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  4. A solid sphere of density η(>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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Q. 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 byPhysics Question Image

Mechanical Properties of Fluids

Solution:

image
$ T+m g=F_b$
$\therefore T =F_b-m g$
$=V_{\rho_w} g-m g $
$=\frac{m}{\left(\rho_w / \eta\right)} \rho_w g-m g$
$=(\eta-1) m g .$