JEE MAIN - Physics (2023 - 30th January Morning Shift - No. 2)
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is, $$5 \mathrm{~cm}$$. If the tube is dipped in a similar manner in another liquid $$\mathrm{B}$$ of surface tension and density double the values of liquid $$\mathrm{A}$$, the height of liquid column raised in liquid $$\mathrm{B}$$ would be __________ m.
0.05
0.20
0.5
0.10
Explanation
height of capillary rise $$ = {{2s\cos \theta } \over {\rho gR}}$$
When in A 5 cm $$ = {{2{s_A}\cos \theta } \over {{\rho _A}gR}}$$
When in B $$h = {{2{s_B}\cos \theta } \over {{\rho _B}gR}}$$
$${s_B} = 2{s_A}$$ and $${\rho _B} = 2{\rho _A}$$
$$h = {{2 \times 2{s_A} \times \cos \theta } \over {2{\rho _A}gR}} = 5$$ cm
Comments (0)
