Mechanical Properties of Fluids Test

Result

Mechanical Properties of Fluids Test - 64

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Question 1
1 / -0

In Millikan oil drop experiment a charged drop falls with a terminal velocity $$V$$. If an electric field $$E$$ is applied vertically upwards it moves with terminal velocity $$2V$$ in upward direction. If electric field reduces to $$E/2$$ then its terminal velocity will be-

A
$$\dfrac{V}{2}$$

B
$$V$$

C
$$\dfrac{3V}{2}$$

D
$$2V$$

Solution

In absence of electric field (i.e. $$\varepsilon =0$$)
$$Mg=6\pi nv$$
$${ D }_{ 1 }=6\pi nrv\quad \longrightarrow \left( 1 \right) $$
In presence of electric field
$$Mg+QE=6\pi n\left( 2V \right) \quad \longrightarrow \left( 2 \right) $$
When electric field $$D$$ reduced to $$E/2$$
$$Mg+Q\left( E/2 \right) =6\pi n\left( { V }^{ 1 } \right) $$
$${ D }_{ 3 }=6\pi nr\left( 2V \right) \quad \longrightarrow \left( 3 \right) $$
After solving $$(1)$$, $$(2)$$ and $$(3)$$
We get $${ V }^{ 1 }=\dfrac { 3 }{ 2 } V$$.
Question 2
1 / -0

The U-tube acts as a water siphon. The bend in the tube is lm above the water surface. The tube outlet is 7m below the water surface. The water issues from the bottom of the siphon as a free jet at atmospheric pressure. Determine the speed of the free jet and the minimum absolute pressure of the water in the bend. Given atm pressure $$=1.01\times 10^5 \,N / m^2.g =9.8m /s^2, p_w =10^3\, kg/g/m^3) $$

A
$$10 \, m/s, 2\times 10^4 \, N/m^2$$

B
$$11.7 \, m/s, 2.27\times 10^4 \, N/m^2$$

C
$$5 \, m/s, 4\times 10^4 \, N/m^2$$

D
$$12 \, m/s, 3\times 10^4 \, N/m^2$$

Solution
Question 3
1 / -0

A tube has two area of cross-section as shown in figure. The diameters of the tube are 8 mm and 2 mm. Find range of water falling on horizontal surface, if piston is moving with a constant velocity of 0.25 m/s, h = 1.25 m (g = 10 $$m/s^2$$).

A
$$2 m$$

B
$$4 m$$

C
$$6 m$$

D
$$8 m$$

Solution
Question 4
1 / -0

In a horizontal pipe line of uniform cross section as pressure falls between two points separated by certain distance, the change in the kinetic energy of the oil flowing between these two points is $$ 0.01 J \mathrm { kg }$$ and density of the oil is $$800\mathrm { kg } \mathrm { m } ^ { - 3 }.$$ Then the fall in pressure between those two points is

A
$$2 N m ^ { - 2 }$$

B
$$4 N m ^ { - 2 }$$

C
$$6 N m ^ { - 2 }$$

D
$$8 N m ^ { - 2 }$$

Solution
Question 5
1 / -0

A vessel with water is placed on a weighing pan and reads $$600$$g.Now a ball of $$40$$g and density 0.80g/cc is sunk into the water with a pin as shown in fig., keeping it sunk. The weighing pan will show a reading .

A
$$600$$g

B
$$550$$g

C
$$650$$g

D
$$632$$g

Solution
Question 6
1 / -0

The reading of pressure-meter attached with a closed pipe is $$3.5 \times 10 ^ { 5 } \mathrm { nm } ^ { - 2 }$$. On opening the valve of the pipe the reading of the pressure-meter is reduced to $$3 \times 10 ^ { 5 } \mathrm { nm } ^ { - 2 }$$. What is the speed of water flowing in the pipe?

A
$$20 \mathrm { ms } ^ { - 1 }$$

B
$$10 \mathrm { ms } ^ { - 1 }$$

C
$$15 \mathrm { cms } ^ { - 1 }$$

D
$$10 \mathrm { cms } ^ { - 1 }$$

Solution
Question 7
1 / -0

Given figure shows a large closed cylindrical tank containing water. Initially, the air trapped above the water surface has a height $$h_0$$ and pressure $$2P_0$$ where $$P_0$$ is the atmospheric pressure. There is a hole in the wall of the tank at a depth $$h_1$$ below the top from which water comes out. A long vertical tube is connected as shown
Find the speed with which water comes out of the hole

A
$$\frac{1}{\rho} [ P_0 -\rho g (h_1 - 2h_0)]^{1/2}$$

B
$$[\frac{2}{\rho} [ P_0 +\rho g (h_1 - h_0)]]^{1/2}$$

C
$$[\frac{3}{\rho} [ P_0 + \rho g (h_1 + h_0)]]^{1/2}$$

D
$$[\frac{4}{\rho} [ P_0 -\rho g (h_1 - h_0)]]^{1/2}$$

Solution
Question 8
1 / -0

A tank containing water has an orifice in one vertical side. It is 10 m below the level of water in tank. Then velocity of efflux from that small orifice is

A
$${ 7ms }^{ -1 }$$

B
$${ 3.5ms }^{ -1 }$$

C
$${ 9.8ms }^{ -1 }$$

D
$${ 14ms }^{ -1 }$$

Solution
Question 9
1 / -0

An ideal liquid of density $$p$$ is following through a uniform horizontal tube $$OPQ$$ of cross sectional area $$A$$ with uniform speed $$V$$ as shown in figure. The magnitude of force exerted by liquid on the tube is

A
$${ pAV }^{ 2 }$$

B
$$2{ pAV }^{ 2 }$$

C
$$\sqrt { 3p } { AV }^{ 2 }$$

D
$$2\sqrt { 3p } { AV }^{ 2 }$$

Solution
Question 10
1 / -0

Shape of meniscus for a liquid of zero angle of contact is

A
obtuse

B
parabolic

C
hemi-spherical

D
cylindrical

Solution

Shape of meniscus for a liquid of zero angle
of contact is obtuse, its like a convex
shape.
So the correct option is (A).