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MCQOPTIONS
This section includes 12583 Mcqs, each offering curated multiple-choice questions to sharpen your Joint Entrance Exam - Main (JEE Main) knowledge and support exam preparation. Choose a topic below to get started.
| 2101. |
An air bubble of radius 0.1 cm is in a liquid having surface tension 0.06 N/m and density\[{{10}^{3}}kg/{{m}^{2}}\]. The pressure inside the bubble is \[100N{{m}^{-2}}\] greater than the atmospheric pressure. At what depth is the bubble below the surface of the liquid? (\[g=9.8m{{s}^{-2}}\]) |
| A. | 1.1m |
| B. | 0.15m |
| C. | 0.20m |
| D. | 0.25m |
| Answer» B. 0.15m | |
| 2102. |
A vertical capillary tube with inside diameter 0.5mm is submerged into water so that the length of its part protruding over the surface of water is equal to 2.5mm. Find the radius of curvature of the meniscus. |
| A. | 0.3mm |
| B. | 0.6mm |
| C. | 0.9mm |
| D. | 1.2mm |
| Answer» C. 0.9mm | |
| 2103. |
A water film is formed between two straight parallel wires of 10 cm length 0.5 cm apart. If the distance between wires is increased by 1 mm. What will be the work done? (surface tension of water \[=72dyne/cm\] ) |
| A. | 36 erg |
| B. | 288 erg |
| C. | 144 erg |
| D. | 72 erg |
| Answer» D. 72 erg | |
| 2104. |
The lower end of a capillary tube of radius 2.00mm is dipped 10.00cm below the surface of water in a beaker. Calculate the pressure within a bubble blown at its end in water, in excess of atmospheric pressure. [Surface tension of water\[72\times {{10}^{-3}}N/m\]] |
| A. | \[718N{{m}^{-2}}\] |
| B. | \[912N{{m}^{-2}}\] |
| C. | \[1160N{{m}^{-2}}\] |
| D. | \[1052N{{m}^{-2}}\] |
| Answer» E. | |
| 2105. |
Water of density p in a clean aquarium forms a meniscus, as illustrated in the figure. Calculate the difference in height h between the centre and the edge of the meniscus. The surface tension of water is\[\gamma \]. |
| A. | \[\sqrt{\frac{2\gamma }{\rho g}}\] |
| B. | \[\sqrt{\frac{\gamma }{\rho g}}\] |
| C. | \[\frac{1}{2}\sqrt{\frac{\gamma }{\rho g}}\] |
| D. | \[2\sqrt{\frac{\gamma }{\rho g}}\] |
| Answer» B. \[\sqrt{\frac{\gamma }{\rho g}}\] | |
| 2106. |
Two spherical bubbles are in contact with each other internally as shown. The radius of curvature of the common surface is R, then |
| A. | \[R>{{R}_{1}}\] |
| B. | \[{{R}_{1}}>R>{{R}_{2}}\] |
| C. | \[R<{{R}_{2}}\] |
| D. | \[R={{R}_{1}}\] |
| Answer» D. \[R={{R}_{1}}\] | |
| 2107. |
A soap bubble of radius R is surrounded by another soap bubble of radius 2R, as shown. Take surface tension\[=S\]. Then the pressure inside the smaller soap bubble, in excess of the atmospheric pressure, will be |
| A. | 4S/R |
| B. | 3S/R |
| C. | 6S/R |
| D. | None of these |
| Answer» D. None of these | |
| 2108. |
A body B is capable of remaining stationary inside a liquid at the position shown in Fig. (a). If the whole system is gently placed on smooth inclined plane (Fig (b)) and is allowed to slide down, then (\[0 |
