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question_answer1)
If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake [RPET 2000]
A)
10 m done
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B)
20 m done
clear
C)
60 m done
clear
D)
30 m done
clear
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question_answer2)
Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is 36 g and its density is 9 g / cm3. If the mass of the other is 48 g, its density in g / cm3 is [CBSE PMT 1994]
A)
\[\frac{4}{3}\] done
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B)
\[\frac{3}{2}\] done
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C)
3 done
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D)
5 done
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question_answer3)
An inverted bell lying at the bottom of a lake 47.6 m deep has 50 cm3 of air trapped in it. The bell is brought to the surface of the lake. The volume of the trapped air will be (atmospheric pressure = 70 cm of Hg and density of Hg = 13.6 g/cm3) [CPMT 1989]
A)
350 cm3 done
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B)
300 cm3 done
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C)
250 cm3 done
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D)
22 cm3 done
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question_answer4)
A uniformly tapering vessel is filled with a liquid of density 900 kg/m3. The force that acts on the base of the vessel due to the liquid is \[(g=10\,m{{s}^{-2}})\]
A)
3.6 N done
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B)
7.2 N done
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C)
9.0 N done
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D)
14.4 N done
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question_answer5)
A siphon in use is demonstrated in the following figure. The density of the liquid flowing in siphon is 1.5 gm/cc. The pressure difference between the point P and S will be
A)
105 N/m done
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B)
2 × 105 N/m done
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C)
Zero done
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D)
Infinity done
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question_answer6)
The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. Ratio of density of mercury to that of air is 104. The height of the hill is
A)
250 m done
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B)
2.5 km done
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C)
1.25 km done
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D)
750 m done
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question_answer7)
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
A)
\[\frac{M}{\sigma -\rho }\] done
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B)
\[\frac{\sigma -\rho }{M}\] done
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C)
\[M\,\left[ \frac{1}{\rho }-\frac{1}{\sigma } \right]\] done
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D)
\[\frac{1}{M}\left[ \frac{1}{\rho }-\frac{1}{\sigma } \right]\] done
clear
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question_answer8)
Equal masses of water and a liquid of density 2 are mixed together, then the mixture has a density of
A)
2/3 done
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B)
4/3 done
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C)
3/2 done
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D)
3 done
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question_answer9)
A body of density \[{{d}_{1}}\]is counterpoised by \[Mg\] of weights of density \[{{d}_{2}}\] in air of density d. Then the true mass of the body is
A)
M done
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B)
\[M\,\left( 1-\frac{d}{{{d}_{2}}} \right)\] done
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C)
\[M\left( 1-\frac{d}{{{d}_{1}}} \right)\] done
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D)
\[\frac{M(1-d/{{d}_{2}})}{(1-d/{{d}_{1}})}\] done
clear
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question_answer10)
The pressure at the bottom of a tank containing a liquid does not depend on [Kerala (Engg.) 2002]
A)
Acceleration due to gravity done
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B)
Height of the liquid column done
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C)
Area of the bottom surface done
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D)
Nature of the liquid done
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question_answer11)
When a large bubble rises from the bottom of a lake to the surface. Its radius doubles. If atmospheric pressure is equal to that of column of water height H, then the depth of lake is [AIIMS 1995; AFMC 1997]
A)
H done
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B)
2H done
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C)
7H done
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D)
8H done
clear
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question_answer12)
The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1/10 of the density of mercury, the depth of the lake is [AMU 1995]
A)
5 m done
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B)
10 m done
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C)
15 m done
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D)
20 m done
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question_answer13)
The value of g at a place decreases by 2%. The barometric height of mercury
A)
Increases by 2% done
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B)
Decreases by 2% done
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C)
Remains unchanged done
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D)
Sometimes increases and sometimes decreases done
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question_answer14)
A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up the reading will be
A)
Zero done
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B)
Equal to 76 cm done
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C)
More than 76 cm done
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D)
Less than 76 cm done
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question_answer15)
A closed rectangular tank is completely filled with water and is accelerated horizontally with an acceleration a towards right. Pressure is (i) maximum at, and (ii) minimum at
A)
(i) B (ii) D done
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B)
(i) C (ii) D done
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C)
(i) B (ii) C done
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D)
(i) B (ii) A done
clear
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question_answer16)
A beaker containing a liquid is kept inside a big closed jar. If the air inside the jar is continuously pumped out, the pressure in the liquid near the bottom of the liquid will
A)
Increases done
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B)
Decreases done
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C)
Remain constant done
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D)
First decrease and then increase done
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question_answer17)
A barometer tube reads 76 cm of mercury. If the tube is gradually inclined at an angle of 60o with vertical, keeping the open end immersed in the mercury reservoir, the length of the mercury column will be
A)
152 cm done
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B)
76 cm done
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C)
38 cm done
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D)
