07. Law of Floating Bodies
Mechanical Properties of Fluids

143323 An air bubble of radius $10^{-2} \mathrm{~m}$ is rising up at a steady rate of $2 \times 10^{-3} \mathrm{~m} / \mathrm{s}$ through a liquid of density $1.5 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, the coefficient of viscosity neglecting the density of air, will be $(g=10$ $\mathbf{m} / \mathbf{s}^{2}$ )

1 23.2 units
2 83.5 units
3 334 units
4 167 units
Mechanical Properties of Fluids

143319 Assertion : The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
Reason: For a rigid body a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Mechanical Properties of Fluids

143320 Assertion: A bubble comes from the bottom of a lake to the top.
Reason: Its radius increases.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Mechanical Properties of Fluids

143324 Find the lifting force of a $4 \mathrm{~kg}$ cork life belt in sea water, if the densities of cork and sea water are $0.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $1.03 \times 10^{3} \quad \mathrm{~kg} / \mathrm{m}^{3}$ respectively.

1 $163 \mathrm{~N}$
2 $273 \mathrm{~N}$
3 $119 \mathrm{~N}$
4 $298 \mathrm{~N}$
Mechanical Properties of Fluids

143325 A vessel contains liquid of density $\rho$ over another liquid of density $m \rho$ (where $m$ is any number). A homogeneous sphere floats with $\frac{1}{n}$ times (where $\eta$ is any number) of its volume in liquid of density $\mathrm{m} \rho$ and remaining portion in liquid of density $\rho$. The density of the material of the sphere is)

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

143323 An air bubble of radius $10^{-2} \mathrm{~m}$ is rising up at a steady rate of $2 \times 10^{-3} \mathrm{~m} / \mathrm{s}$ through a liquid of density $1.5 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, the coefficient of viscosity neglecting the density of air, will be $(g=10$ $\mathbf{m} / \mathbf{s}^{2}$ )

1 23.2 units
2 83.5 units
3 334 units
4 167 units
Mechanical Properties of Fluids

143319 Assertion : The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
Reason: For a rigid body a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Mechanical Properties of Fluids

143320 Assertion: A bubble comes from the bottom of a lake to the top.
Reason: Its radius increases.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Mechanical Properties of Fluids

143324 Find the lifting force of a $4 \mathrm{~kg}$ cork life belt in sea water, if the densities of cork and sea water are $0.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $1.03 \times 10^{3} \quad \mathrm{~kg} / \mathrm{m}^{3}$ respectively.

1 $163 \mathrm{~N}$
2 $273 \mathrm{~N}$
3 $119 \mathrm{~N}$
4 $298 \mathrm{~N}$
Mechanical Properties of Fluids

143325 A vessel contains liquid of density $\rho$ over another liquid of density $m \rho$ (where $m$ is any number). A homogeneous sphere floats with $\frac{1}{n}$ times (where $\eta$ is any number) of its volume in liquid of density $\mathrm{m} \rho$ and remaining portion in liquid of density $\rho$. The density of the material of the sphere is)

1 $\left(\frac{m-n+1}{n}\right) \rho$
2 $\left(\frac{\mathrm{m}+\mathrm{n}-1}{\mathrm{n}}\right) \rho$
3 $\left(\frac{\mathrm{m}+\mathrm{n}+1}{\mathrm{n}}\right) \rho$
4 $\left(\frac{\mathrm{n}-1}{\mathrm{~m}+1}\right) \rho$
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Fluids

143323 An air bubble of radius $10^{-2} \mathrm{~m}$ is rising up at a steady rate of $2 \times 10^{-3} \mathrm{~m} / \mathrm{s}$ through a liquid of density $1.5 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, the coefficient of viscosity neglecting the density of air, will be $(g=10$ $\mathbf{m} / \mathbf{s}^{2}$ )

1 23.2 units
2 83.5 units
3 334 units
4 167 units
Mechanical Properties of Fluids

143319 Assertion : The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
Reason: For a rigid body a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Mechanical Properties of Fluids

143320 Assertion: A bubble comes from the bottom of a lake to the top.
Reason: Its radius increases.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Mechanical Properties of Fluids

143324 Find the lifting force of a $4 \mathrm{~kg}$ cork life belt in sea water, if the densities of cork and sea water are $0.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $1.03 \times 10^{3} \quad \mathrm{~kg} / \mathrm{m}^{3}$ respectively.