| A. | Move up (relative to liquid) |
| B. | Move down (relative to liquid) |
| C. | Remain stationary (relative to liquid) |
| D. | Move up for some inclination \[\theta \] and will move down for another inclination \[\theta \] |
| Answer» E. | |
| 2109. |
Drops of liquid of density p are floating half immersed in a liquid of density a. If the surface tension of liquid is T, the radius of the drop will be |
| A. | \[\sqrt{\frac{3T}{g(3\rho -\sigma )}}\] |
| B. | \[\sqrt{\frac{6T}{g(2\rho -\sigma )}}\] |
| C. | \[\sqrt{\frac{3T}{g(2\rho -\sigma )}}\] |
| D. | \[\sqrt{\frac{3T}{g(4\rho -3\sigma )}}\] |
| Answer» D. \[\sqrt{\frac{3T}{g(4\rho -3\sigma )}}\] | |
| 2110. |
Two soap bubbles of radii a and b combine to form a single bubble of radius c. If P is the external pressure, then the surface tension of the soap solution is |
| A. | \[\frac{P({{c}^{3}}+{{a}^{3}}+{{b}^{3}})}{4({{a}^{2}}+{{b}^{2}}-{{c}^{2}})}\] |
| B. | \[\frac{P({{c}^{3}}-{{a}^{3}}-{{b}^{3}})}{4({{a}^{2}}+{{b}^{2}}-{{c}^{2}})}\] |
| C. | \[P{{c}^{3}}-4{{a}^{2}}-4{{b}^{2}}\] |
| D. | \[P{{c}^{3}}-2{{a}^{2}}-3{{b}^{2}}\] |
| Answer» C. \[P{{c}^{3}}-4{{a}^{2}}-4{{b}^{2}}\] | |
| 2111. |
A soap film of surface tension \[3\times {{10}^{-2}}\] formed in a rectangular frame cam support a straw as shown in Fig. If \[g=10m{{s}^{-12}}\], the mass of the straw is |
| A. | 0.006g |
| B. | 0.06 g |
| C. | 0.6 g |
| D. | 6g |
| Answer» D. 6g | |
| 2112. |
The average mass of rain drops is\[3.0\times {{10}^{-5}}kg\] and their average terminal velocity is 9 m/s. Calculate the energy transferred by rain to each square metre of the surface at a place which receives 100 cm of rain in a year. |
| A. | \[3.5\times {{10}^{5}}J\] |
| B. | \[4.05\times {{10}^{4}}J\] |
| C. | \[3.0\times {{10}^{5}}J\] |
| D. | \[9.0\times {{10}^{4}}J\] |
| Answer» C. \[3.0\times {{10}^{5}}J\] | |
| 2113. |
A rain drop of radius 0.3mm falling vertically downwards in air has a terminal velocity of 1 m/ s. The viscosity of air is\[18\times {{10}^{-5}}poise\]. The viscous force on the drop is |
| A. | \[101.73\times {{10}^{-4}}dyne\] |
| B. | \[101.73\times {{10}^{-5}}dyne\] |
| C. | \[16.95\times {{10}^{-5}}dyne\] |
| D. | \[16.95\times {{10}^{-4}}dyne\] |
| Answer» B. \[101.73\times {{10}^{-5}}dyne\] | |
| 2114. |
A small spherical ball falling through a viscous medium of negligible density has terminal velocity v. Another ball of the same mass but of radius twice that of the earlier falling through the same viscous medium will have terminal velocity |
| A. | v |
| B. | v/4 |
| C. | v/2 |
| D. | 2v |
| Answer» D. 2v | |
| 2115. |
A spherical ball of iron of radius 2 mm is falling through a column of glycerine. If densities of glycerine and iron are respectively \[1.3\times {{10}^{3}}kg/{{m}^{3}}\]and\[8\times {{10}^{3}}kg/{{m}^{3}}\].\[\eta \]for glycerine \[=0.83N{{m}^{-2}}\sec \], then the terminal velocity is |
| A. | 0.7 m/s |
| B. | 0.07 m/s |
| C. | 0.007 m/s |
| D. | 0.0007 m/s |
| Answer» C. 0.007 m/s | |
