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A spherical mirror has a focal length of 15 cm. Calculate its radius of curvature.

Physics

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Answer

30 cm\text{30 cm}

Step-by-step solution

3 steps
  1. Identify the given information.

    The focal length (ff) of the spherical mirror is given as 15 cm15 \text{ cm}.

  2. Recall the relationship between focal length and radius of curvature.

    For a spherical mirror, the radius of curvature (RR) is twice its focal length (ff).
    The formula is:

    R=2fR = 2f
  3. Substitute the given focal length into the formula and calculate the radius of curvature.

    R=2×15 cmR = 2 \times 15 \text{ cm} R=30 cmR = 30 \text{ cm}

    The radius of curvature (R) is 30 cm30 \text{ cm}.

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