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

Question

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

Dr. Abubacker · Accepted Answer

(d) Tension in spring $T =$ upthrust – weight of sphere
$= V\sigma g - V\rho g = V\eta\rho g - V\rho g\ \ $ [As$\ \sigma = \eta\rho\rbrack$
$= (\eta - 1)V\rho g = (\eta - 1)mg$

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 by

Explanation

Reviewed by Dr. Abubacker

Want more practice?