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(A): Electric Current and velocity of li...

(A): Electric Current and velocity of light both have direction as well as magnitude but still are not considered as vectors.
(R): They do not follow laws of vector addition.

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true and (R) is not the correct explanation of (A)

C

(A) is true but (R) is false

D

Both (A) and (R) are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the two statements provided: **Assertion (A):** Electric current and velocity of light both have direction as well as magnitude but still are not considered as vectors. **Reason (R):** They do not follow laws of vector addition. ### Step-by-Step Solution: 1. **Understanding Electric Current:** - Electric current is defined as the flow of electric charge. It has a magnitude (measured in Amperes) and a direction (the direction of flow of positive charge). - However, electric current is classified as a scalar quantity because it does not obey the vector addition rules. For example, when combining currents in parallel, we simply add their magnitudes without considering direction. **Hint:** Remember that scalar quantities have magnitude but do not follow vector addition rules. 2. **Understanding Velocity of Light:** - The velocity of light (denoted as 'c') is indeed a vector quantity as it has both magnitude (approximately 3 x 10^8 m/s) and direction (the direction in which light travels). - However, when we consider the propagation of light in different media or in the context of special relativity, the velocity of light does not combine like typical vectors. For instance, in relativistic contexts, velocities do not add linearly. **Hint:** Consider how light behaves in different frames of reference and the implications of special relativity. 3. **Evaluating the Assertion (A):** - The assertion states that both electric current and the velocity of light have direction and magnitude but are not considered vectors. This is partially true. Electric current is a scalar, while the velocity of light is a vector but behaves differently under certain conditions. **Hint:** Distinguish between scalar and vector quantities based on their definitions and behaviors. 4. **Evaluating the Reason (R):** - The reason states that they do not follow laws of vector addition. This is true for electric current, as explained. For the velocity of light, while it is a vector, it does not follow the simple vector addition rules in relativistic contexts. **Hint:** Analyze how vector addition applies in different physical situations. 5. **Conclusion:** - Since the assertion is true for electric current but not entirely accurate for the velocity of light, and the reason is true but does not fully explain the assertion, we have to conclude that both statements are true, but the reason does not correctly explain the assertion. ### Final Answer: - Both A and R are true, but R is not the correct explanation of A. Therefore, the correct option is **Option 2**.
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