{"id":89666,"date":"2022-02-13T16:27:18","date_gmt":"2022-02-13T10:57:18","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=89666"},"modified":"2023-02-15T13:44:12","modified_gmt":"2023-02-15T08:14:12","slug":"study-material-to-obtain-a-lens-combination-with-the-specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/to-obtain-a-lens-combination-with-the-specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses\/","title":{"rendered":"To obtain a lens combination with the specified focal. length by using two lenses from the given set of lenses"},"content":{"rendered":"

To obtain a lens combination with the specified focal length by using two lenses from the given set of lenses<\/strong><\/span><\/h2>\n

Aim<\/strong><\/span>
\nTo obtain a lens combination with the specified focal length by using two lenses from the given set of lenses.<\/p>\n

Apparatus and material<\/strong><\/span>
\nApparatus. No particular apparatus is needed.
\nMaterial. A set of thin convex lenses, one of these is of given focal length (say 15 cm), (we have to select a second lens such that the combination gives a single lens of focal length fc<\/sub> = 10 cm), lens holder with stand, a white painted vertical wooden board with broad stand, half metre scale.<\/p>\n

Theory<\/strong><\/span><\/p>\n

    \n
  1. The reciprocal of focal length in metre is called power of lens in dioptre (D).
    \n\"to-obtain-a-lens-combination-with-the-specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses-1\"<\/li>\n
  2. With a convex lens, the real image of a distant object is formed at a distance equal to its focal length.<\/li>\n
  3. If f1<\/sub> and f2<\/sub> be the focal lengths of the two lenses and F be the focal length of the combination.
    \n\"to-obtain-a-lens-combination-with-the-specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses-2\"<\/li>\n<\/ol>\n

    Diagram<\/strong><\/span>
    \n\"specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses-3\"<\/p>\n

    Procedure<\/strong><\/span><\/p>\n

      \n
    1. Keep the white painted vertical wooden board to serve as a screen.<\/li>\n
    2. The convex lens (known focal length f1<\/sub> = 15 cm), fixed into a holder stand is put on the left of the screen. There are sunlight illuminated green trees at large distance on the left of the lens.<\/li>\n
    3. The lens is moved towards and away from the screen till a sharp, inverted image of
      \ntrees is formed on the screen.<\/li>\n
    4. Distance between central lines of the screen and holder stand is measured by a half
      \nmetre scale.<\/li>\n
    5. The distance gives the focal length of the convex lens about 15 cm.<\/li>\n
    6. Replace first lens by second convex lens of required power and repeat the steps from 2 to 5. This gives the focal length of second convex lens.<\/li>\n
    7. Now bring both lenses in contact and repeat the steps from 2 to 5. This gives the
      \ncombined focal length.<\/li>\n
    8. Determine the focal length with other given lens. Determine the focal length of about six of the convex lenses.<\/li>\n<\/ol>\n

      Calculations<\/strong><\/span>
      \n\"to
      \nFollowing combinations will be suitable.<\/strong>
      \n\"to<\/p>\n

      Verification<\/strong><\/span>
      \nThe above combinations may be tried and result verified.<\/p>\n

      Precautions<\/strong><\/span><\/p>\n

        \n
      1. Thin lenses should be taken.<\/li>\n
      2. Lenses should have same aperture.<\/li>\n<\/ol>\n

        Sources of error<\/strong><\/span><\/p>\n

          \n
        1. Lenses may not be thin.<\/li>\n
        2. Lens apertures may not be same.<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

          To obtain a lens combination with the specified focal length by using two lenses from the given set of lenses […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"to obtain a lens combination","_yoast_wpseo_title":"To obtain a lens combination with the specified focal length using two lens","_yoast_wpseo_metadesc":"Get To obtain a lens combination with the specified focal length by using two lenses from the given set of lenses at infinity learn.","custom_permalink":"study-material\/to-obtain-a-lens-combination-with-the-specified-focal-length-by-using-two-lenses-from-the-given-set-of-lenses\/"},"categories":[4,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"\nTo obtain a lens combination with the specified focal length using two lens<\/title>\n<meta name=\"description\" content=\"Get To obtain a lens combination with the specified focal 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