02. Capillary and Angle of Contact
Mechanical Properties of Fluids

142983 Water rises to a height of $20 \mathrm{~mm}$ in a capillary. If the radius of the capillary is made one third of its previous value then the new value of capillary rise will be :

1 $\frac{20}{3} \mathrm{~mm}$
2 $60 \mathrm{~mm}$
3 $\frac{20}{9} \mathrm{~mm}$
4 $180 \mathrm{~mm}$
Mechanical Properties of Fluids

142986 A capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$, the height of the water column is $y$. If $R$ is the radius of the earth, then the ratio $\frac{x}{y}$ is

1 $\left(1-\frac{d}{R}\right)$
2 $\left(1+\frac{d}{R}\right)$
3 $\left(\frac{R-d}{R+d}\right)$
4 $\left(\frac{\mathrm{R}+\mathrm{d}}{\mathrm{R}-\mathrm{d}}\right)$
Mechanical Properties of Fluids

142987 The movable cylindrical pistons $P_{1}$ and $P_{2}$ of a hydraulic lift are of radii $2 \mathrm{~m}$ and $R$ respectively. A body of mass $32 \mathrm{~kg}$ on piston $\mathrm{P}_{2}$ is supported by a body of mass $2 \mathrm{~kg}$ placed on piston $P_{1}$. The value of $R$ is

1 $8 \mathrm{~m}$
2 $32 \mathrm{~m}$
3 $2 \mathrm{~m}$
4 $16 \mathrm{~m}$
Mechanical Properties of Fluids

142988 Two capillary tubes $A$ and $B$ are connected in series. The length and radius of the bore of tube $A$ are twice those of tube $B$. The ratio of the pressure difference across the tubes $A$ and $B$ is

1 $8: 1$
2 $1: 8$
3 $4: 1$
4 $1: 4$
Mechanical Properties of Fluids

142989 In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius $3 \mathrm{~cm}$. Due to this pressure the second piston of radius $5 \mathrm{~cm}$ lifts a load of $1875 \mathrm{~kg}$. The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $1250 \mathrm{~N}$
2 $125 \mathrm{~N}$
3 $6750 \mathrm{~N}$
4 $675 \mathrm{~N}$
Mechanical Properties of Fluids

142983 Water rises to a height of $20 \mathrm{~mm}$ in a capillary. If the radius of the capillary is made one third of its previous value then the new value of capillary rise will be :

1 $\frac{20}{3} \mathrm{~mm}$
2 $60 \mathrm{~mm}$
3 $\frac{20}{9} \mathrm{~mm}$
4 $180 \mathrm{~mm}$
Mechanical Properties of Fluids

142986 A capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$, the height of the water column is $y$. If $R$ is the radius of the earth, then the ratio $\frac{x}{y}$ is

1 $\left(1-\frac{d}{R}\right)$
2 $\left(1+\frac{d}{R}\right)$
3 $\left(\frac{R-d}{R+d}\right)$
4 $\left(\frac{\mathrm{R}+\mathrm{d}}{\mathrm{R}-\mathrm{d}}\right)$
Mechanical Properties of Fluids

142987 The movable cylindrical pistons $P_{1}$ and $P_{2}$ of a hydraulic lift are of radii $2 \mathrm{~m}$ and $R$ respectively. A body of mass $32 \mathrm{~kg}$ on piston $\mathrm{P}_{2}$ is supported by a body of mass $2 \mathrm{~kg}$ placed on piston $P_{1}$. The value of $R$ is

1 $8 \mathrm{~m}$
2 $32 \mathrm{~m}$
3 $2 \mathrm{~m}$
4 $16 \mathrm{~m}$
Mechanical Properties of Fluids

142988 Two capillary tubes $A$ and $B$ are connected in series. The length and radius of the bore of tube $A$ are twice those of tube $B$. The ratio of the pressure difference across the tubes $A$ and $B$ is

1 $8: 1$
2 $1: 8$
3 $4: 1$
4 $1: 4$
Mechanical Properties of Fluids

142989 In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius $3 \mathrm{~cm}$. Due to this pressure the second piston of radius $5 \mathrm{~cm}$ lifts a load of $1875 \mathrm{~kg}$. The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $1250 \mathrm{~N}$
2 $125 \mathrm{~N}$
3 $6750 \mathrm{~N}$
4 $675 \mathrm{~N}$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Fluids

142983 Water rises to a height of $20 \mathrm{~mm}$ in a capillary. If the radius of the capillary is made one third of its previous value then the new value of capillary rise will be :

1 $\frac{20}{3} \mathrm{~mm}$
2 $60 \mathrm{~mm}$
3 $\frac{20}{9} \mathrm{~mm}$
4 $180 \mathrm{~mm}$
Mechanical Properties of Fluids

142986 A capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$, the height of the water column is $y$. If $R$ is the radius of the earth, then the ratio $\frac{x}{y}$ is

1 $\left(1-\frac{d}{R}\right)$
2 $\left(1+\frac{d}{R}\right)$
3 $\left(\frac{R-d}{R+d}\right)$
4 $\left(\frac{\mathrm{R}+\mathrm{d}}{\mathrm{R}-\mathrm{d}}\right)$
Mechanical Properties of Fluids

142987 The movable cylindrical pistons $P_{1}$ and $P_{2}$ of a hydraulic lift are of radii $2 \mathrm{~m}$ and $R$ respectively. A body of mass $32 \mathrm{~kg}$ on piston $\mathrm{P}_{2}$ is supported by a body of mass $2 \mathrm{~kg}$ placed on piston $P_{1}$. The value of $R$ is