| 2116. |
What is the velocity v of a metallic ball of radius r falling in a tank of liquid at the instant when its acceleration is one -half that of a freely falling body? (The densities of metal and of liquid are \[\rho \] and \[\sigma \] respectively, and the viscosity of the liquid is \[\eta \]). |
| A. | \[\frac{{{r}^{2}}g}{9\eta }(\rho -2\sigma )\] |
| B. | \[\frac{{{r}^{2}}g}{9\eta }(2\rho -\sigma )\] |
| C. | \[\frac{{{r}^{2}}g}{9\eta }(\rho -\sigma )\] |
| D. | \[\frac{2{{r}^{2}}g}{9\eta }(\rho -\sigma )\] |
| Answer» D. \[\frac{2{{r}^{2}}g}{9\eta }(\rho -\sigma )\] | |
| 2117. |
The pressure at the bottom of a tank containing a liquid does not depend on |
| A. | Acceleration due to gravity |
| B. | Height of the liquid column |
| C. | Area of the bottom surface |
| D. | Nature of the liquid |
| Answer» D. Nature of the liquid | |
| 2118. |
If a ball of steel (density\[\rho =7.8g\,c{{m}^{-3}}\]) attains a terminal velocity of \[10cm{{s}^{-1}}\] when falling in a tank of water (coefficient of viscosity \[{{\eta }_{water}}=8.5\times {{10}^{-4}}Pa-s\]) then its terminal velocity in glycerin(\[\rho =12gc{{m}^{-3}},\,\eta =13.2Pa-s\]) would be nearly |
| A. | \[1.6\times {{10}^{-5}}cm{{s}^{-1}}\] |
| B. | \[6.25\times {{10}^{-4}}cm{{s}^{-1}}\] |
| C. | \[6.45\times {{10}^{-4}}cm{{s}^{-1}}\] |
| D. | \[1.5\times {{10}^{-5}}cm{{s}^{-1}}\] |
| Answer» C. \[6.45\times {{10}^{-4}}cm{{s}^{-1}}\] | |
| 2119. |
An air bubble of radius 1 cm rises with terminal velocity 0.21 cm/s in liquid column. If the density of liquid is\[1.47\times {{10}^{3}}kg/{{m}^{3}}\]. Then the value of coefficient of viscosity of liquid ignoring the density of air, will be |
| A. | \[1.71\times {{10}^{4}}poise\] |
| B. | \[1.82\times {{10}^{4}}poise\] |
| C. | \[1.78\times {{10}^{4}}poise\] |
| D. | \[1.52\times {{10}^{4}}poise\] |
| Answer» E. | |
| 2120. |
After terminal velocity is reached, the acceleration of a body falling through a fluid is |
| A. | Equal to g |
| B. | zero |
| C. | Less than g |
| D. | greater than g |
| Answer» C. Less than g | |
| 2121. |
Water is flowing on a horizontal fixed surface, such that its flow velocity varies with y (vertical direction) as\[v=k\left( \frac{2{{y}^{2}}}{{{a}^{2}}}-\frac{{{y}^{3}}}{{{a}^{3}}} \right)\]. If coefficient of viscosity for water is\[\eta \], what will be shear stress between layers of water at\[y=a.\] |
| A. | \[\frac{\eta k}{a}\] |
| B. | \[\frac{\eta }{ka}\] |
| C. | \[\frac{\eta a}{k}\] |
| D. | None of these |
| Answer» B. \[\frac{\eta }{ka}\] | |
| 2122. |
A container filled with viscous liquid is moving vertically downwards with constant speed\[3{{v}_{0}}\]. At the instant shown, a sphere of radius r is moving vertically downwards (in liquid) has speed\[{{v}_{0}}\]. The coefficient of viscosity is\[\eta \]. There is no relative motion between the liquid and the container. Then at the shown instant, the magnitude of viscous force acting on sphere is |
| A. | \[6\pi \eta r{{v}_{0}}\] |