\[38\sqrt{3}cm\] done
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question_answer18)
The height to which a cylindrical vessel be filled with a homogeneous liquid, to make the average force with which the liquid presses the side of the vessel equal to the force exerted by the liquid on the bottom of the vessel, is equal to
A)
Half of the radius of the vessel done
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B)
Radius of the vessel done
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C)
One-fourth of the radius of the vessel done
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D)
Three-fourth of the radius of the vessel done
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question_answer19)
A vertical U-tube of uniform inner cross section contains mercury in both sides of its arms. A glycerin (density = 1.3 g/cm3) column of length 10 cm is introduced into one of its arms. Oil of density 0.8 gm/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are in the same horizontal level. Find the length of the oil column, Density of mercury = 13.6 g/cm3
A)
10.4 cm done
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B)
8.2 cm done
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C)
7.2 cm done
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D)
9.6 cm done
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question_answer20)
A triangular lamina of area A and height h is immersed in a liquid of density \[\rho \] in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is
A)
\[\frac{1}{2}A\rho gh\] done
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B)
\[\frac{1}{3}A\rho gh\] done
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C)
\[\frac{1}{6}A\rho gh\] done
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D)
\[\frac{2}{3}A\rho gh\] done
clear
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question_answer21)
If two liquids of same masses but densities \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\] respectively are mixed, then density of mixture is given by
A)
\[\rho =\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\] done
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B)
\[\rho =\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2{{\rho }_{1}}{{\rho }_{2}}}\] done
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C)
\[\rho =\frac{2{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\] done
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D)
\[\rho =\frac{{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\] done
clear
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question_answer22)
If two liquids of same volume but different densities \[{{\rho }_{1}}\] and \[{{\rho }_{2}}\] are mixed, then density of mixture is given by
A)
\[\rho =\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2}\] done
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B)
\[\rho =\frac{{{\rho }_{1}}+{{\rho }_{2}}}{2{{\rho }_{1}}{{\rho }_{2}}}\] done
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C)
\[\rho =\frac{2{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\] done
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D)
\[\rho =\frac{{{\rho }_{1}}{{\rho }_{2}}}{{{\rho }_{1}}+{{\rho }_{2}}}\] done
clear
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question_answer23)
The density \[\rho \] of water of bulk modulus B at a depth y in the ocean is related to the density at surface \[{{\rho }_{0}}\] by the relation
A)
\[\rho ={{\rho }_{0}}\left[ 1-\frac{{{\rho }_{0}}gy}{B} \right]\] done
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B)
\[\rho ={{\rho }_{0}}\left[ 1+\frac{{{\rho }_{0}}gy}{B} \right]\] done
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C)
\[\rho ={{\rho }_{0}}\left[ 1+\frac{Beta }{{{\rho }_{0}}hgy} \right]\] done
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D)
\[\rho ={{\rho }_{0}}\left[ 1-\frac{B}{{{\rho }_{0}}gy} \right]\] done
clear
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question_answer24)
With rise in temperature, density of a given body changes according to one of the following relations
A)
\[\rho ={{\rho }_{0}}[1+\gamma \,d\theta ]\] done
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B)
\[\rho ={{\rho }_{0}}[1-\gamma \,d\theta ]\] done
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C)
\[\rho ={{\rho }_{0}}\gamma d\theta \] done
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D)
\[\rho ={{\rho }_{0}}/\gamma d\theta \] done
clear
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question_answer25)
Three liquids of densities \[d,\,2d\] and \[3d\] are mixed in equal volumes. Then the density of the mixture is
A)
d done
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B)
2d done
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C)
3d done
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D)
5d done
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question_answer26)
Three liquids of densities \[d,\,2d\] and \[3d\] are mixed in equal proportions of weights. The relative density of the mixture is
A)
\[\frac{11d}{7}\] done
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B)
\[\frac{18d}{11}\] done
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C)
\[\frac{13d}{9}\] done
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D)
\[\frac{23d}{18}\] done
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question_answer27)
From the adjacent figure, the correct observation is [KCET 2005]
A)
The pressure on the bottom of tank (a) is greater than at the bottom of (b) done
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B)
The pressure on the bottom of the tank (a) is smaller than at the bottom of (B) done
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C)
The pressure depend on the shape of the container done
clear
D)
The pressure on the bottom of (a) and (b) is the same done
clear
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question_answer28)
A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity \[\omega \]then [AIIMS 2005]
A)
Water levels in both sections A and B go up done
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B)
Water level in Section A goes up and that in B comes down done
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C)
Water level in Section A comes down and that in B it goes up done
clear
D)
Water levels remains same in both sections done
clear
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question_answer29)
Why the dam of water reservoir is thick at the bottom [AFMC 2005]
A)
Quantity of water increases with depth done
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B)
Density of water increases with depth done
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C)
Pressure of water increases with depth done
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D)
Temperature of water increases with depth done
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question_answer30)
Air is blown through a hole on a closed pipe containing liquid. Then the pressure will [AFMC 2005]
A)
Increase on sides done
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B)
Increase downwards done
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C)
Increase in all directions done
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D)
Never increases done
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question_answer31)
Radius of an air bubble at the bottom of the lake is r and it becomes 2r when the air bubbles rises to the top surface of the lake. If P cm of water be the atmospheric pressure, then the depth of the lake is [Kerla PET 2005]
A)
2p done
clear
B)
8p done
clear
C)
4p done
clear
D)
7p done
clear
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