07. Law of Floating Bodies
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Mechanical Properties of Fluids

143316 A piece of wood is floating in water. When the temperature of water rises, the apparent weight of the wood will

1 increase
2 decrease
3 may increase or decrease
4 remain same.
Mechanical Properties of Fluids

143317 A wooden rod of uniform cross-section and of length $120 \mathrm{~cm}$ is hinged at the bottom of the tank which is filled with water to a height of $40 \mathrm{~cm}$. In the equilibrium position, the rod makes an angle of $60^{\circ}$ with the vertical. The center of buoyancy is located on the rod at a distance (from the hinge) of

1 $20 \mathrm{~cm}$
2 $40 \mathrm{~cm}$
3 $60 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Fluids

143321 A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D(D>>d)$ as shown in figure. If it is burning at the rate of 2 $\mathrm{cm} / \mathrm{hour}$ then the top of the candle will:

1 remain at the same height
2 fall at the rate of $1 \mathrm{~cm} /$ hour
3 fall at the rate of $2 \mathrm{~cm} /$ hour
4 go up at the rate of $1 \mathrm{~cm} /$ hour
Mechanical Properties of Fluids

143322 A block is being hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are $L \mathrm{~cm}$ apart when the wire is in unison with a tuning fork of frequency $N$. When the block is completely immersed in water, the length between the bridges is $l \mathrm{~cm}$ for re-establishing unison. The specific gravity of the material of the block is-

1 $\frac{\mathrm{L}^{2}+l^{2}}{\mathrm{~L}^{2}}$
2 $\frac{\mathrm{L}^{2}-l^{2}}{\mathrm{~L}^{2}}$
3 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}-l^{2}}$
4 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}+l^{2}}$
Mechanical Properties of Fluids

143316 A piece of wood is floating in water. When the temperature of water rises, the apparent weight of the wood will

1 increase
2 decrease
3 may increase or decrease
4 remain same.
Mechanical Properties of Fluids

143317 A wooden rod of uniform cross-section and of length $120 \mathrm{~cm}$ is hinged at the bottom of the tank which is filled with water to a height of $40 \mathrm{~cm}$. In the equilibrium position, the rod makes an angle of $60^{\circ}$ with the vertical. The center of buoyancy is located on the rod at a distance (from the hinge) of

1 $20 \mathrm{~cm}$
2 $40 \mathrm{~cm}$
3 $60 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Fluids

143321 A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D(D>>d)$ as shown in figure. If it is burning at the rate of 2 $\mathrm{cm} / \mathrm{hour}$ then the top of the candle will:

1 remain at the same height
2 fall at the rate of $1 \mathrm{~cm} /$ hour
3 fall at the rate of $2 \mathrm{~cm} /$ hour
4 go up at the rate of $1 \mathrm{~cm} /$ hour
Mechanical Properties of Fluids

143322 A block is being hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are $L \mathrm{~cm}$ apart when the wire is in unison with a tuning fork of frequency $N$. When the block is completely immersed in water, the length between the bridges is $l \mathrm{~cm}$ for re-establishing unison. The specific gravity of the material of the block is-

1 $\frac{\mathrm{L}^{2}+l^{2}}{\mathrm{~L}^{2}}$
2 $\frac{\mathrm{L}^{2}-l^{2}}{\mathrm{~L}^{2}}$
3 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}-l^{2}}$
4 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}+l^{2}}$
Mechanical Properties of Fluids

143316 A piece of wood is floating in water. When the temperature of water rises, the apparent weight of the wood will

1 increase
2 decrease
3 may increase or decrease
4 remain same.
Mechanical Properties of Fluids

143317 A wooden rod of uniform cross-section and of length $120 \mathrm{~cm}$ is hinged at the bottom of the tank which is filled with water to a height of $40 \mathrm{~cm}$. In the equilibrium position, the rod makes an angle of $60^{\circ}$ with the vertical. The center of buoyancy is located on the rod at a distance (from the hinge) of

1 $20 \mathrm{~cm}$
2 $40 \mathrm{~cm}$
3 $60 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Fluids

143321 A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D(D>>d)$ as shown in figure. If it is burning at the rate of 2 $\mathrm{cm} / \mathrm{hour}$ then the top of the candle will:

1 remain at the same height
2 fall at the rate of $1 \mathrm{~cm} /$ hour
3 fall at the rate of $2 \mathrm{~cm} /$ hour
4 go up at the rate of $1 \mathrm{~cm} /$ hour
Mechanical Properties of Fluids

143322 A block is being hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are $L \mathrm{~cm}$ apart when the wire is in unison with a tuning fork of frequency $N$. When the block is completely immersed in water, the length between the bridges is $l \mathrm{~cm}$ for re-establishing unison. The specific gravity of the material of the block is-

1 $\frac{\mathrm{L}^{2}+l^{2}}{\mathrm{~L}^{2}}$
2 $\frac{\mathrm{L}^{2}-l^{2}}{\mathrm{~L}^{2}}$
3 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}-l^{2}}$
4 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}+l^{2}}$
Mechanical Properties of Fluids

143316 A piece of wood is floating in water. When the temperature of water rises, the apparent weight of the wood will

1 increase
2 decrease
3 may increase or decrease
4 remain same.
Mechanical Properties of Fluids

143317 A wooden rod of uniform cross-section and of length $120 \mathrm{~cm}$ is hinged at the bottom of the tank which is filled with water to a height of $40 \mathrm{~cm}$. In the equilibrium position, the rod makes an angle of $60^{\circ}$ with the vertical. The center of buoyancy is located on the rod at a distance (from the hinge) of

1 $20 \mathrm{~cm}$
2 $40 \mathrm{~cm}$
3 $60 \mathrm{~cm}$
4 $75 \mathrm{~cm}$
Mechanical Properties of Fluids

143321 A candle of diameter $d$ is floating on a liquid in a cylindrical container of diameter $D(D>>d)$ as shown in figure. If it is burning at the rate of 2 $\mathrm{cm} / \mathrm{hour}$ then the top of the candle will:

1 remain at the same height
2 fall at the rate of $1 \mathrm{~cm} /$ hour
3 fall at the rate of $2 \mathrm{~cm} /$ hour
4 go up at the rate of $1 \mathrm{~cm} /$ hour
Mechanical Properties of Fluids

143322 A block is being hung in air from a wire which is stretched over a sonometer. The bridges of the sonometer are $L \mathrm{~cm}$ apart when the wire is in unison with a tuning fork of frequency $N$. When the block is completely immersed in water, the length between the bridges is $l \mathrm{~cm}$ for re-establishing unison. The specific gravity of the material of the block is-

1 $\frac{\mathrm{L}^{2}+l^{2}}{\mathrm{~L}^{2}}$
2 $\frac{\mathrm{L}^{2}-l^{2}}{\mathrm{~L}^{2}}$
3 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}-l^{2}}$
4 $\frac{\mathrm{L}^{2}}{\mathrm{~L}^{2}+l^{2}}$