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

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Question: 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?

Options:

  1. 40 cm
  2. 50 cm
  3. 60 cm
  4. 70 cm

Correct Answer: 40 cm

Solution: 

Image distance (v) = Object distance (u) + Distance between object and image = 30 cm + 70 cm = 40 cm.

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

Practice Questions

Q1
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?
  1. 40 cm
  2. 50 cm
  3. 60 cm
  4. 70 cm

Questions & Step-by-Step Solutions

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.
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