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Statement-I : A positive acceleration ca...

Statement-I : A positive acceleration can be associated with a 'slowing down' of the body.
Statement-II : The origin and the positive direction of an axis are a matter of choice.

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 solve the question, we need to analyze both statements and determine their validity. **Step 1: Analyze Statement-I** Statement-I states that "A positive acceleration can be associated with a 'slowing down' of the body." - Acceleration is defined as the rate of change of velocity. It is a vector quantity, meaning it has both magnitude and direction. - If an object is moving in the negative direction (for example, to the left on a number line), and it experiences a positive acceleration (acting to the right), it means that the acceleration is acting opposite to the direction of motion. - In this case, the object's speed decreases, which means it is slowing down. Therefore, Statement-I is **true**. **Step 2: Analyze Statement-II** Statement-II states that "The origin and the positive direction of an axis are a matter of choice." - In physics, we can define the coordinate system as we wish. The choice of origin (0 point) and the direction of the axes (positive or negative) is arbitrary and can be defined based on the problem at hand. - For instance, if we define the rightward direction as positive, then leftward would be negative. If we choose the leftward direction as positive, then rightward would be negative. This flexibility confirms that Statement-II is also **true**. **Step 3: Determine the relationship between the statements** - Since both statements are true, we need to evaluate if Statement-II provides a correct explanation for Statement-I. - Statement-II explains that the definitions of positive and negative directions are arbitrary. This means that if we choose a different reference frame, the interpretation of acceleration and velocity can change. Thus, the slowing down of the body in Statement-I can indeed be explained by the choice of axes in Statement-II. **Conclusion:** Both statements are true, and Statement-II is the correct explanation for Statement-I. Therefore, the answer is: **Option A: Both statements are true, and Statement-II is the correct explanation for Statement-I.** ---

To solve the question, we need to analyze both statements and determine their validity. **Step 1: Analyze Statement-I** Statement-I states that "A positive acceleration can be associated with a 'slowing down' of the body." - Acceleration is defined as the rate of change of velocity. It is a vector quantity, meaning it has both magnitude and direction. - If an object is moving in the negative direction (for example, to the left on a number line), and it experiences a positive acceleration (acting to the right), it means that the acceleration is acting opposite to the direction of motion. - In this case, the object's speed decreases, which means it is slowing down. Therefore, Statement-I is **true**. ...
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