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Calculate focal length of spherical mirror from the fall observation u=(50.1±05) and v= (20.1±0.2)?
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Calculate focal length of spherical mirror from the fall observation u...
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Calculate focal length of spherical mirror from the fall observation u...
Calculating Focal Length of Spherical Mirror
- Given values:
- Object distance, u = (50.1 ± 0.5) cm
- Image distance, v = (20.1 ± 0.2) cm
- The mirror formula for spherical mirrors is:
- 1/f = 1/u + 1/v
- Substituting the given values into the formula:
- 1/f = 1/50.1 + 1/20.1
- Calculating the inverse values:
- 1/f = 0.019960 + 0.049751
- 1/f = 0.069711
- Finding the focal length:
- f = 1 / 0.069711
- f ≈ 14.35 cm

Explanation:
- The focal length of a spherical mirror is the distance between the focal point and the mirror's surface.
- In this case, the object distance (u) and image distance (v) are given with uncertainties.
- By using the mirror formula and substituting the values, we can calculate the focal length of the mirror.
- The focal length obtained is approximately 14.35 cm.
- This value represents the point where parallel rays of light converge or appear to diverge after reflecting from the mirror.
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Calculate focal length of spherical mirror from the fall observation u=(50.1±05) and v= (20.1±0.2)?
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