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Light from a point source in air falls on a convex spherical glass surface `(mu = 1.5 and R = 20 cm)`. Calculate position of the image when the light source is at `1m` from the glass surface.

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Light from a point source in air falls on a spherical glass surface (n = 1.5 and radius of curvature = 20 cm). The distance of the light source from the glass surface is 100 cm. At what position the image is formed ?

Derive the mathematical relation between refractive indices n_(1) and n_2 of two media and radius of curvature R for refraction at a convex spherical surface. Consider the object to be a point one lying on the principal axis in rarer medium of refractive index nt and a real image formed in the denser medium of refractive index n_2 . Hence, derive lens maker's formula. (ii) Light from a point source in air falls on a convex spherical glass surface of refractive index 1.5 and radius of curvature 20 cm. The distance of light source from the glass surface is 100 cm. At what position is the image formed ?

Knowledge Check

  • When light is refracted from air into glass

    A
    Its wavelength and frequency both increase
    B
    Its wavelength increases but frequency remains unchanged
    C
    Its wavelength decreases but frequency remains unchanged
    D
    Its wavelength and frequency both decrease
  • From a point source a light falls on a spherical glass surface ( mu = 1.5 and radius of curvature = 10 cm ). The distance between point source and glass surface is 50 cm . The position of image is

    A
    `25 cm`
    B
    `50 cm`
    C
    `100 cm`
    D
    `150 cm`
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    (i) Device the mathematical n between refractive indices n_(1) and n_(2) of two radii and radius of curvature R for refraction at a convex shperical surface. Consider the object to be a point since lying on the principal axis in rarer medium of refractive index n_(1) and a real image formed in the denser medium of refractive index n_(2) . Hence, derive lens marker's formula. (ii) Light from a point source in air falls on a convex spherical glass surface of refractive index 1.5 and radius of curvature 20cm . The distance of light source from the glass surface is 100cm . At what position is the image formed ?

    Light from a point source in air falls on a spherical glass surface mu = 1.5 and R = 20 cm . The image is formed at a distance of 100 cm from the glass surface in the direction of incident light. Calculate the object distance from the centre of curvature of the spherical surface.

    Light from a point source in air falls on a spherical glass surface. If mu = 1.5 , and radius of curvature = 20 cm , the distance of light source from the glass surface is 100 cm , at what position will the image be formed ? (NCERT Solved Example)

    Light from a point source in air falls on a spherical glass surface. If mu = 1.5 , and radius of curvature = 20 cm , the distance of light source from the glass surface is 100 cm , at what position will the image be formed ? (NCERT Solved Example)

    A small point objects is placed in air at a distance of 60 cm from a convex spherical refractive surface of mu = 1.5 . If radius of curvature of spherical surface is 25 m , calculate the position of the image and the power of the refracting surface.

    A small LED, emitting light is placed at x distance above a spherical glass of refractive index 1.5 and radius of curvature 30 cm. The image of the LED is formed at a distance of 150 cm away from the surface of sphere along the direction of incident light. Calculate the distance between LED light and the surface of spherical glass.