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Which of the following will not depend...

Which of the following will not depend on orientation of frame of reference ?

A

A scalar

B

A vector

C

The magnitude of a vector

D

Component of a vector

Text Solution

AI Generated Solution

The correct Answer is:
To determine which of the given quantities does not depend on the orientation of the frame of reference, we can analyze each option step by step. ### Step-by-Step Solution: 1. **Understanding Frame of Reference**: - A frame of reference is a coordinate system used to measure and describe the position, orientation, and motion of objects. The orientation of this frame can affect how we perceive and calculate certain quantities. 2. **Identifying Scalars and Vectors**: - Scalars are quantities that have magnitude only and do not depend on direction. Examples include temperature, mass, and energy. - Vectors are quantities that have both magnitude and direction. Examples include force, velocity, and displacement. 3. **Analyzing Scalars**: - Since scalars do not have a directional component, they remain unchanged regardless of the orientation of the frame of reference. Thus, scalars do not depend on the frame of reference. 4. **Analyzing Vectors**: - Vectors depend on both magnitude and direction. When we change the orientation of the frame of reference, the representation of the vector can change. Therefore, vectors do depend on the orientation. 5. **Magnitude of Vectors**: - The magnitude of a vector is a scalar quantity. While the vector itself may change with orientation, its magnitude remains the same regardless of how we orient our frame of reference. Hence, the magnitude of a vector does not depend on the orientation. 6. **Components of Vectors**: - The components of vectors (e.g., x, y, z components) are calculated based on the orientation of the frame of reference. Therefore, they do depend on the orientation. 7. **Conclusion**: - The quantities that do not depend on the orientation of the frame of reference are scalars and the magnitude of vectors. However, since the question asks for a specific option, the answer is that scalars do not depend on orientation. ### Final Answer: The quantity that does not depend on the orientation of the frame of reference is **scalars**.
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  • Non-inertial frame of reference have

    A
    zero acceleration.
    B
    some acceleration with respect to inertial frame of reference.
    C
    zero velocity.
    D
    constant velocity with respect to inertial frame of reference.
  • A situation may be described by using different sets o coordinate axes having different orientations. Which of the followign do not depend on the orientation of the axes?

    A
    the value of a scalar
    B
    component of a vector
    C
    a vector
    D
    the magnitude of a vector
  • (A) : A vectors will not change when the fram of reference in which it is existing is rotated . (R) : A scalar quantity may (or) may not be independent of arientation of frame of reference :

    A
    If both A and R are trun and R is the correct explanation of A.
    B
    If both A and R are true, but R is not correct expalanation of A.
    C
    If A is true, but R is fasle .
    D
    If A is fasle , but R is true.
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