| B. | \[12\pi \eta r{{v}_{0}}\] |
| C. | \[18\pi \eta r{{v}_{0}}\] |
| D. | \[24\pi \eta r{{v}_{0}}\] |
| Answer» C. \[18\pi \eta r{{v}_{0}}\] | |
| 2123. |
If it takes 5 minutes to fill a 15 litre bucket from a water tap of diameter\[\frac{2}{\sqrt{\pi }}cm\] then the Reynold's number for the flow is close to: (density of water\[={{10}^{3}}\,kg/{{m}^{3}}\] and viscosity of water\[={{10}^{-3}}Pa.s\]) |
| A. | 1100 |
| B. | 11000 |
| C. | 550 |
| D. | 5500 |
| Answer» E. | |
| 2124. |
A tank with a small hole at the bottom has been filled with water and kerosene (specific gravity 0.8). The height of water is 3m and that of kerosene 2m. When the hole is opened the velocity of fluid coming out from it is nearly: (take \[g=10m{{s}^{-2}}\]and density of water\[={{10}^{3}}kg{{m}^{-3}}\]) |
| A. | \[10.7\,m{{s}^{-1}}\] |
| B. | \[9.8\,m{{s}^{-1}}\] |
| C. | \[8.5\,m{{s}^{-1}}\] |
| D. | \[7.6\,m{{s}^{-1}}\] |
| Answer» C. \[8.5\,m{{s}^{-1}}\] | |
| 2125. |
There are two identical small holes P and Q of area of cross-section a on the opposite sides of a tank containing a liquid of density p. The difference in height between the holes is h. Tank is resting on a smooth horizontal surface. Horizontal force which will has to be applied on the tank to keep it in equilibrium is |
| A. | \[gh\rho a\] |
| B. | \[\frac{2gh}{\rho a}\] |
| C. | \[2\rho agh\] |
| D. | \[\frac{\rho gh}{a}\] |
| Answer» D. \[\frac{\rho gh}{a}\] | |
| 2126. |
Water is flowing through a horizontal tube having cross-sectional areas of its two ends being A and A' such that the ratio A/A' is 5. If the pressure difference of water between the two ends is\[3\times {{10}^{5}}\text{ }N{{m}^{-2}}\], the velocity of water with which it enters the tube will be (neglect gravity effects) |
| A. | \[5m{{s}^{-1}}\] |
| B. | \[10m{{s}^{-1}}\] |
| C. | \[25\,m{{s}^{-1}}\] |
| D. | \[50\sqrt{10}\,m{{s}^{-1}}\] |
| Answer» B. \[10m{{s}^{-1}}\] | |
| 2127. |
. Water is filled in a cylindrical container to a height of 3m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (\[g=10m/{{s}^{2}}\]) |
| A. | \[50{{m}^{2}}/{{s}^{2}}\] |
| B. | \[50.5{{m}^{2}}/{{s}^{2}}\] |
| C. | \[51{{m}^{2}}/{{s}^{2}}\] |
| D. | \[52{{m}^{2}}/{{s}^{2}}\] |
| Answer» B. \[50.5{{m}^{2}}/{{s}^{2}}\] | |
| 2128. |
A square box of water has a small hole located in one of the bottom comer. When the box is fall and sitting on a level surface, complete opening of the whole results in a flow of water with a speed\[{{v}_{0}}\], as shown in figure. When the box is half empty, it is tilted by \[45{}^\circ \] so that the hole is at the lowest point. Now the water will flow out with a speed of |
| A. | \[{{v}_{0}}\] |
| B. | \[{{v}_{0}}/2\] |
| C. | \[{{v}_{0}}/\sqrt{2}\] |
| D. | \[{{v}_{0}}/\sqrt[4]{2}\] |
| Answer» E. | |
| 2129. |
.. Figure shows a liquid flowing through a tube at the rate of\[0.1{{m}^{3}}/s\]. The tube is branched into two semicircular tubes of cross - sectional area A/3 and 2A/3, The velocity of liquid at Q is (the cross-section of the main tube is\[A={{10}^{-2}}{{m}^{2}}\] and \[{{V}_{p}}=20m/s\] |
