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Question

Two buses A and B are moving around concentric circular paths of radii `r_A` and `R_B` If the two buses complete  the circular paths in the same time . The ratio of their linear speeds is :


Options:
A .  1
B .  `r_A/r_B`
C .  `r_B/r_A`
D .  None of these.
Answer: Option B

In this time period of both buses are same.

Here           `T_1 = (2pi)/(omega_1)`

                  `T_2 = (2pi)/(omega_2)`

`because        omega_1 = omega_2`                                `(because T_1 = T_2)`

`:.`              `v_A/v_B = (r_A omega)/(r_B omega) = r_A/r_B`  



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