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Physics

Fluid-Mechanics

Easy

Question

A wooden stick 2m long is floating on the surface of water. The surface tension of water 0.07 N/m. By putting soap solution on one side of the sticks the surface tension is reduced to 0.06 N/m. The net force on the stick will be

0.07 N
0.06 N
0.01 N
0.02 N

The correct answer is: 0.02 N

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A 10 cm long wire is placed horizontally on the surface of water and is gently pulled up with a force of 2 ×10^-2N to keep the wire in equilibrium. The surface tension, in Nm^-1, of water is

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With regard to dependence of quantities given in column I and II, match the following :

Column - I

Column - II

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Young's modules of a substance
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ii.
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iii.
Modulus of rigidity of a substance
c.
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iv.
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d.
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Column - I

Column - II

i.
Young's modules of a substance
a.
Depends on temperature

ii.
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b.
Depends on length

iii.
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Column - II

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Formation of bigger drop from small droplets
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Temperature in creases

iii.
Spraying of liquid
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d.
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Column - I

Column - II

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Splitting of bigger drop into small droplets
a.
Temperature increases

ii.
Formation of bigger drop from small droplets
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Volume changes

Shear stress
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Volume changes

Shear stress
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Column - II

i.
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iii.
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A steel bolt of cross-sectional area $A subscript b equals 5 cross times 10 to the power of negative 5 end exponent straight m squared$ is passed through a cylindrical tube made of aluminium. Cross-sectional area of the tube material is $A subscript t equals 10 to the power of negative 4 end exponent m squared$ and its length is l =50 cm. The bolt is just taut to that there is no stress in the bolt and temperature of the assembly increases through $straight capital delta theta equals 10 to the power of ring operator straight C$ . Given, coefficient of linear thermal expansion of steel, $alpha subscript b equals 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
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linear thermal expansion of $A l alpha subscript t equals 2 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
The compressive stress in tube is

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.
Young 's modulus of steel $Y subscript b equals 2 cross times 10 to the power of ′′ N divided by m squared$
Young's modulus of $A l comma Y subscript t equals 10 to the power of 11 N divided by m squared$ ,coefficient of
linear thermal expansion of $A l alpha subscript t equals 2 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
The compressive stress in tube is

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Young 's modulus of steel $Y subscript b equals 2 cross times 10 to the power of ′′ N divided by m squared$
Young's modulus of $A l comma Y subscript t equals 10 to the power of 11 N divided by m squared$ ,coefficient of
linear thermal expansion of $A l alpha subscript t equals 2 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
the compressive strain in tube is

A steel bolt of cross-sectional area $A subscript b equals 5 cross times 10 to the power of negative 5 end exponent straight m squared$ is passed through a cylindrical tube made of aluminium. Cross-sectional area of the tube material is $A subscript t equals 10 to the power of negative 4 end exponent m squared$ and its length is l =50 cm. The bolt is just taut to that there is no stress in the bolt and temperature of the assembly increases through $straight capital delta theta equals 10 to the power of ring operator straight C$ . Given, coefficient of linear thermal expansion of steel, $alpha subscript b equals 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
.
Young 's modulus of steel $Y subscript b equals 2 cross times 10 to the power of ′′ N divided by m squared$
Young's modulus of $A l comma Y subscript t equals 10 to the power of 11 N divided by m squared$ ,coefficient of
linear thermal expansion of $A l alpha subscript t equals 2 cross times 10 to the power of negative 5 end exponent divided by to the power of ring operator straight C$
the compressive strain in tube is

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A long capillary tube of radius 0.2 min is placed vertically inside a beaker of water
If the tube is now pushed into water so that only 5.0 cm of its length is above the surface, then determine the angle of contact between the liquid and glass surface.

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A long capillary tube of radius 0.2 min is placed vertically inside a beaker of water
If the surface tension of water is $7.2 cross times 10 to the power of negative 2 end exponent N divided by m$ and the angle of contact between
glass and water is zero, then determine the height of the water column in the tube.

A long capillary tube of radius 0.2 min is placed vertically inside a beaker of water
If the surface tension of water is $7.2 cross times 10 to the power of negative 2 end exponent N divided by m$ and the angle of contact between
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A light rod of length L = 2 m is suspended horizontally from the ceiling by two wires A and B of equal lengths. The wire A is made of steel with the area of cross section As $A subscript S equals 1 cross times 10 to the power of negative 5 end exponent straight m squared$ , while the wire B is made of brass of cross-sectional area . $A subscript b equals 2 cross times 10 to the power of negative 5 end exponent straight m squared$ A weight W is suspended at a distance x from the wire A as shown in the figure. Take, Young's modulus of steel and brass as
$Y subscript s equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent text end text$ and $Y subscript b equals 1 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent$

Determine the value of x so that equal strains are produced in each wire.

A light rod of length L = 2 m is suspended horizontally from the ceiling by two wires A and B of equal lengths. The wire A is made of steel with the area of cross section As $A subscript S equals 1 cross times 10 to the power of negative 5 end exponent straight m squared$ , while the wire B is made of brass of cross-sectional area . $A subscript b equals 2 cross times 10 to the power of negative 5 end exponent straight m squared$ A weight W is suspended at a distance x from the wire A as shown in the figure. Take, Young's modulus of steel and brass as
$Y subscript s equals 2 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent text end text$ and $Y subscript b equals 1 cross times 10 to the power of 11 Nm to the power of negative 2 end exponent$

Determine the value of x so that equal strains are produced in each wire.

PhysicsFluid-Mechanics

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