The focal length of a convex lens is f. An object is placed at a distance x from its first focal point. Find the ratio of the distance of the real image to that of the object from the pole.
Answers
Answer:
The lens formula is 1v−1u=1f, where v,u and f are the distance of the image and the distance of the object from the pole of the lens and the focal length respectively.
As per the new Cartesian convention, distances from the lens toward the side of the object are negative and distances toward the other side are positive. Distances above the principal axis are positive and distances below the principal axis are negative.
It is given that the image is real.
⇒ The distance of the object from the lens is greater than the focal length.
The first focal point is that which is on the side of the object.
It is given that the object is placed at a distance x(x>0) from its first focal point.
⇒|u|=f+x⇒u=−(f+x)
1v−1u=1f⇒1v=1f+1u=1f−1f+x.
⇒1v=xf(f+x)⇒v=f(f+x)x.
⇒vu=f(f+x)x×1f+x=fx.
⇒ The ratio of the distance of the real image to that of the object from the pole is fx.
Explanation:
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Answer:
the answer is -f/x
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