1 $8 \mathrm{~m}$
2 $32 \mathrm{~m}$
3 $2 \mathrm{~m}$
4 $16 \mathrm{~m}$
Mechanical Properties of Fluids

142988 Two capillary tubes $A$ and $B$ are connected in series. The length and radius of the bore of tube $A$ are twice those of tube $B$. The ratio of the pressure difference across the tubes $A$ and $B$ is

1 $8: 1$
2 $1: 8$
3 $4: 1$
4 $1: 4$
Mechanical Properties of Fluids

142989 In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius $3 \mathrm{~cm}$. Due to this pressure the second piston of radius $5 \mathrm{~cm}$ lifts a load of $1875 \mathrm{~kg}$. The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $1250 \mathrm{~N}$
2 $125 \mathrm{~N}$
3 $6750 \mathrm{~N}$
4 $675 \mathrm{~N}$
Mechanical Properties of Fluids

142983 Water rises to a height of $20 \mathrm{~mm}$ in a capillary. If the radius of the capillary is made one third of its previous value then the new value of capillary rise will be :

1 $\frac{20}{3} \mathrm{~mm}$
2 $60 \mathrm{~mm}$
3 $\frac{20}{9} \mathrm{~mm}$
4 $180 \mathrm{~mm}$
Mechanical Properties of Fluids

142986 A capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$, the height of the water column is $y$. If $R$ is the radius of the earth, then the ratio $\frac{x}{y}$ is

1 $\left(1-\frac{d}{R}\right)$
2 $\left(1+\frac{d}{R}\right)$
3 $\left(\frac{R-d}{R+d}\right)$
4 $\left(\frac{\mathrm{R}+\mathrm{d}}{\mathrm{R}-\mathrm{d}}\right)$
Mechanical Properties of Fluids

142987 The movable cylindrical pistons $P_{1}$ and $P_{2}$ of a hydraulic lift are of radii $2 \mathrm{~m}$ and $R$ respectively. A body of mass $32 \mathrm{~kg}$ on piston $\mathrm{P}_{2}$ is supported by a body of mass $2 \mathrm{~kg}$ placed on piston $P_{1}$. The value of $R$ is

1 $8 \mathrm{~m}$
2 $32 \mathrm{~m}$
3 $2 \mathrm{~m}$
4 $16 \mathrm{~m}$
Mechanical Properties of Fluids

142988 Two capillary tubes $A$ and $B$ are connected in series. The length and radius of the bore of tube $A$ are twice those of tube $B$. The ratio of the pressure difference across the tubes $A$ and $B$ is

1 $8: 1$
2 $1: 8$
3 $4: 1$
4 $1: 4$
Mechanical Properties of Fluids

142989 In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius $3 \mathrm{~cm}$. Due to this pressure the second piston of radius $5 \mathrm{~cm}$ lifts a load of $1875 \mathrm{~kg}$. The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $1250 \mathrm{~N}$
2 $125 \mathrm{~N}$
3 $6750 \mathrm{~N}$
4 $675 \mathrm{~N}$
Mechanical Properties of Fluids

142983 Water rises to a height of $20 \mathrm{~mm}$ in a capillary. If the radius of the capillary is made one third of its previous value then the new value of capillary rise will be :

1 $\frac{20}{3} \mathrm{~mm}$
2 $60 \mathrm{~mm}$
3 $\frac{20}{9} \mathrm{~mm}$
4 $180 \mathrm{~mm}$
Mechanical Properties of Fluids

142986 A capillary tube is immersed vertically in water and the height of the water column is $x$. When this arrangement is taken into a mine of depth $d$, the height of the water column is $y$. If $R$ is the radius of the earth, then the ratio $\frac{x}{y}$ is

1 $\left(1-\frac{d}{R}\right)$
2 $\left(1+\frac{d}{R}\right)$
3 $\left(\frac{R-d}{R+d}\right)$
4 $\left(\frac{\mathrm{R}+\mathrm{d}}{\mathrm{R}-\mathrm{d}}\right)$
Mechanical Properties of Fluids

142987 The movable cylindrical pistons $P_{1}$ and $P_{2}$ of a hydraulic lift are of radii $2 \mathrm{~m}$ and $R$ respectively. A body of mass $32 \mathrm{~kg}$ on piston $\mathrm{P}_{2}$ is supported by a body of mass $2 \mathrm{~kg}$ placed on piston $P_{1}$. The value of $R$ is

1 $8 \mathrm{~m}$
2 $32 \mathrm{~m}$
3 $2 \mathrm{~m}$
4 $16 \mathrm{~m}$
Mechanical Properties of Fluids

142988 Two capillary tubes $A$ and $B$ are connected in series. The length and radius of the bore of tube $A$ are twice those of tube $B$. The ratio of the pressure difference across the tubes $A$ and $B$ is

1 $8: 1$
2 $1: 8$
3 $4: 1$
4 $1: 4$
Mechanical Properties of Fluids

142989 In a hydraulic lift, compressed air exerts a force $F$ on a small piston of radius $3 \mathrm{~cm}$. Due to this pressure the second piston of radius $5 \mathrm{~cm}$ lifts a load of $1875 \mathrm{~kg}$. The value of $F$ is (Acceleration due to gravity $=10 \mathrm{~ms}^{-2}$ )

1 $1250 \mathrm{~N}$
2 $125 \mathrm{~N}$
3 $6750 \mathrm{~N}$
4 $675 \mathrm{~N}$