A dumbbell is placed in water of density $\rho$ . It is observed that by attaching a mass $m$ to the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure. The volume of the mass $m$ is negligible. The value of length $l$ is
A dumbbell is placed in water of density $\rho$ . It is observed that by attaching a mass $m$ to the rod, the dumbbell floats with the rod horizontal on the surface of water and each sphere exactly half submerged as shown in the figure. The volume of the mass $m$ is negligible. The value of length $l$ is
- A
$\frac{{d({V_\rho } - 3M)}}{{2({V_\rho } - 2M)}}$
- B
$\frac{{d({V_\rho } - 2M)}}{{2({V_\rho } - 3M)}}$
- C
$\frac{{d({V_\rho } + 2M)}}{{2({V_\rho } - 3M)}}$
- D
$\frac{{d({V_\rho } - 2M)}}{{2({V_\rho } + 3M)}}$
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