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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361006 Assertion :
For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity.
Reason :
The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361007 A \(10\;c{m^3}\) cube floats in water with a volume of \(4\;c{m^3}\) remaining above the surface. The density of the material from which the cube is made, is

1 \(0.6\;g\;c{m^{ - 3}}\)
2 \(1\;g\;c{m^{ - 3}}\)
3 \(0.4\;g\;c{m^{ - 3}}\)
4 \(0.24\;g\;c{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361008 A solid floats with \(1 / 4\) th of its volume above the surface of water, the density of the solid is

1 \(750\;kg\;{m^{ - 3}}\)
2 \(650\;kg\;{m^{ - 3}}\)
3 \(560\;kg\;{m^{ - 3}}\)
4 \(450\;kg\;{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361009 Density of ice is \(\rho\) and that of water is \(\sigma\). What will be the decrease in volume when a mass \(M\) of ice melts?

1 \(\dfrac{M}{\sigma-\rho}\)
2 \(\dfrac{\sigma-\rho}{M}\)
3 \(\frac{{\sigma + \rho }}{M}\)
4 \(M\left[\dfrac{1}{\rho}-\dfrac{1}{\sigma}\right]\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361006 Assertion :
For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity.
Reason :
The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361007 A \(10\;c{m^3}\) cube floats in water with a volume of \(4\;c{m^3}\) remaining above the surface. The density of the material from which the cube is made, is

1 \(0.6\;g\;c{m^{ - 3}}\)
2 \(1\;g\;c{m^{ - 3}}\)
3 \(0.4\;g\;c{m^{ - 3}}\)
4 \(0.24\;g\;c{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361008 A solid floats with \(1 / 4\) th of its volume above the surface of water, the density of the solid is

1 \(750\;kg\;{m^{ - 3}}\)
2 \(650\;kg\;{m^{ - 3}}\)
3 \(560\;kg\;{m^{ - 3}}\)
4 \(450\;kg\;{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361009 Density of ice is \(\rho\) and that of water is \(\sigma\). What will be the decrease in volume when a mass \(M\) of ice melts?

1 \(\dfrac{M}{\sigma-\rho}\)
2 \(\dfrac{\sigma-\rho}{M}\)
3 \(\frac{{\sigma + \rho }}{M}\)
4 \(M\left[\dfrac{1}{\rho}-\dfrac{1}{\sigma}\right]\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361006 Assertion :
For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity.
Reason :
The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361007 A \(10\;c{m^3}\) cube floats in water with a volume of \(4\;c{m^3}\) remaining above the surface. The density of the material from which the cube is made, is

1 \(0.6\;g\;c{m^{ - 3}}\)
2 \(1\;g\;c{m^{ - 3}}\)
3 \(0.4\;g\;c{m^{ - 3}}\)
4 \(0.24\;g\;c{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361008 A solid floats with \(1 / 4\) th of its volume above the surface of water, the density of the solid is

1 \(750\;kg\;{m^{ - 3}}\)
2 \(650\;kg\;{m^{ - 3}}\)
3 \(560\;kg\;{m^{ - 3}}\)
4 \(450\;kg\;{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361009 Density of ice is \(\rho\) and that of water is \(\sigma\). What will be the decrease in volume when a mass \(M\) of ice melts?

1 \(\dfrac{M}{\sigma-\rho}\)
2 \(\dfrac{\sigma-\rho}{M}\)
3 \(\frac{{\sigma + \rho }}{M}\)
4 \(M\left[\dfrac{1}{\rho}-\dfrac{1}{\sigma}\right]\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361006 Assertion :
For a floating body to be in stable equilibrium, its centre of buoyancy must be located above the centre of gravity.
Reason :
The torque produced by the weight of the body and the upthrust will restore body back to its normal position, after the body is disturbed.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361007 A \(10\;c{m^3}\) cube floats in water with a volume of \(4\;c{m^3}\) remaining above the surface. The density of the material from which the cube is made, is

1 \(0.6\;g\;c{m^{ - 3}}\)
2 \(1\;g\;c{m^{ - 3}}\)
3 \(0.4\;g\;c{m^{ - 3}}\)
4 \(0.24\;g\;c{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361008 A solid floats with \(1 / 4\) th of its volume above the surface of water, the density of the solid is

1 \(750\;kg\;{m^{ - 3}}\)
2 \(650\;kg\;{m^{ - 3}}\)
3 \(560\;kg\;{m^{ - 3}}\)
4 \(450\;kg\;{m^{ - 3}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361009 Density of ice is \(\rho\) and that of water is \(\sigma\). What will be the decrease in volume when a mass \(M\) of ice melts?

1 \(\dfrac{M}{\sigma-\rho}\)
2 \(\dfrac{\sigma-\rho}{M}\)
3 \(\frac{{\sigma + \rho }}{M}\)
4 \(M\left[\dfrac{1}{\rho}-\dfrac{1}{\sigma}\right]\)
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