Question

Select One Option Correct from the following : Two spheres P and Q of equal radii have densities $\rho_1$and $\rho_1$, 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 $\vec{v}P$ and Q alone in $L_1$ has terminal velocity $\vec{v}Q$ then
(A)$\frac{|\vec{v}P|}{|\vec{v}Q|} =\frac{\eta_1}{\eta_2}$(B)$\frac{|\vec{v}P|}{|\vec{v}Q|} =\frac{\eta_2}{\eta_1}$(C)$\vec{v}p . \vec{v}q \ \textgreater \ 0$(D)$\vec{v}p . \vec{v}q \ \textless \ 0$

Answer 1

c option is correct.
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Answer 2

(C)$\vec{v}p . \vec{v}q \ \textgreater \ 0$(