Physics
General
Easy

Question

A bird in air looks at a fish vertically below it and inside water, is h subscript 1 the height of the bird above the surface of water and , the depth of the fish below the surface of water. If refractive index of water with respect to air be n , then what is the distance of the fish observed by the bird

  1. straight n subscript 1 straight h subscript 1 plus nh subscript 2
  2. nh subscript 1 plus straight h subscript 2
  3. h subscript 1 plus h subscript 2 over n
  4. straight h subscript 1 plus straight h subscript 2

The correct answer is: h subscript 1 plus h subscript 2 over n

Related Questions to study

General
physics

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 h subscript 1 and h subscript 2 respectively. An object o is located at the bottom. When seen vertically from above, locate the position of image of o.

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 h subscript 1 and h subscript 2 respectively. An object o is located at the bottom. When seen vertically from above, locate the position of image of o.

physicsGeneral
General
Maths-

At any point P space open parentheses x subscript 1 comma y subscript 1 close parentheses on a curve if the subtangent and subnormal are equal then at that point the length of the tangent is equal to

The given point where the  subtangent and subnormal is equal is  (x1, y1).
Subtangent is the projection of tangent on x-axis.
Subnormal is the projection of normal on x-axis.
The formula of subtangent is fraction numerator y over denominator fraction numerator d y over denominator d x end fraction end fraction
The formula of subnormal is y fraction numerator d y over denominator d x end fraction
The formula for length of tangent at point (x1, y1)
L e n g t h space o f space tan g e n t space equals space open vertical bar y subscript 1 square root of 1 plus open parentheses fraction numerator d x over denominator d y end fraction close parentheses subscript x subscript 1 comma y subscript 1 end subscript end root close vertical bar
Subtangent = Subnormal
fraction numerator y over denominator fraction numerator d y over denominator d x end fraction end fraction equals y fraction numerator d y over denominator d x end fraction
space y over y equals open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared
1 space equals space open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared
1 space equals space open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared
open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared space equals space 1
L e n g t h space o f space tan g e n t space equals open vertical bar y subscript 1 square root of 1 plus open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared end root close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals vertical line y subscript 1 square root of 1 space plus space 1 end root vertical line
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals y subscript 1 square root of 2
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 2 y subscript 1

This is the required answer.

At any point P space open parentheses x subscript 1 comma y subscript 1 close parentheses on a curve if the subtangent and subnormal are equal then at that point the length of the tangent is equal to

Maths-General
The given point where the  subtangent and subnormal is equal is  (x1, y1).
Subtangent is the projection of tangent on x-axis.
Subnormal is the projection of normal on x-axis.
The formula of subtangent is fraction numerator y over denominator fraction numerator d y over denominator d x end fraction end fraction
The formula of subnormal is y fraction numerator d y over denominator d x end fraction
The formula for length of tangent at point (x1, y1)
L e n g t h space o f space tan g e n t space equals space open vertical bar y subscript 1 square root of 1 plus open parentheses fraction numerator d x over denominator d y end fraction close parentheses subscript x subscript 1 comma y subscript 1 end subscript end root close vertical bar
Subtangent = Subnormal
fraction numerator y over denominator fraction numerator d y over denominator d x end fraction end fraction equals y fraction numerator d y over denominator d x end fraction
space y over y equals open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared
1 space equals space open parentheses fraction numerator d y over denominator d x end fraction close parentheses squared
1 space equals space open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared
open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared space equals space 1
L e n g t h space o f space tan g e n t space equals open vertical bar y subscript 1 square root of 1 plus open parentheses fraction numerator d x over denominator d y end fraction close parentheses squared end root close vertical bar
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals vertical line y subscript 1 square root of 1 space plus space 1 end root vertical line
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals y subscript 1 square root of 2
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals square root of 2 y subscript 1

This is the required answer.
General
biology

The below diagram represents the human digestive system. Identify A, B, C, D and E

The below diagram represents the human digestive system. Identify A, B, C, D and E

biologyGeneral
parallel
General
physics

A vessels of depth t is half filled with oil of refractive index n subscript 1 and the other half is filled with water (refractive index n subscript 2 ). The apparent depth of the vessel when viewed from above is…….

