Fluid Mechanics · Physics · MHT CET

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MHT CET 2023 14th May Evening Shift
Two spherical soap bubbles of radii '$$a$$' and '$$b$$' in vacuum coalesce under isothermal conditions. The resulting bubble has a radius equal to...
MHT CET 2023 14th May Evening Shift
1000 small water drops of equal size combine to form a big drop. The ratio of final surface energy to the total initial surface energy is
MHT CET 2023 14th May Evening Shift
It is easier to spray water to which soap is added because addition of soap to water
MHT CET 2023 14th May Morning Shift
By adding soluble impurity in a liquid, angle of contact
MHT CET 2023 14th May Morning Shift
The potential energy of a molecule on the surface of a liquid compared to the molecules inside the liquid is
MHT CET 2023 14th May Morning Shift
Water rises in a capillary tube of radius '$$r$$' upto a height '$$h$$'. The mass of water in a capillary is '$$m$$'. The mass of water that will rise...
MHT CET 2023 13th May Evening Shift
There is hole of area $$A$$ at the bottom of a cylindrical vessel. Water is filled to a height $$h$$ and water flows out in $$t$$ second. If water is ...
MHT CET 2023 13th May Evening Shift
If work done in blowing a soap bubble of volume $$V$$ is $$W$$, then the work done in blowing the bubble of volume $$2 \mathrm{~V}$$ from same soap so...
MHT CET 2023 13th May Morning Shift
A large number of water droplets each of radius '$$t$$' combine to form a large drop of Radius '$$R$$'. If the surface tension of water is '$$T$$' & m...
MHT CET 2023 13th May Morning Shift
Twenty seven droplets of water each of radius $$0.1 \mathrm{~mm}$$ merge to form a single drop then the energy released is
MHT CET 2023 13th May Morning Shift
Venturimeter is used to
MHT CET 2023 13th May Morning Shift
The fundamental frequency of a sonometer wir carrying a block of mass '$$M$$' and density '$$\rho$$' is '$$n$$' Hz. When the block is completely immer...
MHT CET 2023 12th May Evening Shift
Eight small drops of mercury each of radius '$$r$$', coalesce to form a large single drop. The ratio of total surface energy before and after the chan...
MHT CET 2023 12th May Evening Shift
A spherical metal ball of radius '$$r$$' falls through viscous liquid with velocity '$$\mathrm{V}$$'. Another metal ball of same material but of radiu...
MHT CET 2023 12th May Evening Shift
Select the WRONG statement from the following. In a streamline flow
MHT CET 2023 12th May Morning Shift
Consider a soap film on a rectangular frame of wire of area $$3 \times 3 \mathrm{~cm}^2$$. If the area of the soap film is increased to $$5 \times 5 \... MHT CET 2023 12th May Morning Shift A spherical drop of liquid splits into 1000 identical spherical drops. If '$$\mathrm{E}_1$$' is the surface energy of the original drop and '$$\mathrm...
MHT CET 2023 12th May Morning Shift
The excess pressure inside a first spherical drop of water is three times that of second spherical drop of water. Then the ratio of mass of first sphe...
MHT CET 2023 11th May Evening Shift
A liquid drop of radius '$$R$$' is broken into '$$n$$' identical small droplets. The work done is [T = surface tension of the liquid]
MHT CET 2023 11th May Evening Shift
A fluid of density '$$\rho$$' is flowing through a uniform tube of diameter '$$d$$'. The coefficient of viscosity of the fluid is '$$\eta$$', then cri...
MHT CET 2023 11th May Evening Shift
What should be the diameter of a soap bubble, in order that the excess pressure inside it is $$25.6 \mathrm{~Nm}^{-2}$$ ? [surface tension of soap sol...
MHT CET 2023 11th May Morning Shift
Two capillary tubes of the same diameter are kept vertically in two different liquids whose densities are in the ratio $$4: 3$$. The rise of liquid in...
MHT CET 2023 11th May Morning Shift
A spherical liquid drop of radius $$\mathrm{R}$$ is divided into 8 equal droplets. If surface tension is $$\mathrm{S}$$, then the work done in this pr...
MHT CET 2023 11th May Morning Shift
A body of density '$$\rho$$' is dropped from rest at a height '$$h$$' into a lake of density '$$\sigma' (\sigma>\rho)$$. The maximum depth to which th...
MHT CET 2023 10th May Evening Shift
'$$n$$' number of liquid drops each of radius '$$r$$' coalesce to form a single drop of radius '$$R$$'. The energy released in the process is converte...
