General
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Chemistry-

C subscript 6 H subscript 5 minus C H equals C H C H O not stretchy rightwards arrow with X on top C subscript 6 H subscript 5 C H equals C H C H subscript 2 O H  In the above sequence X can be

Chemistry-General

  1. H subscript 2 divided by N i
  2. K subscript 2 C r subscript 2 O subscript 7 divided by H to the power of plus
  3. N a B H subscript 4
  4. Both (a) and (b)

    Answer:The correct answer is: N a B H subscript 4N a B H subscript 4 space a n d space L i A l H subscript 4 attacks only carbonyl group and reduce it into alcohol group. They do not attack on double bond. 

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    General
    maths-

    If d is the determinant of a square matrix A of order n, then the determinant of its adjoint is

    vertical line A d j A vertical line equals vertical line A vertical line to the power of n minus 1 end exponent equals d to the power of n minus 1 end exponent.

    If d is the determinant of a square matrix A of order n, then the determinant of its adjoint is

    maths-General
    vertical line A d j A vertical line equals vertical line A vertical line to the power of n minus 1 end exponent equals d to the power of n minus 1 end exponent.
    General
    maths-

    If A and B are non-singular square matrices of same order, then a d j left parenthesis A B right parenthesis is equal to

    It is obvious.

    If A and B are non-singular square matrices of same order, then a d j left parenthesis A B right parenthesis is equal to

    maths-General
    It is obvious.
    General
    maths-

    The element in the first row and third column of the inverse of the matrix open square brackets table row 1 2 cell negative 3 end cell row 0 1 2 row 0 0 1 end table close square bracketsis

    Let A equals open square brackets table row 1 2 cell negative 3 end cell row 0 1 2 row 0 0 1 end table close square brackets Þ |A| = 1
    a d j left parenthesis A right parenthesis equals open square brackets table row 1 2 cell negative 1 end cell row cell negative 2 end cell 1 1 row 7 cell negative 2 end cell 1 end table close square brackets to the power of T end exponent.
    Hence, A to the power of negative 1 end exponent equals fraction numerator a d j left parenthesis A right parenthesis over denominator vertical line A vertical line end fraction
    Þ A to the power of negative 1 end exponent equals open square brackets table row 1 cell negative 2 end cell 7 row 2 1 cell negative 2 end cell row cell negative 1 end cell 1 1 end table close square brackets . Hence, element z equals 3.

    The element in the first row and third column of the inverse of the matrix open square brackets table row 1 2 cell negative 3 end cell row 0 1 2 row 0 0 1 end table close square bracketsis

    maths-General
    Let A equals open square brackets table row 1 2 cell negative 3 end cell row 0 1 2 row 0 0 1 end table close square brackets Þ |A| = 1
    a d j left parenthesis A right parenthesis equals open square brackets table row 1 2 cell negative 1 end cell row cell negative 2 end cell 1 1 row 7 cell negative 2 end cell 1 end table close square brackets to the power of T end exponent.
    Hence, A to the power of negative 1 end exponent equals fraction numerator a d j left parenthesis A right parenthesis over denominator vertical line A vertical line end fraction
    Þ A to the power of negative 1 end exponent equals open square brackets table row 1 cell negative 2 end cell 7 row 2 1 cell negative 2 end cell row cell negative 1 end cell 1 1 end table close square brackets . Hence, element z equals 3.
    General
    physics-

    Most materials have the refractive index, n > 1 So, when a light ray from air enters a naturally occurring material, then by Snell’s text law,  end text fraction numerator sin invisible function application theta subscript 1 end subscript over denominator sin invisible function application theta subscript 2 end subscript end fraction equals fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction comma it is understood that the refracted ray bends towards the normal But it never emerges on the same side of the normal as the incident ray According to electromagnetism, the refractive index of the medium is given by the relation, n equals open parentheses fraction numerator c over denominator V end fraction close parentheses equals plus-or-minus square root of epsilon subscript r end subscript mu subscript r end subscript end root, where c is the speed of the electromagnetic waves in vacuum, v its speed in the medium, er and mr are negative, one must choose the negative root of n Such negative refractive index materials can now be artificially prepared and are called metamaterials They exhibit signficantly different optical behaviour, without violating any physical laws Since n is negative, it results in a change in the direction of propagation of the refracted light However, similar to normal materials, the frequency of light remains unchanged upon refraction even in metamaterials For light incident from air on a meta-material, the appropriate ray diagrams