A vessels of depth t is half filled with oil of refractive index n subscript 1 and the other half is filled with water (refractive index n subscript 2 ). The apparent depth of the vessel when viewed from above is…….

physicsGeneral
General
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.

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.

physicsGeneral
General
Maths-

The length of the normal to the curve y equals a c o s space h open parentheses x over a close parentheses at any point varies as

The given curve is y equals a cos h open parentheses x over a close parentheses
Ordinate means the y-axis
And abscissa means x-axis
The formula of length of the normal at point (x,y) is given by L e n g t h space equals space open vertical bar y subscript 1 square root of 1 space plus space m end root close vertical bar

Here, m = open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript left parenthesis x subscript 1 comma y subscript 1 right parenthesis end subscript
Now, we will find the value of fraction numerator d y over denominator d x end fraction
y equals a cos h open parentheses x over a close parentheses
fraction numerator d y over denominator d x end fraction equals a sin h open parentheses x over a close parentheses fraction numerator d over denominator d x end fraction open parentheses x over a close parentheses space space space space space space space space space space space space space space space space space... left curly bracket fraction numerator d over denominator d x end fraction cos h x space equals space minus sin h x right curly bracket
space space space space space space space equals space minus a sin h open parentheses x over a close parentheses space cross times 1 over a
space space space space space space space equals negative sin h open parentheses x over a close parentheses
 m space equals open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript left parenthesis x subscript 1 comma y subscript 1 right parenthesis end subscript
space space space space equals negative sin h open parentheses x subscript 1 over a close parentheses
We will substitute this value in the formula of length.
L e n g t h equals vertical line y subscript 1 square root of 1 plus m squared end root vertical line
space space space space space space space space space space space space space equals vertical line y subscript 1 square root of 1 space plus space left parenthesis negative sin h x over a end root right parenthesis squared vertical line
space space space space space space space space space space space space space equals vertical line y subscript 1 square root of cos h squared x over a end root vertical line space space space space space space space space space space space space space space... left curly bracket 1 space plus space sin h squared x space equals space cos h squared x right parenthesis
space space space space space space space space space space space space space equals open vertical bar y subscript 1 cos h x over a close vertical bar
space space y subscript 1 space end subscript equals space a cos h x over a
s o comma space cos h x over a equals y subscript 1 over a
L e n g t h space equals space vertical line y subscript 1 cross times y subscript 1 over a vertical line
space space space space space space space space space space space space space space equals y subscript 1 squared over a
Length is proportional to y12 as "a" is constant.
We can see the length of the normal depends on the square of y. It means the length of normal varies square of ordinate.

The length of the normal to the curve y equals a c o s space h open parentheses x over a close parentheses at any point varies as

Maths-General
The given curve is y equals a cos h open parentheses x over a close parentheses
Ordinate means the y-axis
And abscissa means x-axis
The formula of length of the normal at point (x,y) is given by L e n g t h space equals space open vertical bar y subscript 1 square root of 1 space plus space m end root close vertical bar

Here, m = open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript left parenthesis x subscript 1 comma y subscript 1 right parenthesis end subscript
Now, we will find the value of fraction numerator d y over denominator d x end fraction
y equals a cos h open parentheses x over a close parentheses
fraction numerator d y over denominator d x end fraction equals a sin h open parentheses x over a close parentheses fraction numerator d over denominator d x end fraction open parentheses x over a close parentheses space space space space space space space space space space space space space space space space space... left curly bracket fraction numerator d over denominator d x end fraction cos h x space equals space minus sin h x right curly bracket
space space space space space space space equals space minus a sin h open parentheses x over a close parentheses space cross times 1 over a
space space space space space space space equals negative sin h open parentheses x over a close parentheses
 m space equals open parentheses fraction numerator d y over denominator d x end fraction close parentheses subscript left parenthesis x subscript 1 comma y subscript 1 right parenthesis end subscript
space space space space equals negative sin h open parentheses x subscript 1 over a close parentheses
We will substitute this value in the formula of length.
L e n g t h equals vertical line y subscript 1 square root of 1 plus m squared end root vertical line
space space space space space space space space space space space space space equals vertical line y subscript 1 square root of 1 space plus space left parenthesis negative sin h x over a end root right parenthesis squared vertical line
space space space space space space space space space space space space space equals vertical line y subscript 1 square root of cos h squared x over a end root vertical line space space space space space space space space space space space space space space... left curly bracket 1 space plus space sin h squared x space equals space cos h squared x right parenthesis
space space space space space space space space space space space space space equals open vertical bar y subscript 1 cos h x over a close vertical bar
space space y subscript 1 space end subscript equals space a cos h x over a
s o comma space cos h x over a equals y subscript 1 over a
L e n g t h space equals space vertical line y subscript 1 cross times y subscript 1 over a vertical line
space space space space space space space space space space space space space space equals y subscript 1 squared over a
Length is proportional to y12 as "a" is constant.
We can see the length of the normal depends on the square of y. It means the length of normal varies square of ordinate.
parallel
General
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
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physics

