00. Fluid Property (Pressure, Density), Viscosity
Mechanical Properties of Fluids

142752 An object is made of two equal parts by volume; one part has density $\rho_{0}$ and the other part has density $2 \rho_{0}$. What is the average density of the object?

1 $3 \rho_{0}$
2 $\frac{3}{2} \rho_{0}$
3 $\rho_{0}$
4 $\frac{1}{2} \rho_{0}$
Mechanical Properties of Fluids

142756 A uniform rod is suspended horizontally from its mid-point. A piece of metal whose weight is $w$ is suspended at a distance $l$ from the midpoint. Another weight $W_{1}$ is suspended on the other side at a distance $l_{1}$ from the mid-point to bring the rod to a horizontal position. When $w$ is completely immersed in water, $w_{1}$ needs to be kept at a distance $l_{2}$ from the mid-point to get the rod back into horizontal position. The specific gravity of the metal piece is

1 $\frac{\mathrm{w}}{\mathrm{w}_{1}}$
2 $\frac{\mathrm{w} l_{1}}{\mathrm{w} l-\mathrm{w}_{1} l_{2}}$
3 $\frac{l_{1}}{l_{1}-l_{2}}$
4 $\frac{l_{1}}{l_{2}}$
Mechanical Properties of Fluids

142757 A stone of relative density $K$ is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of

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

142759 300 grams of water at $80^{\circ} \mathrm{C}$ are poured on a large block of ice at $0^{\circ} \mathrm{C}$. The mass of ice that melts is

1 $80 \mathrm{gm}$
2 $30 \mathrm{gm}$
3 $800 \mathrm{gm}$
4 $300 \mathrm{gm}$
Mechanical Properties of Fluids

142752 An object is made of two equal parts by volume; one part has density $\rho_{0}$ and the other part has density $2 \rho_{0}$. What is the average density of the object?

1 $3 \rho_{0}$
2 $\frac{3}{2} \rho_{0}$
3 $\rho_{0}$
4 $\frac{1}{2} \rho_{0}$
Mechanical Properties of Fluids

142756 A uniform rod is suspended horizontally from its mid-point. A piece of metal whose weight is $w$ is suspended at a distance $l$ from the midpoint. Another weight $W_{1}$ is suspended on the other side at a distance $l_{1}$ from the mid-point to bring the rod to a horizontal position. When $w$ is completely immersed in water, $w_{1}$ needs to be kept at a distance $l_{2}$ from the mid-point to get the rod back into horizontal position. The specific gravity of the metal piece is

1 $\frac{\mathrm{w}}{\mathrm{w}_{1}}$
2 $\frac{\mathrm{w} l_{1}}{\mathrm{w} l-\mathrm{w}_{1} l_{2}}$
3 $\frac{l_{1}}{l_{1}-l_{2}}$
4 $\frac{l_{1}}{l_{2}}$
Mechanical Properties of Fluids

142757 A stone of relative density $K$ is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of

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

142759 300 grams of water at $80^{\circ} \mathrm{C}$ are poured on a large block of ice at $0^{\circ} \mathrm{C}$. The mass of ice that melts is

1 $80 \mathrm{gm}$
2 $30 \mathrm{gm}$
3 $800 \mathrm{gm}$
4 $300 \mathrm{gm}$
Mechanical Properties of Fluids

142752 An object is made of two equal parts by volume; one part has density $\rho_{0}$ and the other part has density $2 \rho_{0}$. What is the average density of the object?

1 $3 \rho_{0}$
2 $\frac{3}{2} \rho_{0}$
3 $\rho_{0}$
4 $\frac{1}{2} \rho_{0}$
Mechanical Properties of Fluids

142756 A uniform rod is suspended horizontally from its mid-point. A piece of metal whose weight is $w$ is suspended at a distance $l$ from the midpoint. Another weight $W_{1}$ is suspended on the other side at a distance $l_{1}$ from the mid-point to bring the rod to a horizontal position. When $w$ is completely immersed in water, $w_{1}$ needs to be kept at a distance $l_{2}$ from the mid-point to get the rod back into horizontal position. The specific gravity of the metal piece is

1 $\frac{\mathrm{w}}{\mathrm{w}_{1}}$
2 $\frac{\mathrm{w} l_{1}}{\mathrm{w} l-\mathrm{w}_{1} l_{2}}$
3 $\frac{l_{1}}{l_{1}-l_{2}}$
4 $\frac{l_{1}}{l_{2}}$
Mechanical Properties of Fluids

142757 A stone of relative density $K$ is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of

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

142759 300 grams of water at $80^{\circ} \mathrm{C}$ are poured on a large block of ice at $0^{\circ} \mathrm{C}$. The mass of ice that melts is

1 $80 \mathrm{gm}$
2 $30 \mathrm{gm}$
3 $800 \mathrm{gm}$
4 $300 \mathrm{gm}$
Mechanical Properties of Fluids

142752 An object is made of two equal parts by volume; one part has density $\rho_{0}$ and the other part has density $2 \rho_{0}$. What is the average density of the object?

1 $3 \rho_{0}$
2 $\frac{3}{2} \rho_{0}$
3 $\rho_{0}$
4 $\frac{1}{2} \rho_{0}$
Mechanical Properties of Fluids

142756 A uniform rod is suspended horizontally from its mid-point. A piece of metal whose weight is $w$ is suspended at a distance $l$ from the midpoint. Another weight $W_{1}$ is suspended on the other side at a distance $l_{1}$ from the mid-point to bring the rod to a horizontal position. When $w$ is completely immersed in water, $w_{1}$ needs to be kept at a distance $l_{2}$ from the mid-point to get the rod back into horizontal position. The specific gravity of the metal piece is

1 $\frac{\mathrm{w}}{\mathrm{w}_{1}}$
2 $\frac{\mathrm{w} l_{1}}{\mathrm{w} l-\mathrm{w}_{1} l_{2}}$
3 $\frac{l_{1}}{l_{1}-l_{2}}$
4 $\frac{l_{1}}{l_{2}}$
Mechanical Properties of Fluids

142757 A stone of relative density $K$ is released from rest on the surface of a lake. If viscous effects are ignored, the stone sinks in water with an acceleration of

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

142759 300 grams of water at $80^{\circ} \mathrm{C}$ are poured on a large block of ice at $0^{\circ} \mathrm{C}$. The mass of ice that melts is

1 $80 \mathrm{gm}$
2 $30 \mathrm{gm}$
3 $800 \mathrm{gm}$
4 $300 \mathrm{gm}$