Fluid Mechanics Viscosity Question 267
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 theSphere is/w, then the tension in the string is given by
Options:
A) $ \left( \frac{\eta -1}{\eta } \right)mg $
B) $ \eta mg $
C) $ \frac{mg}{\eta -1} $
D) $ (\eta -1)mg $
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ T+mg=F_{b} $ $ \therefore ,,T=F_{b}-mg $ $ =V{\rho_{w}}g-mg $ $ =\frac{m}{({\rho_{w}}/\eta )}{\rho_{w}}g-mg $ $ =(\eta -1)mg. $
BETA
