an object of size 10cm is placed at a distance of 6cm fram a diverging lense of focal length 10cm.find nature,size and position of the image
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Given :
Size of object = 10cm
Distance of object = 6cm
Focal length of lens = 10cm
Type of lens : concave
To Find :
Position, nature and size of the image.
Solution :
❖ Focal length of concave lens is taken negative and that of convex lens is taken positive.
- Distance of image can be calculated by using lens formula
➙ 1/v - 1/u = 1/f
- v denotes distance of image
- u denotes distance of object
- f denotes focal length
By substituting the given values;
➙ 1/v - 1/(-6) = 1/(-10)
➙ 1/v = -1/10 - 1/6
➙ 1/v = (-6 - 10) / 60
➙ 1/v = -16/60
➙ v = -60/16
➙ v = -3.75 cm
♦ Size of image :
➙ m = v/u = h'/h
- h' denotes size of image
- h denotes size of object
➙ (-3.75)/(-6) = h'/10
➙ h' = 0.625 × 10
➙ h' = 6.25 cm
♦ Nature of image :
- Virtual
- Erect
- Small
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