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question_answer1)
A square plate of 0.1 m side moves parallel to a second plate with a velocity of O. 1 m/s, both plates being immersed in water. If the viscous force is 0.002 N and the coefficient of viscosity is 0.01 poise, distance between the plates in m is
A)
0.1 done
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B)
0.05 done
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C)
0.005 done
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D)
0.0005 done
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question_answer2)
A streamlined body falls through air from a height \[h\] on the surface of a liquid. If \[d\] and \[D(D>d)\] represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is
A)
\[\sqrt{\frac{2h}{g}}\] done
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B)
\[\sqrt{\frac{2h}{g}.\frac{D}{d}}\] done
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C)
\[\sqrt{\frac{2h}{g}.\frac{d}{D}}\] done
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D)
\[\sqrt{\frac{2h}{g}}\left( \frac{d}{D-d} \right)\] done
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question_answer3)
A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both the hole are the same. Then R is equal to
A)
\[2\pi L\] done
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B)
\[\frac{L}{\sqrt{2\pi }}\] done
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C)
\[L\] done
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D)
\[\frac{L}{2\pi }\] done
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question_answer4)
The maximum force, in addition to the weight required to pull a wire of 5.0 cm long from the surface of water at temperature \[20{}^\circ C\]is 728 dynes. The surface tension of water is
A)
\[7.28\,N/cm\] done
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B)
\[7.28\,dyne/cm\] done
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C)
\[72.8\,dyne/cm\] done
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D)
\[7.28\times {{10}^{2}}\,dyne/cm\] done
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question_answer5)
A soap bubble of radius R is blown. After heating the solution a second bubble of radius 2R is blown. The work required to blow the second bubble in comparison to that required for the first bubble is
A)
Double done
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B)
Slightly less than double done
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C)
Slightly less than four times done
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D)
Slightly more than four times done
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question_answer6)
A 20-cm long capillary tube is dipped in water. The water rises up to 8 cm. If the entire arrangement is put in a freely falling elevator, the length of the water column in the capillary tube will be
A)
20 cm done
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B)
4 cm done
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C)
10 cm done
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D)
8cm done
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question_answer7)
An object of weight \[W\] and density \[\rho \] is dipped in a fluid of density \[{{\rho }_{1}}\]. Its apparent weight will be
A)
\[W(\rho -{{\rho }_{1}})\] done
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B)
\[W\left( 1-\frac{{{\rho }_{1}}}{\rho } \right)\] done
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C)
\[\frac{(\rho -{{\rho }_{1}})}{W}\] done
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D)
\[W(\rho -{{\rho }_{1}})\] done
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question_answer8)
One end of a long iron chain of linear mass density \[\lambda \] is fixed to a sphere of mass m and specific density 1/3 while the other end is free. The sphere along with the chain is immersed in a deep lake. If specific density of iron is the height h above the bed of the lake at which the sphere will float in equilibrium is (Assume that the part of the chain lying on the bottom of the lake exerts negligible force on the upper part of the chain):
A)
\[\frac{16}{7}\frac{m}{\lambda }\] done
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B)
\[\frac{7m}{3\lambda }\] done
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C)
\[\frac{5m}{2\lambda }\] done
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D)
\[\frac{8m}{3\lambda }\] done
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question_answer9)
Water rises to a height h in a capillary tube of cross- sectional area A. The height to which water will rise in a capillary tube of cross-sectional area 4A will be
A)
\[h\] done
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B)
\[h/2\] done
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C)
\[h/4\] done
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D)
\[h4\] done
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question_answer10)
A marble of mass \[x\] and diameter 2r is gently released in a tall cylinder containing honey. If the marble displaces mass y (< \[x\]) of the liquid, then the terminal velocity is proportional to
A)
\[x+y\] done
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B)
\[x-y\] done
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C)
\[\frac{x+y}{r}\] done
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D)
\[\frac{x-y}{r}\] done
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question_answer11)
Two holes are made in the side of the tank such that the jets of water flowing out of them meet at the same point on the ground. If one hole is at a height of 3 cm above the bottom, then the distance of the other hole from the top surface of water is
A)
\[\frac{3}{2}cm\] done
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B)
\[\sqrt{6}cm\] done
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C)
\[\sqrt{3}cm\] done
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D)
\[3cm\] done
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question_answer12)
An iceberg is floating partially immersed in sea water. The density of sea water is \[1.03gc{{m}^{-3}}\] and that of ice is\[0.92gc{{m}^{-3}}\]. The approximate percentage of total volume of iceberg above the level of sea water is
A)
8 done
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B)
11 done
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C)
