Fluid Mechanics Viscosity Question 192
Question: A solid sphere of density h ( > 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
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:
Tension in spring T = upthrust ? weight of sphere$ =V\sigma g-V\rho g $ $ =V\eta \rho g-V\rho g $ $ (\text{As }\sigma =\eta \rho ) $ $ =(\eta -1)V\rho g $ = $ (\eta -1)mg. $
BETA
