The focal length of lens is 5.0cm. How far from the lens must the opbject be placed to produce an image 1.5cm from the lens
1/d(object) +1/d(image) = 1/F
DATA? f=5,0cm......di=1,5cm....do=?......therefore 1/f=1/do+1/di . ' .1/do=1/f-1/di=-7/15 . ' .do=-2,14 (the distance is negative that means the object is placed behind the lense)
I dont kmnowv thev answer .
To find the distance at which an object must be placed from a lens to produce a specific image distance, you can use the lens formula. The lens formula is given by:
1/f = 1/v - 1/u
Where,
f = focal length of the lens
v = image distance
u = object distance
In this case, we know the focal length (f = 5.0 cm) and the image distance (v = 1.5 cm). We need to find the object distance (u).
Substituting the values into the lens formula:
1/5 = 1/1.5 - 1/u
1/5 = (2/3) - 1/u
Multiplying through by 15u, we get:
3u = 10u - 15
Rearranging the equation:
10u - 3u = 15
7u = 15
u = 15/7
Therefore, the object should be placed approximately 2.14 cm (to two decimal places) from the lens to produce an image 1.5 cm from the lens.