: 1. **Understanding Physical Quantities**: - Physical quantities are properties that can be measured. They can be classified into two categories: scalar and vector quantities. 2. **Analyzing Statement-I**: ...
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ALLEN-BASIC MATHS-Exersice -05(B)
  1. A vector of length l is turned through the angle theta about its tail....

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  2. In the given figure, each box represents a function machine. A functio...

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  3. The graph shows a linear relation between variable y and x. Consider t...

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  4. Frequency f of a simple pendulum depends on its length l and accelerat...

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  5. alpha and beta are the angle made by a vector from positive x & positi...

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  6. Statement-I : If the initial and final positions coincide, the displac...

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  7. Assertion: A vector qunatity is a quantity that has both magnitude and...

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  8. Assertion : The direction of a zero (null) vector is indeteminate. ...

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  9. Assertion: If the rectangular components of a force are 24N and 7N, th...

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  10. Vectors vecA, vecB and vecC are such that vecA.vecB=0 and vecA.vecC=0....

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  11. Assertion: The angle between vectors vecAxxvecB and vecBxxvecA is pi r...

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  12. Assertion: The minimum number of vectors of unequal magnitude required...

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  13. Assertion : A vector can have zero magnitude if one of its rectangular...

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  14. Assertion: The angle between the two vectors (hati+hatj) and (hatj+hat...

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  15. Assertion: Distance is a scalar quantity. Reason: Distance is the le...

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  16. Assertion: If position vector is given by hatr=sinhati+costhatj-7thatk...

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  17. Assertion: Adding a scalar to a vector of the same dimensions is a mea...

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  18. Assertion: The dot product of one vector with another vector may be sc...

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  19. Statement-I : A physical quantity can be regarded as a vector, if magn...

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  20. Assertion: Vecot (hati+hatj+hatk) is perpendicular to (hati-2hatj+hatk...

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