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A solid sphere of density $\eta$ $( > 1)$  times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m then the tension in the string is given by

• A
  $\left( {\frac{{\eta - 1}}{\eta }} \right)\,mg$
• B
  $\eta mg$
• C
  $\frac{{mg}}{{\eta - 1}}$
• ✓
  $(\eta - 1)\,mg$