If the distance between the object and the image formed by a lens is 70 cm, and

If the distance between the object and the image formed by a lens is 70 cm, and the object distance is 30 cm, what is the image distance?

If the distance between the object and the image formed by a lens is 70 cm, and the object distance is 30 cm, what is the image distance?

Step 1: Identify the given information. We know the object distance (u) is 30 cm and the distance between the object and the image is 70 cm.
Step 2: Understand the relationship between object distance, image distance, and the distance between them. The formula is: Image distance (v) = Object distance (u) + Distance between object and image.
Step 3: Substitute the known values into the formula. We have u = 30 cm and the distance between the object and image = 70 cm.
Step 4: Calculate the image distance. So, v = 30 cm + 70 cm.
Step 5: Perform the addition. 30 cm + 70 cm = 100 cm.
Step 6: Conclude that the image distance (v) is 100 cm.

Lens Formula – Understanding the relationship between object distance, image distance, and the distance between the object and the image.
Sign Convention – Applying the correct sign conventions for object distance and image distance in lens equations.