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An object is placed at distance of 15 cm from a diverging lens of focal length 6 cm . find the nature position of the image?
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An object is placed at distance of 15 cm from a diverging lens of foca...
Calculation of Image Position and Nature
- Given data:
- Object distance (u) = -15 cm (negative as it is on the opposite side of the lens)
- Focal length (f) = -6 cm (for a diverging lens, focal length is negative)
- Using the lens formula:
- 1/f = 1/v - 1/u
- Substituting the given values, we get:
- 1/-6 = 1/v - 1/-15
- -1/6 = 1/v + 1/15
- -1/6 - 1/15 = 1/v
- -5/30 - 2/30 = 1/v
- -7/30 = 1/v
- v = -30/7 cm
- Therefore, the image is formed at a distance of -30/7 cm from the lens.

Determination of Nature of Image
- Since the image distance (v) is negative, the image is formed on the same side as the object.
- The negative sign indicates that the image is virtual and upright.
- The diverging lens always forms virtual images that are diminished in size.
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