A converging lens of focal length 5cm forms a visual image which is 10cm from the lens, how far from the lens is the object

Answer 1

To find the distance of the object from the lens, we can use the lens formula:

1/f = 1/v - 1/u

Where:
f = focal length (in meters) = 5 cm = 0.05 m
v = distance of the image from the lens (in meters) = 10 cm = 0.1 m
u = distance of the object from the lens (unknown)

Let's substitute these values in the formula:

1/0.05 = 1/0.1 - 1/u

20 = 10 - 1/u

1/u = 10 - 20

1/u = -10

To isolate u, we take the reciprocal of both sides:

u = -1/10

Therefore, the object is located 0.1 m or 10 cm away from the converging lens.