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A hollow sphere of mass $M$ and radius $r$ is immersed in a tank of water (density $\rho$$_w$ ). The sphere would float if it were set free. The sphere is tied to the bottom of the tank by two wires which makes angle $45^o$ with the horizontal as shown in the figure. The tension $T_1$ in the wire is :
  • A$\frac{{\frac{4}{3}\pi \,{R^3}{\rho _w}g - Mg}}{{\sqrt 2 }}$
  • B$\frac{2}{3}\pi \,{R^3}{\rho _w}g - Mg$
  • C$\frac{{\frac{4}{3}\pi \,{R^3}{\rho _w}g - Mg}}{2}$
  • D$\frac{4}{3}\pi \,{R^3}{\rho _w}g + Mg$
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