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a beam of light incident parallel to the principal axis of a concave lens appears to diverge from a point 20cm behind the lens. after refraction through the lens calculate the power of the lens
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Calculation of Power of the Concave Lens:
1. Given Data:
- Distance of the point from which the light appears to diverge = 20 cm
- Focal length of the lens = f cm
2. Using Lens Formula:
- 1/f = 1/v - 1/u
- Since the incident light is parallel to the principal axis, u = ∞
- v = -20 cm (negative sign indicates that the image is virtual)
- 1/f = -1/20
- f = -20 cm
3. Calculation of Power:
- Power of a lens is given by the formula P = 1/f
- Substituting the value of f, we get P = 1/-20 = -1/20 diopters
4. Interpretation:
- The negative sign indicates that the lens is a concave lens.
- The power of the concave lens is 1/20 diopters.
Therefore, the power of the concave lens through which the light beam diverges from a point 20 cm behind the lens is calculated to be -1/20 diopters. This indicates that the concave lens has a focal length of -20 cm and is diverging in nature.
1. Given Data:
- Distance of the point from which the light appears to diverge = 20 cm
- Focal length of the lens = f cm
2. Using Lens Formula:
- 1/f = 1/v - 1/u
- Since the incident light is parallel to the principal axis, u = ∞
- v = -20 cm (negative sign indicates that the image is virtual)
- 1/f = -1/20
- f = -20 cm
3. Calculation of Power:
- Power of a lens is given by the formula P = 1/f
- Substituting the value of f, we get P = 1/-20 = -1/20 diopters
4. Interpretation:
- The negative sign indicates that the lens is a concave lens.
- The power of the concave lens is 1/20 diopters.
Therefore, the power of the concave lens through which the light beam diverges from a point 20 cm behind the lens is calculated to be -1/20 diopters. This indicates that the concave lens has a focal length of -20 cm and is diverging in nature.
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