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A light semi cylindrical gate of radius R is piovted at its mid point O, of the diameter as shown in the figure holding liquid of density r. The force F required to prevent the rotation of the gate is equal to
- none of these
The correct answer is: none of these
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In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities 
and 
. The height ‘h’ for the equilibrium of cylinder must be
In the figure shown, the heavy cylinder (radius R) resting on a smooth surface separates two liquids of densities and . The height ‘h’ for the equilibrium of cylinder must be
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A U – tube having horizontal arm of length 20 cm, has uniform cross-sectional area 
It is filled with water of volume 60 cc. What volume of a liquid of density 4 g/cc should be poured from one side into the U – tube so that no water is left in the horizontal arm of the tube?
A U – tube having horizontal arm of length 20 cm, has uniform cross-sectional area It is filled with water of volume 60 cc. What volume of a liquid of density 4 g/cc should be poured from one side into the U – tube so that no water is left in the horizontal arm of the tube?
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A liquid of mass 1 kg is filled in a flask as shown in figure. The force exerted by the flask on the liquid is 
[Neglect atmospheric pressure]:
A liquid of mass 1 kg is filled in a flask as shown in figure. The force exerted by the flask on the liquid is [Neglect atmospheric pressure]:
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Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency w about an axis passing through arm B. The angular frequency 
at which level of liquid in arm B becomes zero.
Figure shows a three arm tube in which a liquid is filled upto levels of height l. It is now rotated at an angular frequency w about an axis passing through arm B. The angular frequency at which level of liquid in arm B becomes zero.
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A fluid container is containing a liquid of density 
is accelerating upward with acceleration a along the inclined place of inclination a as shown. Then the angle of inclination 
of free surface is :
A fluid container is containing a liquid of density is accelerating upward with acceleration a along the inclined place of inclination a as shown. Then the angle of inclination of free surface is :
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The area of cross-section of the wider tube shown in figure is 
If a mass of 12 kg is placed on the massless piston, the difference in heights h in the level of water in the two tubes is :
The area of cross-section of the wider tube shown in figure is If a mass of 12 kg is placed on the massless piston, the difference in heights h in the level of water in the two tubes is :
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A cone of radius R and height H, is hanging inside a liquid of density by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is
A cone of radius R and height H, is hanging inside a liquid of density by means of a string as shown in the figure. The force, due to the liquid acting on the slant surface of the cone is
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The vertical limbs of a U shaped tube are filled with a liquid of density upto a height h on each side. The horizontal portion of the U tube having length 2h contains a liquid of density 2. The U tube is moved horizontally with an accelerator g/2 parallel to the horizontal arm. The difference in heights in liquid levels in the two vertical limbs, at steady state will be
The vertical limbs of a U shaped tube are filled with a liquid of density upto a height h on each side. The horizontal portion of the U tube having length 2h contains a liquid of density 2. The U tube is moved horizontally with an accelerator g/2 parallel to the horizontal arm. The difference in heights in liquid levels in the two vertical limbs, at steady state will be
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A wire as a parabola y = a 
is located in a uniform magnetic field of inductance B, the vector B being perpendicular to the plane xy. At the moment t = 0 a connector starts translation wise from the parabola apex with a constant acceleration w to find the emf of electromagnetic induction in the loop this formed as a function of y
A wire as a parabola y = a is located in a uniform magnetic field of inductance B, the vector B being perpendicular to the plane xy. At the moment t = 0 a connector starts translation wise from the parabola apex with a constant acceleration w to find the emf of electromagnetic induction in the loop this formed as a function of y
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In a series R-L-C circuit, the frequency of the source is half of the resonance frequency. The nature of the circuit will be
In a series R-L-C circuit, the frequency of the source is half of the resonance frequency. The nature of the circuit will be
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In figure, a lamp P is in series with an iron-core inductor L. When the switch S is closed, the brightness of the lamp rises relatively slowly to its full brightness than it would do without the inductor. This is due to
In figure, a lamp P is in series with an iron-core inductor L. When the switch S is closed, the brightness of the lamp rises relatively slowly to its full brightness than it would do without the inductor. This is due to
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In figure, the switch S is closed so that a current flows in the iron-core inductor which has inductance L and the resistance R. When the switch is opened, a spark is obtained in it at the contacts. The spark is due to
In figure, the switch S is closed so that a current flows in the iron-core inductor which has inductance L and the resistance R. When the switch is opened, a spark is obtained in it at the contacts. The spark is due to
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An inductor L, a resistance R and two identical bulbs B1 and B2 are connected to a battery through a switch S as shown in the figure. The resistance of coil having inductance L is also R. Which of the following statement gives the correct description of the happenings when the switch S is closed?
An inductor L, a resistance R and two identical bulbs B1 and B2 are connected to a battery through a switch S as shown in the figure. The resistance of coil having inductance L is also R. Which of the following statement gives the correct description of the happenings when the switch S is closed?
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A circuit element is placed in a closed box. At time t=0, constant current generator supplying a current of 1 amp, is connected across the box. Potential difference across the box varies according to graph shown in figure. The element in the box is :
A circuit element is placed in a closed box. At time t=0, constant current generator supplying a current of 1 amp, is connected across the box. Potential difference across the box varies according to graph shown in figure. The element in the box is :
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A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 20 m/s in a uniform magnetic field B = 4.0 T directed into the paper. A capacitor of capacity C = 10 
is connected as shown in figure. Then
A conducting rod PQ of length L = 1.0 m is moving with a uniform speed v = 20 m/s in a uniform magnetic field B = 4.0 T directed into the paper. A capacitor of capacity C = 10 is connected as shown in figure. Then
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