01. Surface Tension and Surface Energy
Mechanical Properties of Fluids

142855 When one end of the capillary is dripped in water, the height of water column is ' $h$ '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is
(Surface tension of water $=7 \times 10^{-2} \mathrm{~N} / \mathrm{m}$ )

1 $1.5 \mathrm{~cm}$
2 $2 \mathrm{~cm}$
3 $2.5 \mathrm{~cm}$
4 $3 \mathrm{~cm}$
Mechanical Properties of Fluids

142856 A big water drop is formed by the combination of ' $n$ ' small water drops of equal radii. The ratio of the surface energy of ' $n$ ' drops to the surface energy of big drop is

1 $\mathrm{n}^{2}: 1$
2 $n: 1$
3 $\sqrt{\mathrm{n}}: 1$
4 $\sqrt[3]{\mathrm{n}}: 1$
Mechanical Properties of Fluids

142857 A metal wire of density ' $\rho$ ' floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to $(T=$ surface tension of water, $g$ = gravitational acceleration)

1 $\sqrt{\frac{\mathrm{T}}{\pi \rho g}}$
2 $\sqrt{\frac{\pi \rho g}{T}}$
3 $\frac{\mathrm{T}}{\pi \rho \mathrm{g}}$
4 $\frac{\pi \rho g}{T}$
Mechanical Properties of Fluids

142858 In a capillary tube having area of cross-section ' $A$ ', water rises to height ' $h$ '. If cross-sectional area is reduced to $\frac{{ }^{\prime} \mathrm{A}}{9}$, the rise of water in the capillary tube is

1 $4 \mathrm{~h}$
2 $3 \mathrm{~h}$
3 $2 \mathrm{~h}$
4 $\mathrm{h}$
Mechanical Properties of Fluids

142855 When one end of the capillary is dripped in water, the height of water column is ' $h$ '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is
(Surface tension of water $=7 \times 10^{-2} \mathrm{~N} / \mathrm{m}$ )

1 $1.5 \mathrm{~cm}$
2 $2 \mathrm{~cm}$
3 $2.5 \mathrm{~cm}$
4 $3 \mathrm{~cm}$
Mechanical Properties of Fluids

142856 A big water drop is formed by the combination of ' $n$ ' small water drops of equal radii. The ratio of the surface energy of ' $n$ ' drops to the surface energy of big drop is

1 $\mathrm{n}^{2}: 1$
2 $n: 1$
3 $\sqrt{\mathrm{n}}: 1$
4 $\sqrt[3]{\mathrm{n}}: 1$
Mechanical Properties of Fluids

142857 A metal wire of density ' $\rho$ ' floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to $(T=$ surface tension of water, $g$ = gravitational acceleration)

1 $\sqrt{\frac{\mathrm{T}}{\pi \rho g}}$
2 $\sqrt{\frac{\pi \rho g}{T}}$
3 $\frac{\mathrm{T}}{\pi \rho \mathrm{g}}$
4 $\frac{\pi \rho g}{T}$
Mechanical Properties of Fluids

142858 In a capillary tube having area of cross-section ' $A$ ', water rises to height ' $h$ '. If cross-sectional area is reduced to $\frac{{ }^{\prime} \mathrm{A}}{9}$, the rise of water in the capillary tube is

1 $4 \mathrm{~h}$
2 $3 \mathrm{~h}$
3 $2 \mathrm{~h}$
4 $\mathrm{h}$
Mechanical Properties of Fluids

142855 When one end of the capillary is dripped in water, the height of water column is ' $h$ '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is
(Surface tension of water $=7 \times 10^{-2} \mathrm{~N} / \mathrm{m}$ )

1 $1.5 \mathrm{~cm}$
2 $2 \mathrm{~cm}$
3 $2.5 \mathrm{~cm}$
4 $3 \mathrm{~cm}$
Mechanical Properties of Fluids

142856 A big water drop is formed by the combination of ' $n$ ' small water drops of equal radii. The ratio of the surface energy of ' $n$ ' drops to the surface energy of big drop is

1 $\mathrm{n}^{2}: 1$
2 $n: 1$
3 $\sqrt{\mathrm{n}}: 1$
4 $\sqrt[3]{\mathrm{n}}: 1$
Mechanical Properties of Fluids

142857 A metal wire of density ' $\rho$ ' floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to $(T=$ surface tension of water, $g$ = gravitational acceleration)

1 $\sqrt{\frac{\mathrm{T}}{\pi \rho g}}$
2 $\sqrt{\frac{\pi \rho g}{T}}$
3 $\frac{\mathrm{T}}{\pi \rho \mathrm{g}}$
4 $\frac{\pi \rho g}{T}$
Mechanical Properties of Fluids

142858 In a capillary tube having area of cross-section ' $A$ ', water rises to height ' $h$ '. If cross-sectional area is reduced to $\frac{{ }^{\prime} \mathrm{A}}{9}$, the rise of water in the capillary tube is

1 $4 \mathrm{~h}$
2 $3 \mathrm{~h}$
3 $2 \mathrm{~h}$
4 $\mathrm{h}$
Mechanical Properties of Fluids

142855 When one end of the capillary is dripped in water, the height of water column is ' $h$ '. The upward force of 105 dyne due to surface tension is balanced by the force due to the weight of water column. The inner circumference of the capillary is
(Surface tension of water $=7 \times 10^{-2} \mathrm{~N} / \mathrm{m}$ )

1 $1.5 \mathrm{~cm}$
2 $2 \mathrm{~cm}$
3 $2.5 \mathrm{~cm}$
4 $3 \mathrm{~cm}$
Mechanical Properties of Fluids

142856 A big water drop is formed by the combination of ' $n$ ' small water drops of equal radii. The ratio of the surface energy of ' $n$ ' drops to the surface energy of big drop is

1 $\mathrm{n}^{2}: 1$
2 $n: 1$
3 $\sqrt{\mathrm{n}}: 1$
4 $\sqrt[3]{\mathrm{n}}: 1$
Mechanical Properties of Fluids

142857 A metal wire of density ' $\rho$ ' floats on water surface horizontally. If it is NOT to sink in water then maximum radius of wire is proportional to $(T=$ surface tension of water, $g$ = gravitational acceleration)

1 $\sqrt{\frac{\mathrm{T}}{\pi \rho g}}$
2 $\sqrt{\frac{\pi \rho g}{T}}$
3 $\frac{\mathrm{T}}{\pi \rho \mathrm{g}}$
4 $\frac{\pi \rho g}{T}$
Mechanical Properties of Fluids

142858 In a capillary tube having area of cross-section ' $A$ ', water rises to height ' $h$ '. If cross-sectional area is reduced to $\frac{{ }^{\prime} \mathrm{A}}{9}$, the rise of water in the capillary tube is

1 $4 \mathrm{~h}$
2 $3 \mathrm{~h}$
3 $2 \mathrm{~h}$
4 $\mathrm{h}$