A converging lens of focal length 10cm forms a real image at a distance of 40cm from the lens.determine the object distance

Answer 1

To calculate the object distance, we can use the lens formula:

1/f = 1/v - 1/u

Where:
f = focal length of the lens (10 cm)
v = image distance (40 cm)
u = object distance

Plugging in the values:

1/10 = 1/40 - 1/u

Now, solve for u:

1/u = 1/40 - 1/10
1/u = (1 - 4) / 40
1/u = -3 / 40

u = -40 / 3

Therefore, the object distance is -13.33 cm. This negative sign indicates that the object is located on the same side of the lens as the light source.