34 done
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D)
89 done
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question_answer13)
A sealed tank containing \[a\] liquid of density p moves with horizontal acceleration a as shown in the figure. The difference in pressur between two points \[A\] and \[B\] will be
A)
\[h\rho g\] done
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B)
\[l\rho g\] done
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C)
\[h\rho g-l\rho a\] done
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D)
\[h\rho g+l\rho a\] done
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question_answer14)
A uniform rod of density p is placed in a wide tank containing a liquid of density \[{{\rho }_{0}}(\rho >\rho )\].The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle \[\theta \] with the horizontal
A)
\[\sin \theta =\frac{1}{2}\sqrt{{{\rho }_{0}}/\rho }\] done
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B)
\[\sin \theta =\frac{1}{2}.\frac{{{\rho }_{0}}}{\rho }\] done
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C)
\[\sin \theta ={{\sqrt{\rho /\rho }}_{0}}\] done
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D)
\[\sin \theta ={{\rho }_{0}}/\rho \] done
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question_answer15)
A \[U\]-tube containing a liquid is accelerated horizontally with a constant acceleration a. If the separation between the two vertical limbs is \[l\], then the difference in the heights of the liquid in the two arms is
A)
Zero done
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B)
\[l\] done
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C)
\[\frac{la}{g}\] done
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D)
\[\frac{la}{a}\] done
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question_answer16)
The thickness of the ice layer on the surface of lake is 20 m. A hole is made in the ice layer. What is the minimum length of the rope required to take a bucket full of water out? (Take density of ice =\[0.9\times {{10}^{3}}kg/{{m}^{3}}\])
A)
2m done
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B)
5m done
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C)
9m done
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D)
18m done
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question_answer17)
A metallic block weighs 15 N in air. It weighs 12 N when immersed in water and 13 N when immersed in another liquid. What is the specific gravity of the liquid?
A)
1/3 done
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B)
2/3 done
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C)
12/13 done
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D)
13/15 done
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question_answer18)
A hollow cylinder of mass m made heavy at its bottom is floating vertically in water. It is tilted from its vertical position through an angle \[\theta \] and is left. The respecting force acting on it is
A)
\[mg\,\cos \theta \] done
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B)
\[\frac{mg\,}{\cos \theta }\] done
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C)
\[mg\left[ \frac{1}{\cos \theta }-1 \right]\] done
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D)
\[mg\left[ \frac{1}{\cos \theta }+1 \right]\] done
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question_answer19)
The flow of blood in a large artery of a anesthetized dog is diverted through a venturimeter. The wider part of the meter has cross-sectional area equal to that of the artery, i.e.,\[10m{{m}^{2}}\]. The narrower part has an area\[5m{{m}^{2}}\]. The pressure drop in the artery is 22 Pa. Density of the blood is\[1.06\times {{10}^{3}}kg{{m}^{-3}}\]. The speed of the blood in the artery is
A)
\[0.12\,m\,{{s}^{-1}}\] done
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B)
\[0.62\,m\,{{s}^{-1}}\] done
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C)
\[0.24\,m\,{{s}^{-1}}\] done
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D)
\[0.42\,m\,{{s}^{-1}}\] done
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question_answer20)
A tank has a hole at its bottom. The time needed to empty the tank from level \[{{h}_{1}}\] to \[{{h}_{2}}\] will be proportional to
A)
\[{{h}_{1}}-{{h}_{2}}\] done
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B)
\[{{h}_{1}}+{{h}_{2}}\] done
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C)
\[\sqrt{{{h}_{1}}}-\sqrt{{{h}_{2}}}\] done
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D)
\[\sqrt{{{h}_{1}}}+\sqrt{{{h}_{2}}}\] done
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question_answer21)
A concrete sphere of radius \[R\] has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3 for this sphere to float with its entire volume submerged under water. What is the ratio of mass of concrete to mass of sawdust?
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question_answer22)
A wooden rod of a uniform cross section and of length 120 cm is hinged at the bottom of the tank which is filled with water to a height of 40 cm. In the equilibrium position, the rod makes an angle of \[60{}^\circ \] with the vertical. The centre of buoyancy is located on the rod at a distance (from the hinge) of 4N cm. Find the value of N.
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question_answer23)
A tank is filled with water of density \[{{10}^{3}}kg/{{m}^{3}}\] and oil of density\[9\times {{10}^{3}}kg/{{m}^{3}}\]. The height of water layer is 1 m and that of the oil layer is 4 m. The velocity of efflux from an opening in the bottom of the tank is\[\sqrt{n}m/s\]. Find the value of n.
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question_answer24)
Water from a tap emerges vertically downwards with an initial velocity\[{{V}_{0}}\]. Assume pressure is constant throughout the stream of water and the flow is steady. The distance from the tap at which cross-sectional area of stream is half of the cross-sectional area of stream at the tap is\[\frac{K{{V}_{0}}^{2}}{2g}\]. Find the value of K.
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question_answer25)
Figure shows two holes in a wide tanK containing a liquid common. The water streams coming out of these holes strike the ground at the same point. What is the height of liquid column in the tank?
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