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Two spheres P and Q of equal radii have ...

Two spheres P and Q of equal radii have densities `rho_1` and `rho_2`, respectively. The spheres are connected by a massless string and placed in liquids `L_1` and `L_2` of densities `sigma_1` and `sigma_2` and viscosities `eta_1` and `eta_2`, respectively. They float in equilibrium with the sphere P in `L_1` and sphere Q in `L_2` and the string being taut(see figure). If sphere P alone in `L_2` has terminal velocity `vecV_p` and Q alone in `L_1` has terminal velocity `vecV_Q`, then

A

`(|vec(V)_(P)|)/(|vec(V)_(Q)|)=(eta_(1))/(eta_(2))`

B

`(|vec(V)_(P)|)/(|vec(V)_(Q)|)=(eta_(2))/(eta_(1))`

C

`vec(V)_(P).vec(V)_(Q)gt0`

D

`vec(V)_(P).vec(V)P_(Q)lt0`

Text Solution

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The correct Answer is:
A, D
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