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A short object of length L is placed alo...

A short object of length `L` is placed along the principal axis of a concave mirror aeay from focus. The object distance is `u`. If the mirror has a focal length `f`, what will be the length of the image ? You may take `L lt lt | v - f |`.

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AI Generated Solution

To solve the problem of finding the length of the image formed by a concave mirror for a short object of length \( L \) placed along the principal axis, we can follow these steps: ### Step 1: Understanding the Setup We have a concave mirror with a focal length \( f \). The object is placed at a distance \( u \) from the mirror, and the length of the object is \( L \). We need to find the length of the image formed by this mirror. ### Step 2: Define Object Points Since the object has a length \( L \), we can define two points on the object: - The first point \( U_1 \) is at a distance \( u - \frac{L}{2} \) from the mirror (the left end of the object). ...
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Knowledge Check

  • An object of length 6 cm is placed on the principle axis of a concave mirror of focal length f at a distance of 4 f . The length of the image will be

    A
    2 cm
    B
    12 cm
    C
    4 cm
    D
    1.2 cm

  • A short linear object of length / lies along the axis of a concave mirror of focal length f at a distance d from the pole of the mirror. The approximate size of the image is

    A
    `(If)/((d+f))`
    B
    `(d+f)/(fI)`
    C
    `(If^(2))/((d+f)^(2))`
    D
    `(I(d+f)^(2))/(f^(2))`

  • An object is placed on the principal axis of a concave mirror at a distance of 1.5 f(f is the focal length). The image will be at,

    A
    1.5f
    B
    `-1.5f`
    C
    3f
    D
    `-3f`

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