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Explain total magnification in microscopy and prove MT = ML x MO where MT is total magnification, ML is objective lens magnification, and MO is ocular lens magnification.

Physics

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Here's the solution to question 6:

a) To prove MT=ML×MOM_T = M_L \times M_O:

  1. Define the terms.

    • MTM_T represents the total magnification of the microscope.
    • MLM_L represents the magnification of the objective lens.
    • MOM_O represents the magnification of the ocular lens (eyepiece).
  2. Explain the image formation process.

    When an object is placed under a microscope, the objective lens first forms a magnified, real, and inverted intermediate image. This intermediate image is then viewed by the ocular lens.

  3. Explain the combined effect.

    The ocular lens acts like a simple magnifier, further enlarging the intermediate image produced by the objective lens. Therefore, the total magnification observed is the product of the magnification provided by the objective lens and the magnification provided by the ocular lens.

    MT=ML×MOM_T = M_L \times M_O

    b) Magnification in microscopy refers to the process of enlarging the apparent size of an object, making small details that are otherwise invisible to the naked eye become discernible. It quantifies how many times larger the image appears compared to the actual size of the object. This is achieved by a system of lenses (objective and ocular) that bend light to create a larger image.

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