1 $163 \mathrm{~N}$
2 $273 \mathrm{~N}$
3 $119 \mathrm{~N}$
4 $298 \mathrm{~N}$
Mechanical Properties of Fluids

143325 A vessel contains liquid of density $\rho$ over another liquid of density $m \rho$ (where $m$ is any number). A homogeneous sphere floats with $\frac{1}{n}$ times (where $\eta$ is any number) of its volume in liquid of density $\mathrm{m} \rho$ and remaining portion in liquid of density $\rho$. The density of the material of the sphere is)

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

143323 An air bubble of radius $10^{-2} \mathrm{~m}$ is rising up at a steady rate of $2 \times 10^{-3} \mathrm{~m} / \mathrm{s}$ through a liquid of density $1.5 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, the coefficient of viscosity neglecting the density of air, will be $(g=10$ $\mathbf{m} / \mathbf{s}^{2}$ )

1 23.2 units
2 83.5 units
3 334 units
4 167 units
Mechanical Properties of Fluids

143319 Assertion : The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
Reason: For a rigid body a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Mechanical Properties of Fluids

143320 Assertion: A bubble comes from the bottom of a lake to the top.
Reason: Its radius increases.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Mechanical Properties of Fluids

143324 Find the lifting force of a $4 \mathrm{~kg}$ cork life belt in sea water, if the densities of cork and sea water are $0.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $1.03 \times 10^{3} \quad \mathrm{~kg} / \mathrm{m}^{3}$ respectively.

1 $163 \mathrm{~N}$
2 $273 \mathrm{~N}$
3 $119 \mathrm{~N}$
4 $298 \mathrm{~N}$
Mechanical Properties of Fluids

143325 A vessel contains liquid of density $\rho$ over another liquid of density $m \rho$ (where $m$ is any number). A homogeneous sphere floats with $\frac{1}{n}$ times (where $\eta$ is any number) of its volume in liquid of density $\mathrm{m} \rho$ and remaining portion in liquid of density $\rho$. The density of the material of the sphere is)

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

143323 An air bubble of radius $10^{-2} \mathrm{~m}$ is rising up at a steady rate of $2 \times 10^{-3} \mathrm{~m} / \mathrm{s}$ through a liquid of density $1.5 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$, the coefficient of viscosity neglecting the density of air, will be $(g=10$ $\mathbf{m} / \mathbf{s}^{2}$ )

1 23.2 units
2 83.5 units
3 334 units
4 167 units
Mechanical Properties of Fluids

143319 Assertion : The buoyant force on a submerged rigid object can be considered to be acting at the centre of mass of the object.
Reason: For a rigid body a force field distributed uniformly through its volume can be considered to be acting at the centre of mass of the body.

1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Mechanical Properties of Fluids

143320 Assertion: A bubble comes from the bottom of a lake to the top.
Reason: Its radius increases.

1 If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.
2 If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.
3 If the Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
5 If the Assertion is incorrect but the Reason is correct.
Mechanical Properties of Fluids

143324 Find the lifting force of a $4 \mathrm{~kg}$ cork life belt in sea water, if the densities of cork and sea water are $0.2 \times 10^{3} \mathrm{~kg} / \mathrm{m}^{3}$ and $1.03 \times 10^{3} \quad \mathrm{~kg} / \mathrm{m}^{3}$ respectively.

1 $163 \mathrm{~N}$
2 $273 \mathrm{~N}$
3 $119 \mathrm{~N}$
4 $298 \mathrm{~N}$
Mechanical Properties of Fluids

143325 A vessel contains liquid of density $\rho$ over another liquid of density $m \rho$ (where $m$ is any number). A homogeneous sphere floats with $\frac{1}{n}$ times (where $\eta$ is any number) of its volume in liquid of density $\mathrm{m} \rho$ and remaining portion in liquid of density $\rho$. The density of the material of the sphere is)

1 $\left(\frac{m-n+1}{n}\right) \rho$
2 $\left(\frac{\mathrm{m}+\mathrm{n}-1}{\mathrm{n}}\right) \rho$
3 $\left(\frac{\mathrm{m}+\mathrm{n}+1}{\mathrm{n}}\right) \rho$
4 $\left(\frac{\mathrm{n}-1}{\mathrm{~m}+1}\right) \rho$