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
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(d)Tension in spring $T =$ upthrust $-$ weight of sphere
$ = V\sigma g - V\rho g$$ = V\eta \rho g - V\rho g$$({\rm{As }}\sigma = \eta \rho )$
$ = (\eta - 1)V\rho g$= $(\eta - 1)mg.$
$ = V\sigma g - V\rho g$$ = V\eta \rho g - V\rho g$$({\rm{As }}\sigma = \eta \rho )$
$ = (\eta - 1)V\rho g$= $(\eta - 1)mg.$
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