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/w, then the tension in the string is given by

• A. \[\left( \frac{\eta -1}{\eta } \right)mg\]
• B. \[\eta mg\]
• C. \[\frac{mg}{\eta -1}\]
• D. \[(\eta -1)mg\]