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Statement-I : The speed of a body can be...

Statement-I : The speed of a body can be negative.
Statement-II : If the body is moving in the opposite direction of positive motion, then its speed is negative.

A

Statement-I is true, Statement-II is true, Statement-II is correct explanation for Statement-I

B

Statement-I is true, Statement-II is true, Statement-II is NOT a correct explanation for Statement-I

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we need to understand the concepts of speed and velocity. ### Step-by-Step Solution: 1. **Understanding Speed and Velocity**: - Speed is defined as the magnitude of velocity. It is a scalar quantity, which means it only has magnitude and no direction. - Velocity, on the other hand, is a vector quantity; it has both magnitude and direction. 2. **Evaluating Statement-I**: - Statement-I claims that "The speed of a body can be negative." - Since speed is a scalar and is defined as the absolute value of velocity, it cannot be negative. Speed is always a non-negative quantity (i.e., speed ≥ 0). - Therefore, Statement-I is **false**. 3. **Evaluating Statement-II**: - Statement-II states that "If the body is moving in the opposite direction of positive motion, then its speed is negative." - This statement is misleading because, as established, speed cannot be negative regardless of the direction of motion. The direction of motion affects velocity, not speed. - Thus, Statement-II is also **false**. 4. **Conclusion**: - Both statements are incorrect. Speed cannot be negative, and the direction of motion does not affect the sign of speed. ### Final Answer: Both Statement-I and Statement-II are **false**. ---

To analyze the statements given in the question, we need to understand the concepts of speed and velocity. ### Step-by-Step Solution: 1. **Understanding Speed and Velocity**: - Speed is defined as the magnitude of velocity. It is a scalar quantity, which means it only has magnitude and no direction. - Velocity, on the other hand, is a vector quantity; it has both magnitude and direction. ...
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