Question:
Two cars A and B move along a concentric circular path of radius $rA$ and $rB$ with velocities $VA$ and $VB$ maintaining constant distance, then $\fracVAVB}$ is equal to
Two cars A and B move along a concentric circular path of radius $rA$ and $rB$ with velocities $VA$ and $VB$ maintaining constant distance, then $\fracVAVB}$ is equal to
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Two cars A and B move along a concentric circular path of radius $rA$ and $rB$ with velocities $VA$ and $VB$ maintaining constant distance, then $VA/VB$ is equal to
Updated On: Apr 15, 2026
- $\frac{r_{B}}{r_{A}}$
- $\frac{r_{A}}{r_{B}}$
- $\frac{r_{A}^{2}}{r_{B}^{2}}$
- $\frac{r_{B}^{2}}{r_{A}^{2}}$
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The Correct Option is B
Solution and Explanation
Step 1: Concept
Maintaining a constant distance in a concentric path means they have the same angular velocity ($\omega$).
Step 2: Relation
Linear velocity $v = r\omega$.
Step 3: Conclusion
Since $\omega$ is constant, $v \propto r$, so $\frac{V_{A}}{V_{B}} = \frac{r_{A}}{r_{B}}$.
Final Answer: (B)
Maintaining a constant distance in a concentric path means they have the same angular velocity ($\omega$).
Step 2: Relation
Linear velocity $v = r\omega$.
Step 3: Conclusion
Since $\omega$ is constant, $v \propto r$, so $\frac{V_{A}}{V_{B}} = \frac{r_{A}}{r_{B}}$.
Final Answer: (B)
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