| A. | 5 m/s |
| B. | 30m/s |
| C. | 35 m/s |
| D. | None of these |
| Answer» B. 30m/s | |
| 2130. |
A large tank filled with water to a height 'A' is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to\[\frac{h}{2}\]and \[\frac{h}{2}\]to zero is |
| A. | \[\sqrt{2}\] |
| B. | \[\frac{1}{\sqrt{2}}\] |
| C. | \[\sqrt{2}-1\] |
| D. | \[\frac{1}{\sqrt{2}-1}\] |
| Answer» D. \[\frac{1}{\sqrt{2}-1}\] | |
| 2131. |
In the figure shown, a light container is kept on a horizontal rough surface of coefficient of friction \[\mu =\frac{Sh}{V}\]. A very small hole of area S is made at depth h. Water of volume V is filled in the container. The friction is not sufficient to keep the container at rest. The acceleration of the container initially is |
| A. | \[\frac{V}{Sh}g\] |
| B. | \[g\] |
| C. | Zero |
| D. | \[\frac{Sh}{V}g\] |
| Answer» E. | |
| 2132. |
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. Ratio of mass of concrete to mass of sawdust will be |
| A. | 8 |
| B. | 4 |
| C. | 3 |
| D. | zero |
| Answer» C. 3 | |
| 2133. |
For the arrangement shown in the figure, find the time interval in seconds after which the water jet ceases to cross the wall. Area of the cross section of the tank\[A=\sqrt{5}{{m}^{2}}\] and area of the orifice \[A=4c{{m}^{2}}\]. [Assume that the container remaining fixed] |
| A. | \[1000s\] |
| B. | \[2000s\] |
| C. | \[1500s\] |
| D. | \[500s\] |
| Answer» B. \[2000s\] | |
| 2134. |
Air of density \[1.2kg{{m}^{-3}}\] is blowing across the horizontal wings of an aero plane in such a way that its speeds above and below the wings are \[150m{{s}^{-1}}\] and\[100m{{s}^{-1}}\], respectively. The pressure difference between the upper and lower sides of the wings, is |
| A. | \[60N{{m}^{-2}}\] |
| B. | \[180\,N{{m}^{-2}}\] |
| C. | \[7500N{{m}^{-2}}\] |
| D. | \[12500N{{m}^{-2}}\] |
| Answer» D. \[12500N{{m}^{-2}}\] | |
| 2135. |
Oil is filled in a cylindrical container upto height 4m. A small hole of area 'p' is punched in the wall of the container at a height 1.52m from the bottom. The cross sectional area of the container is Q. If\[\frac{p}{q}=0.1\]then v is (where v is the velocity of oil coming out of the hole) |
| A. | \[5\sqrt{2}\] |
| B. | \[6\sqrt{3}\] |
| C. | \[8\sqrt{2}\] |
| D. | \[7\sqrt{5}\] |
| Answer» B. \[6\sqrt{3}\] | |
| 2136. |
A fluid is in streamline flow across a horizontal pipe of variable area of cross section. For this which of the following statements is correct? |
| A. | The velocity is minimum at the narrowest part of the pipe and the pressure is minimum at the widest part of the pipe |
| B. | The velocity is maximum at the narrowest part of the pipe and pressure is maximum at the widest part of the pipe |
| C. | Velocity and pressure both are maximum at the narrowest part of the pipe |
| D. | Velocity and pressure both are maximum at the widest part of the pipe |
