143258
Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is
1 Directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 Directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 Inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 Inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Explanation:
B We know that, Viscous force $(\mathrm{F})=6 \pi \eta \mathrm{Rv}$ $\therefore$ So, $\mathrm{F}$ is directly proportional to radius (R) and velocity (v).
UP CPMT-2008
Mechanical Properties of Fluids
143268
A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the speed of water leaving the second pipe is
143290
If two soap bubbles of different radii are connected by a tube, then
1 air flows from bigger bubble to the smaller bubble till sizes become equal
2 air flows from bigger bubble to the smaller bubble till sizes are interchanged
3 air flows from smaller bubble to bigger
4 there is no flow of air
Explanation:
C Excess pressure inside a soap bubble - $\mathrm{P}_{\mathrm{i}}-\mathrm{P}_{\mathrm{o}}=\frac{4 \sigma}{\mathrm{R}}$ Hence the excess pressure inside the soap bubble is inversely proportional to radius of soap bubble i.e. $P \propto 1 / R$, where $R$ is the radius of soap bubble. It follows that pressure inside a smaller bubble is greater than that inside a bigger bubble. Thus, if these two bubbles are connected by a tube, then air will flow from smaller bubble to bigger bubble.
AP EAMCET -2011
Mechanical Properties of Fluids
143217
In stream line flow of liquid, the total energy of liquid is constant at :
1 all points
2 inner points
3 outer points
4 None of these
Explanation:
A We know, In stream line flow of liquid, the total energy of liquid is constant at all points. Since it works on the conservation of energy.
143258
Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is
1 Directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 Directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 Inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 Inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Explanation:
B We know that, Viscous force $(\mathrm{F})=6 \pi \eta \mathrm{Rv}$ $\therefore$ So, $\mathrm{F}$ is directly proportional to radius (R) and velocity (v).
UP CPMT-2008
Mechanical Properties of Fluids
143268
A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the speed of water leaving the second pipe is
143290
If two soap bubbles of different radii are connected by a tube, then
1 air flows from bigger bubble to the smaller bubble till sizes become equal
2 air flows from bigger bubble to the smaller bubble till sizes are interchanged
3 air flows from smaller bubble to bigger
4 there is no flow of air
Explanation:
C Excess pressure inside a soap bubble - $\mathrm{P}_{\mathrm{i}}-\mathrm{P}_{\mathrm{o}}=\frac{4 \sigma}{\mathrm{R}}$ Hence the excess pressure inside the soap bubble is inversely proportional to radius of soap bubble i.e. $P \propto 1 / R$, where $R$ is the radius of soap bubble. It follows that pressure inside a smaller bubble is greater than that inside a bigger bubble. Thus, if these two bubbles are connected by a tube, then air will flow from smaller bubble to bigger bubble.
AP EAMCET -2011
Mechanical Properties of Fluids
143217
In stream line flow of liquid, the total energy of liquid is constant at :
1 all points
2 inner points
3 outer points
4 None of these
Explanation:
A We know, In stream line flow of liquid, the total energy of liquid is constant at all points. Since it works on the conservation of energy.
143258
Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is
1 Directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 Directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 Inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 Inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Explanation:
B We know that, Viscous force $(\mathrm{F})=6 \pi \eta \mathrm{Rv}$ $\therefore$ So, $\mathrm{F}$ is directly proportional to radius (R) and velocity (v).
UP CPMT-2008
Mechanical Properties of Fluids
143268
A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the speed of water leaving the second pipe is
143290
If two soap bubbles of different radii are connected by a tube, then
1 air flows from bigger bubble to the smaller bubble till sizes become equal
2 air flows from bigger bubble to the smaller bubble till sizes are interchanged
3 air flows from smaller bubble to bigger
4 there is no flow of air
Explanation:
C Excess pressure inside a soap bubble - $\mathrm{P}_{\mathrm{i}}-\mathrm{P}_{\mathrm{o}}=\frac{4 \sigma}{\mathrm{R}}$ Hence the excess pressure inside the soap bubble is inversely proportional to radius of soap bubble i.e. $P \propto 1 / R$, where $R$ is the radius of soap bubble. It follows that pressure inside a smaller bubble is greater than that inside a bigger bubble. Thus, if these two bubbles are connected by a tube, then air will flow from smaller bubble to bigger bubble.
AP EAMCET -2011
Mechanical Properties of Fluids
143217
In stream line flow of liquid, the total energy of liquid is constant at :
1 all points
2 inner points
3 outer points
4 None of these
Explanation:
A We know, In stream line flow of liquid, the total energy of liquid is constant at all points. Since it works on the conservation of energy.
143258
Spherical balls of radius $R$ are falling in a viscous fluid of viscosity $\eta$ with a velocity $v$. The retarding viscous force acting on the spherical ball is
1 Directly proportional to $\mathrm{R}$ but inversely proportional to $\mathrm{v}$
2 Directly proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
3 Inversely proportional to both radius $\mathrm{R}$ and velocity $\mathrm{v}$
4 Inversely proportional to $\mathrm{R}$ but directly proportional to velocity $\mathrm{v}$
Explanation:
B We know that, Viscous force $(\mathrm{F})=6 \pi \eta \mathrm{Rv}$ $\therefore$ So, $\mathrm{F}$ is directly proportional to radius (R) and velocity (v).
UP CPMT-2008
Mechanical Properties of Fluids
143268
A pipe having an internal diameter $D$ is connected to another pipe of same size. Water flows into the second pipe through ' $n$ ' holes, each of diameter $d$. If the water in the first pipe has speed $v$, the speed of water leaving the second pipe is
143290
If two soap bubbles of different radii are connected by a tube, then
1 air flows from bigger bubble to the smaller bubble till sizes become equal
2 air flows from bigger bubble to the smaller bubble till sizes are interchanged
3 air flows from smaller bubble to bigger
4 there is no flow of air
Explanation:
C Excess pressure inside a soap bubble - $\mathrm{P}_{\mathrm{i}}-\mathrm{P}_{\mathrm{o}}=\frac{4 \sigma}{\mathrm{R}}$ Hence the excess pressure inside the soap bubble is inversely proportional to radius of soap bubble i.e. $P \propto 1 / R$, where $R$ is the radius of soap bubble. It follows that pressure inside a smaller bubble is greater than that inside a bigger bubble. Thus, if these two bubbles are connected by a tube, then air will flow from smaller bubble to bigger bubble.
AP EAMCET -2011
Mechanical Properties of Fluids
143217
In stream line flow of liquid, the total energy of liquid is constant at :
1 all points
2 inner points
3 outer points
4 None of these
Explanation:
A We know, In stream line flow of liquid, the total energy of liquid is constant at all points. Since it works on the conservation of energy.
