05. Archimedes Principle
Mechanical Properties of Fluids

143207 A cube of mass $m$ and density $D$ is suspended in a liquid of density $d \lt D$ with the help of a spring of stiffness $k$. The elongation of spring is

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

143212 If some object is weighed when submerged in water, what will happen to its weight compared to its weight in air?

1 Increased
2 Decrease
3 Remain exactly the same
4 Increase or decrease cannot be predicted
Mechanical Properties of Fluids

143208 If there were no gravity, which of the following will not be there for a fluid?

1 Viscosity
2 Surface tension
3 Pressure
4 Archimedes' upward thrust
Mechanical Properties of Fluids

143210 A plastic tube containing few stones is floating in a tank of water. If the stones are unloaded, the water level

1 remains same
2 rises
3 falls
4 rises or falls depending on the number of stones unloaded
Mechanical Properties of Fluids

143207 A cube of mass $m$ and density $D$ is suspended in a liquid of density $d \lt D$ with the help of a spring of stiffness $k$. The elongation of spring is

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

143212 If some object is weighed when submerged in water, what will happen to its weight compared to its weight in air?

1 Increased
2 Decrease
3 Remain exactly the same
4 Increase or decrease cannot be predicted
Mechanical Properties of Fluids

143208 If there were no gravity, which of the following will not be there for a fluid?

1 Viscosity
2 Surface tension
3 Pressure
4 Archimedes' upward thrust
Mechanical Properties of Fluids

143210 A plastic tube containing few stones is floating in a tank of water. If the stones are unloaded, the water level

1 remains same
2 rises
3 falls
4 rises or falls depending on the number of stones unloaded
Mechanical Properties of Fluids

143207 A cube of mass $m$ and density $D$ is suspended in a liquid of density $d \lt D$ with the help of a spring of stiffness $k$. The elongation of spring is

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

143212 If some object is weighed when submerged in water, what will happen to its weight compared to its weight in air?

1 Increased
2 Decrease
3 Remain exactly the same
4 Increase or decrease cannot be predicted
Mechanical Properties of Fluids

143208 If there were no gravity, which of the following will not be there for a fluid?

1 Viscosity
2 Surface tension
3 Pressure
4 Archimedes' upward thrust
Mechanical Properties of Fluids

143210 A plastic tube containing few stones is floating in a tank of water. If the stones are unloaded, the water level

1 remains same
2 rises
3 falls
4 rises or falls depending on the number of stones unloaded
Mechanical Properties of Fluids

143207 A cube of mass $m$ and density $D$ is suspended in a liquid of density $d \lt D$ with the help of a spring of stiffness $k$. The elongation of spring is

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

143212 If some object is weighed when submerged in water, what will happen to its weight compared to its weight in air?

1 Increased
2 Decrease
3 Remain exactly the same
4 Increase or decrease cannot be predicted
Mechanical Properties of Fluids

143208 If there were no gravity, which of the following will not be there for a fluid?

1 Viscosity
2 Surface tension
3 Pressure
4 Archimedes' upward thrust
Mechanical Properties of Fluids

143210 A plastic tube containing few stones is floating in a tank of water. If the stones are unloaded, the water level

1 remains same
2 rises
3 falls
4 rises or falls depending on the number of stones unloaded