| Answer» C. Velocity and pressure both are maximum at the narrowest part of the pipe | |
| 2137. |
The cylindrical tube of a spray pump has radius, R, one end of which has n fine holes, each of radius r. If the speed of the liquid in the tube is V, the speed of the ejection of the liquid through the holes is : |
| A. | \[\frac{V{{R}^{2}}}{n{{r}^{2}}}\] |
| B. | \[\frac{V{{R}^{2}}}{{{n}^{3}}{{r}^{2}}}\] |
| C. | \[\frac{{{V}^{2}}R}{nr}\] |
| D. | \[\frac{V{{R}^{2}}}{{{n}^{2}}{{r}^{2}}}\] |
| Answer» B. \[\frac{V{{R}^{2}}}{{{n}^{3}}{{r}^{2}}}\] | |
| 2138. |
A cylindrical vessel contains a liquid of density\[\rho \] filled upto a height h. The uper surface of the liquid is in contact with a pistion of mass m and area of cross-section A. A small hole is drilled at the bottom of the vessel. (Neglect the viscous effects) The speed with which the liquid comes out of the hoe is: |
| A. | \[\sqrt{2}gh\] |
| B. | \[\sqrt{2}g\left( h+\frac{m}{\rho A} \right)\] |
| C. | \[\sqrt{g\left( h+\frac{m}{\rho A} \right)}\] |
| D. | \[\sqrt{g\left( h+\frac{2m}{\rho A} \right)}\] |
| Answer» C. \[\sqrt{g\left( h+\frac{m}{\rho A} \right)}\] | |
| 2139. |
In the figure shown the velocity and pressure of the liquid at the cross section (2) are given by (If \[{{P}_{0}}\] is the atmospheric pressure). |
| A. | \[\sqrt{2hg,\,}{{P}_{0}}+\frac{\rho hg}{2}\] |
| B. | \[\sqrt{hg,\,}{{P}_{0}}+\frac{\rho hg}{2}\] |
| C. | \[\sqrt{\frac{hg}{2},}{{P}_{0}}+\frac{3\rho hg}{4}\] |
| D. | \[\frac{\sqrt{hg,}}{2}{{P}_{0}}-\frac{\rho hg}{4}\] |
| Answer» D. \[\frac{\sqrt{hg,}}{2}{{P}_{0}}-\frac{\rho hg}{4}\] | |
| 2140. |
The force acting on a window of area\[50cm\times 50cm\] of a submarine at a depth of 2000 m ill an ocean, interior of which is maintained at sea level atmospheric pressure is (Density of sea water\[={{10}^{3}}kg{{m}^{-3}},g=10m{{s}^{-2}}\] ) |
| A. | \[{{10}^{6}}N\] |
| B. | \[5\times {{10}^{5}}N\] |
| C. | \[25\times {{10}^{6}}N\] |
| D. | \[5\times {{10}^{6}}N\] |
| Answer» E. | |
| 2141. |
A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is\[250{{m}^{2}}\]. Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be(\[{{\rho }_{air}}=1.2kg/{{m}^{3}}\]) |
| A. | \[4.8\times {{10}^{5}}N,upwards\] |
| B. | \[2.4\times {{10}^{5}}N,upwards\] |
| C. | \[2.4\times {{10}^{5}}N,downwards\] |
| D. | \[4.8\times {{10}^{5}}N,downwards\] |
| Answer» C. \[2.4\times {{10}^{5}}N,downwards\] | |
| 2142. |
In Bernoulli's theorem which of the following is conserved? |
| A. | Mass |
| B. | Linear momentum |
| C. | Energy |
| D. | Angular momentum |
| Answer» D. Angular momentum | |
| 2143. |
Air flows horizontally with a speed\[v=106km/hr\] A house has plane roof of area\[A=20{{m}^{2}}\]. The magnitude of aerodynamic lift of the roof is |
| A. | \[1.127\times {{10}^{4}}N\] |
| B. | \[5.0\times {{10}^{4}}N\] |
| C. | \[1.127\times {{10}^{5}}N\] |
| D. | \[3.127\times {{10}^{4}}N\] |
| Answer» B. \[5.0\times {{10}^{4}}N\] | |
| 2144. |
