General
Easy
Physics-

A ray of light travelling in air is incident at a grazing angle on a large transparent slab of thickness t equals 2.0 m. The point of incidence is the origin. The medium has a variable refractive index(y) given by mu left parenthesis y right parenthesis equals square root of k y plus 1 end root Where y is in m and k equals 0.25 m to the power of negative 1 end exponent

a) Express a relation between the angle of incidence and the slope of the trajectory m, in terms of the refractive index at that point m ( y)</span

Physics-General

  1. fraction numerator square root of mu to the power of 2 end exponent minus 1 end root over denominator sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses end fraction    
  2. fraction numerator square root of mu to the power of 2 end exponent plus 1 end root over denominator sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses end fraction    
  3. fraction numerator square root of mu to the power of 2 end exponent plus 1 end root over denominator sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses end fraction    
  4. fraction numerator mu over denominator sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses end fraction    

    Answer:The correct answer is: fraction numerator square root of mu to the power of 2 end exponent minus 1 end root over denominator sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator mu end fraction close parentheses end fraction

    Book A Free Demo

    +91

    Grade*

    Related Questions to study

    General
    physics-

    A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript equals 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n subscript 2 end subscript equals 1.5, as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distacnce f2 from the film. Then

    A transparent thin film of uniform thickness and refractive index n subscript 1 end subscript equals 1.4 is coated on the convex spherical surface of radius R at one end of a long solid glass cylinder of refractive index n subscript 2 end subscript equals 1.5, as shown in figure. Rays of light parallel to the axis of the cylinder traversing through the film from air to glass get focused at distance f1 from the film, while rays of light traversing from glass to air get focused at distacnce f2 from the film. Then

    physics-General
    General
    physics-

    The effective focal length of the lens combination shown in figure is - 60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is

    The effective focal length of the lens combination shown in figure is - 60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is

    physics-General
    General
    physics-

    A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by mu equals A minus B t where A and B are constants and ‘t’ is the thickness of slab measured from the top surface. Find the maximum depth travelled by ray in the slab. Assume thickness of slab to be sufficiently large

    A ray of ligth enters into a glass slab from air as shown .If refractive of glass slab is given by mu equals A minus B t where A and B are constants and ‘t’ is the thickness of slab measured from the top surface. Find the maximum depth travelled by ray in the slab. Assume thickness of slab to be sufficiently large

    physics-General
    General
    physics-

    The refraction index of an anisotropic medium varies as mu equals mu subscript 0 end subscript square root of left parenthesis x plus 1 right parenthesis end root comma text  where  end text 0 less or equal than x less or equal than a. A ray of light is incident at the origin just along y-axis (shown in figure). Find the equation of ray in the medium

    The refraction index of an anisotropic medium varies as mu equals mu subscript 0 end subscript square root of left parenthesis x plus 1 right parenthesis end root comma text  where  end text 0 less or equal than x less or equal than a. A ray of light is incident at the origin just along y-axis (shown in figure). Find the equation of ray in the medium

    physics-General
    General
    physics-

    Due to a vertical temperature gradient in the atmosphere, the index of refraction varies. Suppose index of refraction varies as n equals n subscript 0 end subscript square root of 1 plus a y end root, where n0 is the index of refraction at the surface and a equals 2.0 cross times 10 to the power of negative 6 end exponent m to the power of negative 1 end exponent. A person of height h = 2.0 m stands on a level surface. Beyond what distance will he not see the runway?

    Due to a vertical temperature gradient in the atmosphere, the index of refraction varies. Suppose index of refraction varies as n equals n subscript 0 end subscript square root of 1 plus a y end root, where n0 is the index of refraction at the surface and a equals 2.0 cross times 10 to the power of negative 6 end exponent m to the power of negative 1 end exponent. A person of height h = 2.0 m stands on a level surface. Beyond what distance will he not see the runway?

    physics-General
    General
    physics-

    Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig

    Find the variation of refractive index assuming it to be a function of y such that a ray entering origin at grazing incidence follows a parabolic path y = x2 as shown in fig

    physics-General
    General
    physics-

    A light ray travelling in a glass medium is incident on glass - air interface at an angle of incidence q . The reflected (R) and transmitted (T) intensities, both as function ofq , are plotted. The correct sketch is

    A light ray travelling in a glass medium is incident on glass - air interface at an angle of incidence q . The reflected (R) and transmitted (T) intensities, both as function ofq , are plotted. The correct sketch is

    physics-General
    General
    physics-

    A cubic container is filled with a liquid whose refractive index increases linearly from top to bottom. Which of the following represents the path of a ray of light inside the liquid?

    A cubic container is filled with a liquid whose refractive index increases linearly from top to bottom. Which of the following represents the path of a ray of light inside the liquid?

    physics-General
    General
    physics-

    A plane mirror is placed at the bottom of a tank containing a liquid of refractive index m . P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid, observes P and its image in the mirror. The apparent distance between these two will be

    A plane mirror is placed at the bottom of a tank containing a liquid of refractive index m . P is a small object at a height h above the mirror. An observer O, vertically above P, outside the liquid, observes P and its image in the mirror. The apparent distance between these two will be

    physics-General
    General
    physics-

    A ray of light travels in the way as shown in the figure. After passing through water, the ray grazes along the water air interface. The value of mg interms of ‘i’ is open parentheses mu subscript w end subscript equals 4 divided by 3 close parentheses

    A ray of light travels in the way as shown in the figure. After passing through water, the ray grazes along the water air interface. The value of mg interms of ‘i’ is open parentheses mu subscript w end subscript equals 4 divided by 3 close parentheses

    physics-General
    General
    physics-

    A reflecting surface is represented by the equation x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent. A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are

    A reflecting surface is represented by the equation x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent. A ray travelling in negative x-direction is directed towards positive y-direction after reflection from the surface at point P. Then co-ordinates of point P are

    physics-General
    General
    physics-

    A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure. Refractive index ‘n’ of the first lens is 1.5 and that of the second lens is 1.2. Both the curved surface are of the same radius of curvature R=14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be

    A bi-convex lens is formed with two thin planoconvex lenses as shown in the figure. Refractive index ‘n’ of the first lens is 1.5 and that of the second lens is 1.2. Both the curved surface are of the same radius of curvature R=14 cm. For this bi-convex lens, for an object distance of 40 cm, the image distance will be

    physics-General
    General
    physics-

    A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The refractive index of the prism must be greater than

    A ray of light incident normally on an isosceles right angled prism travels as shown in the figure. The refractive index of the prism must be greater than

    physics-General
    General
    physics-

    A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position and nature of the final image when the distance x shown in figure, is 5 cm

    A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position and nature of the final image when the distance x shown in figure, is 5 cm

    physics-General
    General
    physics-

    A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position of the final image when the distance x shown in figure is 20cm

    A point object O is placed in front of a concave mirror of focal length 10 cm. A glass slab of refractive index m = 3/ 2 and thicikness 6 cm is inserted between the object and mirror. Find the position of the final image when the distance x shown in figure is 20cm

    physics-General