| When a spherical ball is suspended in an air or water jet as shown alongside. |
| Vertical elevation \[\]depends on |
| d = sphere diameter, |
| g = gravitational constant, |
| \[{{\rho }_{1}}=\]fermi density, |
| \[{{\rho }_{2}}=\]mass density of ball |
| and F = force of fluid on ball. |
| Then, which of these graphs is correct experimental observation of \[\frac{{}}{d}\]versus x, where \[x=\frac{F}{{{d}^{3}}g({{\rho }_{2}}-{{\rho }_{1}})}\]is |
 |
A)
B)
C)
D)
Correct Answer: A
Solution :
As \[\frac{{}}{d}\]is dimensionless and\[\frac{F}{{{d}^{3}}g\Delta \rho }\]is also dimensionless. We can say that, \[\frac{{}}{d}\]versus \[\frac{F}{{{d}^{3}}g\Delta \rho }\]is a linear relation. Hence, correct graph of\[\frac{{}}{d}\]versus \[\frac{F}{{{d}^{3}}g\Delta \rho }\] must be a straight line.
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