In the arrangement as shown,\[{{m}_{B}}=3m\], density of liquid is r and density of block B is v. The system is released from rest so that block B moves up when in liquid and moves down when out of liquid with the same acceleration. Find the mass of block A. |
| A. | \[\frac{7}{4}m\] |
| B. | \[2m\] |
| C. | \[\frac{9}{2}m\] |
| D. | \[\frac{9}{4}m\] |
| Answer» E. | |
| 2145. |
Streamline flow is more likely for liquids with |
| A. | High density and low viscosity |
| B. | Low density and high viscosity |
| C. | High density and high viscosity |
| D. | Low density and low viscosity |
| Answer» C. High density and high viscosity | |
| 2146. |
A balloon of volume F, contains a gas whose density is to that of the air at the earth's surface as 1:15. If the envelope of the balloon be of weight w but of negligible volume, find the acceleration with which it will begin to ascend. |
| A. | \[\left( \frac{7Vg\sigma -w}{Vg\sigma +w} \right)\times g\] |
| B. | \[\left( \frac{2Vg\sigma -w}{Vg\sigma +w} \right)\times g\] |
| C. | \[\left( \frac{14Vg\sigma -w}{Vg\sigma +w} \right)\times g\] |
| D. | \[\left( \frac{14Vg\sigma +w}{Vg\sigma -w} \right)\times g\] |
| Answer» D. \[\left( \frac{14Vg\sigma +w}{Vg\sigma -w} \right)\times g\] | |
| 2147. |
A hollow wooden cylinder of height A, inner radius R and outer radius 2R is placed in a cylindrical container of radius 3R. When water is poured into the container, the minimum height H of the container for which cylinder can float inside freely is |
| A. | \[\frac{h{{p}_{water}}}{{{\rho }_{water}}+{{\rho }_{wood}}}\] |
| B. | \[\frac{h{{\rho }_{wood}}}{{{\rho }_{water}}}\] |
| C. | h |
| D. | \[\frac{{{h}^{2}}}{R}\] |
| Answer» C. h | |
| 2148. |
The compressibility of water is \[4\times {{10}^{-5}}\]per unit atmospheric pressure. The decrease in volume of \[100c{{m}^{2}}\] water under a pressure of 100 atmosphere will be |
| A. | \[0.4c{{m}^{3}}\] |
| B. | \[4\times {{10}^{-5}}c{{m}^{3}}\] |
| C. | \[0.025c{{m}^{3}}\] |
| D. | \[0.004c{{m}^{3}}\] |
| Answer» B. \[4\times {{10}^{-5}}c{{m}^{3}}\] | |
| 2149. |
In a hydraulic lift, compressed air exerts a force \[{{F}_{1}}\] on a small piston having a radius of 5 cm. This pressure is transmitted to a second piston of radius 15 cm. If the mass of the load to be lifted is 1350 kg, find the value of\[{{F}_{1}}\]? The pressure necessary to accomplish this task is |
| A. | \[1.4\times {{10}^{5}}Pa\] |
| B. | \[12\times {{10}^{5}}Pa\] |
| C. | \[1.9\times {{10}^{5}}Pa\] |
| D. | \[1.9Pa\] |
| Answer» D. \[1.9Pa\] | |
| 2150. |
Two wooden blocks A and B float in a liquid of density \[{{\rho }_{L}}\]as shown. The distance L and H are shown. After some time, block B falls into the liquid, so that L decreases and H increases. If density of block B is\[{{\rho }_{B}}\], find the correct option. |
| A. | \[{{\rho }_{_{L}}}={{\rho }_{B}}\] |
| B. | \[{{\rho }_{_{L}}}>{{\rho }_{B}}\] |
| C. | \[{{\rho }_{_{L}}}<{{\rho }_{B}}\] |
| D. | unpredictable |
| Answer» C. \[{{\rho }_{_{L}}}<{{\rho }_{B}}\] | |