NEET-XII-Physics
14: Some Mechanical Properties of Matter
- #20Which of the following graphs may represent the relation between the capillary rise h and the radius r of the capillary?
FigureAns : (c)
`` \,\mathrm{\,The\,}\,\mathrm{\,relationship\,}\,\mathrm{\,between\,}\,\mathrm{\,height\,}\,\mathrm{\,h\,}\,\mathrm{\,and\,}\,\mathrm{\,radius\,}\,\mathrm{\,r\,}\,\mathrm{\,is\,}\,\mathrm{\,given\,}\,\mathrm{\,by\,}:``
`` \,\mathrm{\,h\,}=\frac{2\,\mathrm{\,Scos\theta \,}}{\,\mathrm{\,r\rho g\,}}``
`` \,\mathrm{\,If\,}\,\mathrm{\,S\,},\,\mathrm{\,\theta \,},\,\mathrm{\,\rho \,}\,\mathrm{\,and\,}\,\mathrm{\,g\,}\,\mathrm{\,are\,}\,\mathrm{\,considered\,}\,\mathrm{\,constant\,},\,\mathrm{\,we\,}\,\mathrm{\,have\,}:``
`` \,\mathrm{\,h\,}\propto \frac{1}{\,\mathrm{\,r\,}}``
This equation has the characteristic of a rectangular hyperbola. Therefore, curve
(c) is a rectangular hyperbola.
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