07. Law of Floating Bodies
Mechanical Properties of Fluids

143330 A body floats with one-third volume outside when put in water and three-fourth of its volume outside when put in another liquid. The density of the liquid is

1 $9 / 4 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $8 / 3 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $3 / 8 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $4 / 9 \mathrm{~g} \mathrm{~cm}^{-3}$
Mechanical Properties of Fluids

143332 A swimmer can swim in still water with speed $v$ and the river flowing with velocity $\frac{v}{2}$. To cross the river in shortest time, he should swim making angel $\theta$ with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance?

1 $\cos \theta$
2 $\cot \theta$
3 $\sin \theta$
4 $\tan \theta$
Mechanical Properties of Fluids

143333 A $10 \mathrm{~cm}^{3}$ cube floats in water with a height of 4 $\mathrm{cm}^{3}$ remaining above the surface. The density of the material from which the cube is made is,

1 $0.6 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $0.4 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $0.24 \mathrm{~g} \mathrm{~cm}^{-3}$
5 none of these
Mechanical Properties of Fluids

143334 A wooden block is floating on water kept in a beaker. $40 \%$ of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to $\mathrm{g} / \mathbf{2}$. The block will then

1 $\operatorname{sink}$
2 float with $10 \%$ above the water surface
3 float with $40 \%$ above the water surface
4 float with $70 \%$ above the water surface
Mechanical Properties of Fluids

143330 A body floats with one-third volume outside when put in water and three-fourth of its volume outside when put in another liquid. The density of the liquid is

1 $9 / 4 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $8 / 3 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $3 / 8 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $4 / 9 \mathrm{~g} \mathrm{~cm}^{-3}$
Mechanical Properties of Fluids

143332 A swimmer can swim in still water with speed $v$ and the river flowing with velocity $\frac{v}{2}$. To cross the river in shortest time, he should swim making angel $\theta$ with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance?

1 $\cos \theta$
2 $\cot \theta$
3 $\sin \theta$
4 $\tan \theta$
Mechanical Properties of Fluids

143333 A $10 \mathrm{~cm}^{3}$ cube floats in water with a height of 4 $\mathrm{cm}^{3}$ remaining above the surface. The density of the material from which the cube is made is,

1 $0.6 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $0.4 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $0.24 \mathrm{~g} \mathrm{~cm}^{-3}$
5 none of these
Mechanical Properties of Fluids

143334 A wooden block is floating on water kept in a beaker. $40 \%$ of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to $\mathrm{g} / \mathbf{2}$. The block will then

1 $\operatorname{sink}$
2 float with $10 \%$ above the water surface
3 float with $40 \%$ above the water surface
4 float with $70 \%$ above the water surface
Mechanical Properties of Fluids

143330 A body floats with one-third volume outside when put in water and three-fourth of its volume outside when put in another liquid. The density of the liquid is

1 $9 / 4 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $8 / 3 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $3 / 8 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $4 / 9 \mathrm{~g} \mathrm{~cm}^{-3}$
Mechanical Properties of Fluids

143332 A swimmer can swim in still water with speed $v$ and the river flowing with velocity $\frac{v}{2}$. To cross the river in shortest time, he should swim making angel $\theta$ with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance?

1 $\cos \theta$
2 $\cot \theta$
3 $\sin \theta$
4 $\tan \theta$
Mechanical Properties of Fluids

143333 A $10 \mathrm{~cm}^{3}$ cube floats in water with a height of 4 $\mathrm{cm}^{3}$ remaining above the surface. The density of the material from which the cube is made is,

1 $0.6 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $0.4 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $0.24 \mathrm{~g} \mathrm{~cm}^{-3}$
5 none of these
Mechanical Properties of Fluids

143334 A wooden block is floating on water kept in a beaker. $40 \%$ of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to $\mathrm{g} / \mathbf{2}$. The block will then

1 $\operatorname{sink}$
2 float with $10 \%$ above the water surface
3 float with $40 \%$ above the water surface
4 float with $70 \%$ above the water surface
Mechanical Properties of Fluids

143330 A body floats with one-third volume outside when put in water and three-fourth of its volume outside when put in another liquid. The density of the liquid is

1 $9 / 4 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $8 / 3 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $3 / 8 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $4 / 9 \mathrm{~g} \mathrm{~cm}^{-3}$
Mechanical Properties of Fluids

143332 A swimmer can swim in still water with speed $v$ and the river flowing with velocity $\frac{v}{2}$. To cross the river in shortest time, he should swim making angel $\theta$ with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance?

1 $\cos \theta$
2 $\cot \theta$
3 $\sin \theta$
4 $\tan \theta$
Mechanical Properties of Fluids

143333 A $10 \mathrm{~cm}^{3}$ cube floats in water with a height of 4 $\mathrm{cm}^{3}$ remaining above the surface. The density of the material from which the cube is made is,

1 $0.6 \mathrm{~g} \mathrm{~cm}^{-3}$
2 $1.0 \mathrm{~g} \mathrm{~cm}^{-3}$
3 $0.4 \mathrm{~g} \mathrm{~cm}^{-3}$
4 $0.24 \mathrm{~g} \mathrm{~cm}^{-3}$
5 none of these
Mechanical Properties of Fluids

143334 A wooden block is floating on water kept in a beaker. $40 \%$ of the block is above the water surface. Now the beaker is kept inside a lift that starts going upward with acceleration equal to $\mathrm{g} / \mathbf{2}$. The block will then

1 $\operatorname{sink}$
2 float with $10 \%$ above the water surface
3 float with $40 \%$ above the water surface
4 float with $70 \%$ above the water surface