A ray of light is incident normally on one of the faces of a proms of apex 30 to the power of 0  and  n=square root of 2 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 30 to the power of 0  and  n=square root of 2 what is the angle of deeviation which of the following is true?

physicsGeneral
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physics

There is a prism with refractive index equal to square root of 2 and the refracting angle equal to 30 to the power of 0. 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 square root of 2 and the refracting angle equal to 30 to the power of 0. 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
parallel
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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
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physics

An equilateral prism deviates a ray through 45 to the power of 0 for two angles of incidence differing by 20 to the power of 0 . What is the nof the prism?

An equilateral prism deviates a ray through 45 to the power of 0 for two angles of incidence differing by 20 to the power of 0 . What is the nof the prism?

physicsGeneral
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physics

The minimum deviation produced by a glass prism of angle 60 to the power of 0  is  30 to the power of 0. If the velocity of light in vaccum is 3 cross times 10 to the power of 8 space end exponent m divided by s. Then what is the velocity of light in glass in m/s ?

The minimum deviation produced by a glass prism of angle 60 to the power of 0  is  30 to the power of 0. If the velocity of light in vaccum is 3 cross times 10 to the power of 8 space end exponent m divided by s. Then what is the velocity of light in glass in m/s ?

physicsGeneral
parallel
General
physics-

Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of V volt. If one of the capacitor is completely immersed in a liquid of dielectric constant K, then the potential difference between the plates of the other capacitor will change to

In series combination, charge is constant.
therefore blank V proportional to fraction numerator 1 over denominator C end fraction
Now, fraction numerator V subscript 2 end subscript over denominator V subscript 1 end subscript end fraction equals fraction numerator K C over denominator C end fraction equals fraction numerator K over denominator 1 end fraction
But V subscript 1 end subscript plus V subscript 2 end subscript blank equals V
or fraction numerator V subscript 2 end subscript over denominator K end fraction plus V subscript 2 end subscript blank equals V blank o r blank V subscript 2 end subscript equals fraction numerator K over denominator K plus 1 end fraction V

Two identical parallel plate capacitors are placed in series and connected to a constant voltage source of V volt. If one of the capacitor is completely immersed in a liquid of dielectric constant K, then the potential difference between the plates of the other capacitor will change to

physics-General
In series combination, charge is constant.
therefore blank V proportional to fraction numerator 1 over denominator C end fraction
Now, fraction numerator V subscript 2 end subscript over denominator V subscript 1 end subscript end fraction equals fraction numerator K C over denominator C end fraction equals fraction numerator K over denominator 1 end fraction
But V subscript 1 end subscript plus V subscript 2 end subscript blank equals V
or fraction numerator V subscript 2 end subscript over denominator K end fraction plus V subscript 2 end subscript blank equals V blank o r blank V subscript 2 end subscript equals fraction numerator K over denominator K plus 1 end fraction V
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
General
physics

A light ray is incident perpendicular to one face of  90 to the power of 0 prism and is totally internally reflected at the glass-air interface. If the angle of reflection is  45 to the power of 0. We conclude that the refractive index....
.

A light ray is incident perpendicular to one face of  90 to the power of 0 prism and is totally internally reflected at the glass-air interface. If the angle of reflection is  45 to the power of 0. We conclude that the refractive index....
.

physicsGeneral
parallel

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