MHT CET 2023 10th May Evening Shift
At critical temperature, the surface tension of liquid is
MHT CET 2023 10th May Evening Shift
A metal sphere of mass '$$m$$' and density '$$\sigma_1$$' falls with terminal velocity through a container containing liquid. The density of liquid is...
MHT CET 2023 10th May Morning Shift
Water flows through a horizontal pipe at a speed '$$\mathrm{V}$$'. Internal diameter of the pipe is '$$\mathrm{d}$$'. If the water is coming out at a ...
MHT CET 2023 10th May Morning Shift
Three liquids have same surface tension and densities $$\rho_1, \rho_2$$, and $$\rho_3\left(\rho_1>\rho_2>\rho_3\right)$$. In three identical capillar...
MHT CET 2023 10th May Morning Shift
The height of liquid column raised in a capillary tube of certain radius when dipped in liquid '$$A$$' vertically is $$5 \mathrm{~cm}$$. If the tube i...
MHT CET 2023 9th May Evening Shift
A film of soap solution is formed between two straight parallel wires of length $$10 \mathrm{~cm}$$ each separated by $$0.5 \mathrm{~cm}$$. If their s...
MHT CET 2023 9th May Evening Shift
A soap bubble of radius '$$R$$' is blown. After heating a solution, a second bubble of radius '$$2 \mathrm{R}$$' is blown. The work required to blow t...
MHT CET 2023 9th May Evening Shift
A fluid of density '$$\rho$$' and viscosity '$$\eta$$' is flowing through a pipe of diameter '$$d$$', with a velocity '$$v$$'. Reynold number is...
MHT CET 2023 9th May Morning Shift
Water is flowing through a horizontal pipe in stream line flow. At the narrowest part of the pipe
MHT CET 2023 9th May Morning Shift
The excess of pressure in a first soap bubble is three times that of other soap bubble. Then the ratio of the volume of first bubble to other is...
MHT CET 2023 9th May Morning Shift
The radii of two soap bubbles are $$r_1$$ and $$r_2$$. In isothermal condition they combine with each other to form a single bubble. The radius of res...
MHT CET 2022 11th August Evening Shift
The work done in blowing a soap bubble of radius $$\mathrm{R}$$ is '$$\mathrm{W}_1$$' at room temperature. Now the soap solution is heated. From the h...
MHT CET 2022 11th August Evening Shift
A steel coin of thickness '$$\mathrm{d}$$' and density '$$\rho$$' is floating on water of surface tension '$$T$$'. The radius of the coin $$(R)$$ is [...
MHT CET 2022 11th August Evening Shift
The excess pressure inside a soap bubble of radius $$2 \mathrm{~cm}$$ is 50 dyne/cm$$^2$$. The surface tension is
MHT CET 2021 24th September Evening Shift
'n' small drops of same size fall through air with constant velocity $$5 \mathrm{~cm} / \mathrm{s}$$. They coalesce to form a big drop. The terminal v...
MHT CET 2021 24th September Evening Shift
Pressure inside two soap bubbles are 1.01 atm and 1.03 atm. The ratio between their volumes is (Pressure outside the soap bubble is 1 atmosphere)...
MHT CET 2021 24th September Evening Shift
If the work done in blowing a soap bubble of volume '$$\mathrm{V}$$' is '$$\mathrm{W}$$', then the work done in blowing a soap bubble of volume '$$2 \... MHT CET 2021 24th September Morning Shift A glass tube of uniform cross-section is connected to a tap with a rubber tube. The tap is opened slowly. Initially the flow of water in the tube is s... MHT CET 2021 24th September Morning Shift A thin metal disc of radius 'r' floats on water surface and bends the surface downwards along the perimeter making an angle '$$\theta$$' with the ver... MHT CET 2021 24th September Morning Shift The work done in blowing a soap bubble of volume '$$\mathrm{V}$$' is '$$\mathrm{W}$$'. The work required to blow a soap bubble of volume '$$2 \mathrm{...
