Physics
General
Easy
Question
A tank contains two different liquids which do not mix with each other as shown in figure. The lower and upper liquids are at depths
and
respectively. An object o is located at the bottom. When seen vertically from above, locate the position of image of o.
![](data:image/png;base64,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)
The correct answer is: ![straight h subscript 1 over straight n subscript 1 plus straight h subscript 2 over straight n subscript 2](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAsCAYAAAAzdnW7AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAATZJREFUeNrtWTsKAkEMHays7C1EEBFvIbb2HkAEC+/gBbyGeAOxtxA78QLeY7EZEwiowzb7i8nyAq9J8x6PTHZmXwj5FYOfiq0jgiktMWVBuBEywoUwMGxK41qZaE04E6bSWwmZRVNUtDLRMel1CC+jpqhoZaKuk12jpjU6WsBqWosQTQg7wsO4KVHAx+pKGDdpyoGw+eMUFZ0U3jdbwl1jJKOz45PBlN+aaV0vvNyC+7JTRjDl81E4iTF4L4kRfOvttfJhVrK+nwEqZqSw+pr2oNPt7wqYAlNgSrlFVAeq8FnRikmBKTAFpqBQKJSLpbckPIOP2LRxrVFI9oSh9CzHpipamWie9CzHpipakRDClPqJEJvm9BCbGny7IDatSSti06QQm+Z8FBCbJhOC2DQpxKZVdL4BgHfVikRIC4YAAAE/dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtc3ViPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5oPC9taT48bW4+MTwvbW4+PC9tc3ViPjxtc3ViPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj5uPC9taT48bW4+MTwvbW4+PC9tc3ViPjwvbWZyYWM+PG1vPis8L21vPjxtZnJhYz48bXN1Yj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+aDwvbWk+PG1uPjI8L21uPjwvbXN1Yj48bXN1Yj48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+bjwvbWk+PG1uPjI8L21uPjwvbXN1Yj48L21mcmFjPjwvbWF0aD6s/vw7AAAAAElFTkSuQmCC)
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physics
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n.P. is a small object at a height h above the mirror. An observer 0, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance between these two wall be.
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)
A plane mirror is placed at the bottom of a tank containing a liquid of refractive index n.P. is a small object at a height h above the mirror. An observer 0, vertically above P, outside the liquid sees P and its image in the mirror. The apparent distance between these two wall be.
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)
physicsGeneral
Maths-
The length of the normal to the curve
at any point varies as
For such questions, we should know the formula of length of normal.
The length of the normal to the curve
at any point varies as
Maths-General
For such questions, we should know the formula of length of normal.
physics
A ray of light is incident on one equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true?
A ray of light is incident on one equilateral glass prism placed on a horizontal table. For minimum deviation which of the following is true?
physicsGeneral
physics
A ray of light is incident normally on one of the faces of a proms of apex
and n=
what is the angle of deeviation which of the following is true?
A ray of light is incident normally on one of the faces of a proms of apex
and n=
what is the angle of deeviation which of the following is true?
physicsGeneral
physics
There is a prism with refractive index equal to
and the refracting angle equal to
. One of the refracting surfaces of the prism is polished. A beam of monochromatic light will retrace its path if its angle of incidence over the refracting surface of the prism is.........
There is a prism with refractive index equal to
and the refracting angle equal to
. One of the refracting surfaces of the prism is polished. A beam of monochromatic light will retrace its path if its angle of incidence over the refracting surface of the prism is.........
physicsGeneral
physics
The minimum angle of deviation of a prism of refractive index 1.732 is equal to its refracting angle. What is the angle of prism?
The minimum angle of deviation of a prism of refractive index 1.732 is equal to its refracting angle. What is the angle of prism?
physicsGeneral
physics
An equilateral prism deviates a ray through
for two angles of incidence differing by
. What is the nof the prism?
An equilateral prism deviates a ray through
for two angles of incidence differing by
. What is the nof the prism?
physicsGeneral
physics
The minimum deviation produced by a glass prism of angle
is
. If the velocity of light in vaccum is
. Then what is the velocity of light in glass in m/s ?
The minimum deviation produced by a glass prism of angle
is
. If the velocity of light in vaccum is
. Then what is the velocity of light in glass in m/s ?
physicsGeneral
physics-
Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of
volt. If one of the capacitor is completely immersed in a liquid of dielectric constant
, then the potential difference between the plates of the other capacitor will change to
Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of
volt. If one of the capacitor is completely immersed in a liquid of dielectric constant
, then the potential difference between the plates of the other capacitor will change to
physics-General
physics
Angle of prism is A and its one surface is silvered. Light rays falling at an angle at incidence 2 A on first surface return back through the same path after suffering reflection at second silvered surface What is the refractive index of material?
Angle of prism is A and its one surface is silvered. Light rays falling at an angle at incidence 2 A on first surface return back through the same path after suffering reflection at second silvered surface What is the refractive index of material?
physicsGeneral
physics
A light ray is incident perpendicular to one face of
prism and is totally internally reflected at the glass-air interface. If the angle of reflection is
. We conclude that the refractive index....
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)
A light ray is incident perpendicular to one face of
prism and is totally internally reflected at the glass-air interface. If the angle of reflection is
. We conclude that the refractive index....
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)
physicsGeneral
biology
The below diagram is a duct system of liver, gall bladder and pancreas. Write the names of ducts from A to D
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485011/1/887664/Picture1.png)
The below diagram is a duct system of liver, gall bladder and pancreas. Write the names of ducts from A to D
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/485011/1/887664/Picture1.png)
biologyGeneral