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The mirror in part (c) is replaced by a convex mirror of focal length 50 cm. Calculate theposition and magnification of the image

Question

The mirror in part (c) is replaced by a convex mirror of focal length 50 cm. Calculate theposition and magnification of the image

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Solution

To solve this problem, we will use the mirror equation and the magnification equation.

  1. The mirror equation is 1/f = 1/v + 1/u.

    Here, f is the focal length of the mirror, v is the image distance, and u is the object distance.

    For a convex mirror, the focal length is negative. So, f = -50 cm.

    Let's assume the object distance (u) is positive, which is a standard convention.

  2. We need to solve the mirror equation for v (the image distance).

    Rearranging the mirror equation gives us 1/v = 1/f - 1/u.

    We don't have a value for u in the problem, so we can't calculate a numerical value for v without more information.

  3. The magnification equation is m = -v/u.

    Again, without a value for u, we can't calculate a numerical value for the magnification.

In conclusion, without the object distance (u), we can't calculate the image distance or the magnification. If you have a value for u, you can substitute it into the equations in steps 2 and 3 to find v and m.

This problem has been solved

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