The length of a pin-hole camera is 10cm. If an object is placed at a distance of 50cm from it, calculate the magnification of the camera
Answers
Answer:
The given quantities are
Height of the object h = 50 cm
Height of the image formed h’ = -20 cm
Image distance v = 10 cm
The image distance is the distance between the position of convex lens and the position where the image is formed.
The ‘focal length’ of a convex lens can be found using the below formula
Here f is the focal length, v is the image distance which is known to us and u is the object distance.
The object distance is the distance between the ‘object position’ and the lens position. To determine the focal length, first we should find the object distance.
From the magnification equation, we know that
Thus,
So, the object distance will be
So the focal length will be
Thus the focal length of the convex lens is 7.14 cm
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