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What happens to the image distance when the object distance is doubled in a conc

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Question: What happens to the image distance when the object distance is doubled in a concave mirror? (2023)

Options:

  1. It remains the same
  2. It doubles
  3. It triples
  4. It halves

Correct Answer: It doubles

Exam Year: 2023

Solution: 

In a concave mirror, if the object distance is doubled, the image distance also changes according to the mirror formula, leading to a doubling effect.

What happens to the image distance when the object distance is doubled in a conc

Practice Questions

Q1
What happens to the image distance when the object distance is doubled in a concave mirror? (2023)
  1. It remains the same
  2. It doubles
  3. It triples
  4. It halves

Questions & Step-by-Step Solutions

What happens to the image distance when the object distance is doubled in a concave mirror? (2023)
  • Step 1: Understand the mirror formula, which is 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance.
  • Step 2: Identify the initial object distance (do) and calculate the initial image distance (di) using the mirror formula.
  • Step 3: Double the object distance (do) to get the new object distance (do').
  • Step 4: Substitute the new object distance (do') into the mirror formula to find the new image distance (di').
  • Step 5: Compare the new image distance (di') with the original image distance (di) to see how it has changed.
  • Mirror Formula – The relationship between object distance (u), image distance (v), and focal length (f) in concave mirrors, given by the formula 1/f = 1/v + 1/u.
  • Image Formation – Understanding how changes in object distance affect image distance and characteristics (real/virtual, upright/inverted).
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