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Statement-I : If two particles, moving w...

Statement-I : If two particles, moving with constant velocities are to meet, the relative velocity must be along the line joining the two particles.
Statement-II : Relative velocity means motion of one particle as viewed from the other.

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 and relationship. ### Step 1: Analyze Statement I **Statement I:** "If two particles, moving with constant velocities are to meet, the relative velocity must be along the line joining the two particles." - Let's denote the two particles as A and B, with velocities \( \vec{V_A} \) and \( \vec{V_B} \) respectively. - For the two particles to meet, they must be moving towards each other, meaning that the vector representing their relative velocity \( \vec{V_{AB}} = \vec{V_A} - \vec{V_B} \) should point along the line joining them. - If the relative velocity is not directed along the line joining them, they will not meet, as they will be moving apart or parallel without converging. - Thus, **Statement I is true**. ### Step 2: Analyze Statement II **Statement II:** "Relative velocity means motion of one particle as viewed from the other." - Relative velocity is defined as the velocity of one object as observed from another object. It is indeed the motion of one particle with respect to another. - This definition aligns with the concept of relative motion in physics. - Therefore, **Statement II is also true**. ### Step 3: Determine the Relationship - Now, we need to determine if Statement II provides a correct explanation for Statement I. - Statement II defines relative velocity, but it does not explain why the relative velocity must be along the line joining the two particles for them to meet. - Thus, while both statements are true, Statement II does not serve as an explanation for Statement I. ### Conclusion Both statements are true, but Statement II is not the correct explanation for Statement I. **Final Answer:** Both statements are true, but Statement II is not the correct explanation for Statement I. ---

To solve the question, we need to analyze both statements and determine their validity and relationship. ### Step 1: Analyze Statement I **Statement I:** "If two particles, moving with constant velocities are to meet, the relative velocity must be along the line joining the two particles." - Let's denote the two particles as A and B, with velocities \( \vec{V_A} \) and \( \vec{V_B} \) respectively. - For the two particles to meet, they must be moving towards each other, meaning that the vector representing their relative velocity \( \vec{V_{AB}} = \vec{V_A} - \vec{V_B} \) should point along the line joining them. - If the relative velocity is not directed along the line joining them, they will not meet, as they will be moving apart or parallel without converging. ...
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