    Most materials have the refractive index, n > 1 So, when a light ray from air enters a naturally occurring material, then by Snell’s text law,  end text fraction numerator sin invisible function application theta subscript 1 end subscript over denominator sin invisible function application theta subscript 2 end subscript end fraction equals fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction comma it is understood that the refracted ray bends towards the normal But it never emerges on the same side of the normal as the incident ray According to electromagnetism, the refractive index of the medium is given by the relation, n equals open parentheses fraction numerator c over denominator V end fraction close parentheses equals plus-or-minus square root of epsilon subscript r end subscript mu subscript r end subscript end root, where c is the speed of the electromagnetic waves in vacuum, v its speed in the medium, er and mr are negative, one must choose the negative root of n Such negative refractive index materials can now be artificially prepared and are called metamaterials They exhibit signficantly different optical behaviour, without violating any physical laws Since n is negative, it results in a change in the direction of propagation of the refracted light However, similar to normal materials, the frequency of light remains unchanged upon refraction even in metamaterials For light incident from air on a meta-material, the appropriate ray diagrams

    physics-General
    General
    physics-

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point If fp and fm represent the focal length of paraxial and marginal rays respectively, then correct relationship is :

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point If fp and fm represent the focal length of paraxial and marginal rays respectively, then correct relationship is :

    physics-General
    General
    physics-

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point The total deviation suffered by the ray falling on mirror at an angle of incidence equal to 60° is

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point The total deviation suffered by the ray falling on mirror at an angle of incidence equal to 60° is

    physics-General
    General
    physics-

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point For paraxial rays, focal length approximately is

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point For paraxial rays, focal length approximately is

    physics-General
    General
    physics-

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point Which of the following statements are correct regarding spherical aberration :

    Spherical aberration in spherical mirrors is a defect which is due to dependence of focal length ‘f’ on angle of incidence ‘ q ’ as shown in figure is given by f equals R minus fraction numerator K over denominator 2 end fraction s e c invisible function application theta where R is radius of curvature of mirror and q is the angle of incidence The rays which are closed to principal axis are called paraxial rays and the rays far away from principal axis are called marginal rays As a result of above dependence different rays are brought to focus at different points and the image of a point object is on a point Which of the following statements are correct regarding spherical aberration :

    physics-General
    General
    physics-

    A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The time taken for the light to go from the point A to the point B in the figure

    A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The time taken for the light to go from the point A to the point B in the figure

    physics-General
    General
    physics-

    A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The slope of left parenthesis i minus r right parenthesis curve is

    A Ray of light goes from A in a medium where the speed of light is V1 to a point B in a medium where the speed of light is V2 as shown in figure The path of the rays as shown in figure Answer the following questions,based on the above paragraph The slope of left parenthesis i minus r right parenthesis curve is

    physics-General
    General
    physics-

    A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s open square brackets mu subscript text water  end text end subscript equals fraction numerator 4 over denominator 3 end fraction close square brackets blankSpeed of the image of fish as seen by the bird directly in cm/s is

    A bird in air is diving vertically over a tank with speed 5cm/s Base of the tank is silvered A fish in the tank is rising upward along the same line with speed 2cm/s Water level is falling at a rate of 2cm/s open square brackets mu subscript text water  end text end subscript equals fraction numerator 4 over denominator 3 end fraction close square brackets blankSpeed of the image of fish as seen by the bird directly in cm/s is

    physics-General
    General
    chemistry-

    Which alcohol cannot be oxidized by M n O subscript 2 ?

    Which alcohol cannot be oxidized by M n O subscript 2 ?

    chemistry-General
    General
    physics-

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 The coordinates (x1, y(A) of the point P where the ray intersects the upper surface of the slabair boundary are

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 The coordinates (x1, y(A) of the point P where the ray intersects the upper surface of the slabair boundary are

    physics-General
    General
    physics-

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 Equation for the trajectory y(x) of the ray in the medium is

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 Equation for the trajectory y(x) of the ray in the medium is

    physics-General
    General
    physics-

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 The incident angle at B(x, y) in the medium and the slope at B are related by the formula

    A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 The incident angle at B(x, y) in the medium and the slope at B are related by the formula