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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

`frac(|overset(-)(V)_P|)(|overset(-)(V)_Q|) = eta_1/eta_2`

B

`frac(|overset(-)(V)_P|)(|overset(-)(V)_Q|) = eta_2/eta_1`

C

`overset(-)(V)_P * overset(-)(V)_Q gt 0`

D

`overset(-)(V)_P * overset(-)(V)_Q = 0`

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