if an object of 5 cm height is placed at a distance of 15 cm from a convex lens of focal length 10 cm find the position nature and height of
Question
if an object of 5 cm height is placed at a distance of 15 cm from a convex lens of focal length 10 cm find the position nature and height of
Solution 1
The question seems to be incomplete. However, I assume you're asking for the position, nature, and height of the image formed by the convex lens.
We can use the lens formula to solve this:
1/v - 1/u = 1/f
Where: v = image distance u = object distance f = focal length
Given: u = -15 cm (we take it as negative because the object is on the same side of the light source) f = 10 cm
Substituting these values into the lens formula:
1/v - (-1/15) = 1/10 1/v = 1/10 + 1/15 1/v = (3 + 2) / 30 1/v = 5/30 1/v = 1/6
So, v = 6 cm. The positive sign indicates that the image is formed on the opposite side of the light source.
Next, we can find the height of the image using the magnification formula:
magnification, m = -v/u = image height/object height
Substituting the given values:
m = -6/-15 = image height/5 image height = 5 * (6/15) = 2 cm
The positive sign indicates that the image is erect.
So, the image is formed 6 cm from the lens, on the opposite side of the light source. The image is erect and 2 cm in height.
Solution 2
The language you're asking for isn't specified in your request. Could you please provide more details?
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