MHT CET 2021 23rd September Evening Shift
A glass rod of radius '$$r_1$$' is inserted symmetrically into a vertical capillary tube of radius '$$r_2$$' ($$r_1 ... MHT CET 2021 23rd September Evening Shift An ice cube of edge$$1 \mathrm{~cm}$$melts in a gravity free container. The approximate surface area of water formed is (water is in the form of sph... MHT CET 2021 23rd September Evening Shift Water rises upto a height of$$4 \mathrm{~cm}$$in a capillary tube. The lower end of the capillary tube is at a depth of$$8 \mathrm{~cm}$$below the... MHT CET 2021 23th September Morning Shift The speed of a ball of radius$$2 \mathrm{~cm}$$in a viscous liquid is$$20 \mathrm{~cm} / \mathrm{s}$$. What will be the speed of a ball of radius ... MHT CET 2021 23th September Morning Shift Water rises to a height of$$2 \mathrm{~cm}$$in a capillary tube. If cross-sectional area of the tube is reduced to$$\frac{1}{16}^{\text {th }}$$of... MHT CET 2021 23th September Morning Shift Work done in increasing the size of a soap bubble from radius of$$3 \mathrm{~cm}$$to$$5 \mathrm{~cm}$$in millijoule is nearly (surface tension of ... MHT CET 2021 22th September Evening Shift A ball rises to the surface of a liquid with constant velocity. The density of the liquid is four times the density of the material of the ball. The v... MHT CET 2021 22th September Evening Shift If the terminal speed of a sphere A [density$$\rho_{\mathrm{A}}=7.5 \mathrm{~kg} \mathrm{~m}^{-3}$$] is$$0.4 \mathrm{~ms}^{-1}$$, in a viscous liqu... MHT CET 2021 22th September Evening Shift A needle is$$7 \mathrm{~cm}$$long. Assuming that the needle is not wetted by water, what is the weight of the needle, so that it floats on water?$$...
MHT CET 2021 22th September Morning Shift
Water rises in a capillary tube of radius '$$r$$' up to a height '$$\mathrm{h}$$'. The mass of water in a capillary is '$$\mathrm{m}$$'. The mass of w...
MHT CET 2021 22th September Morning Shift
A drop of liquid of density '$$\rho$$' is floating half immersed in a liquid of density '$$d$$'. If '$$T$$' is the surface tension, then the diameter ...
MHT CET 2021 21th September Evening Shift
Under isothermal conditions, two soap bubbles of radii '$$r_1$$' and '$$r_2$$' combine to form a single soap bubble of radius '$$R$$'. The surface te...
MHT CET 2021 21th September Evening Shift
In a capillary tube having area of cross-section A, water rises to a height 'h'. If cross-sectional area is reduced to $$\frac{A}{9}$$, the rise of wa...
MHT CET 2021 21th September Evening Shift
Water rises upto a height $$10 \mathrm{~cm}$$ in a capillary tube. It will rise to a height which is much more than $$10 \mathrm{~cm}$$ in a very long...
MHT CET 2021 21th September Evening Shift
A big water drop is divided into 8 equal droplets. $$\Delta \mathrm{P}_{\mathrm{s}}$$ and $$\Delta \mathrm{P}_{\mathrm{B}}$$ be the excess pressure in...
MHT CET 2021 21th September Morning Shift
The surface tension of most of the liquid decreases with rise in
MHT CET 2021 21th September Morning Shift
The velocity of a small ball of mass '$$M$$' and density '$$\mathrm{d}_1$$' when dropped in a container filled with glycerine becomes constant after s...
MHT CET 2021 21th September Morning Shift
Two small drops of mercury each of radius '$$R$$' coalesce to form a large single drop. The ratio of the total surface energies before and after the c...
MHT CET 2021 20th September Evening Shift
What should be the radius of water drop so that excess pressure inside it is 72 Nm$$^{-2}$$ ? (The surface tension of water 7.2 $$\times$$ 10$$^{-2}... MHT CET 2021 20th September Evening Shift A body of density$$V$$is dropped from (at rest) height '$$h$$' into a lake of density '$$\delta$$'$$(\delta > \rho)$$. The maximum depth to which t... MHT CET 2021 20th September Evening Shift The surface energy of a liquid drop is 'U'. It splits up into 512 equal droplets. The surface energy becomes MHT CET 2021 20th September Morning Shift Air is pushed in a soap bubble to increase its radius from 'R' to '2R'. In this case, the pressure inside the bubble MHT CET 2021 20th September Morning Shift Let '$$\mathrm{R_1}$$' and '$$\mathrm{R_2}$$' are radii of two mercury drops. A big mercury drop is formed from them under isothermal conditions. The ... MHT CET 2021 20th September Morning Shift The force required to take away a flat circular plate of radius$$2 \mathrm{~cm}$$from the surface of water is$$\left[\right.$$Surface tension of wa... MHT CET 2020 16th October Morning Shift Water rises in a capillary tube of radius$$r$$upto a height$$h$$. The mass of water in a capillary is$$m$$. The mass of water that will rise in a ... MHT CET 2020 16th October Morning Shift A small metal sphere of mass$$M$$and density$$d_1$$when dropped in a jar filled with liquid moves with terminal velocity after sometime. The visco... MHT CET 2020 16th October Morning Shift Two small drops of mercury each of radius$$r coalesce to form a large single drop. The ratio of the total surface energies before and after the cha...
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