A lens forms a real image that is twice the size of the object. If the object di

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Question: A lens forms a real image that is twice the size of the object. If the object distance is 10 cm, what is the image distance? (2021)

Options:

Correct Answer: 20 cm

Exam Year: 2021

Solution:

Using the magnification formula m = -v/u, where m = 2 and u = -10 cm, we find v = -2 * (-10) = 20 cm.

A lens forms a real image that is twice the size of the object. If the object distance is 10 cm, what is the image distance? (2021)

A lens forms a real image that is twice the size of the object. If the object distance is 10 cm, what is the image distance? (2021)

Step 1: Understand the problem. We have a lens that creates a real image that is twice the size of the object.
Step 2: Identify the object distance (u). The object distance is given as 10 cm. Since we use the convention that object distance is negative, we write u = -10 cm.
Step 3: Use the magnification formula. The magnification (m) is given as 2 because the image is twice the size of the object. The formula is m = -v/u.
Step 4: Substitute the known values into the magnification formula. We have m = 2, u = -10 cm, so we write 2 = -v / (-10).
Step 5: Simplify the equation. This gives us 2 = v / 10.
Step 6: Solve for v (image distance). Multiply both sides by 10 to get v = 2 * 10 = 20 cm.
Step 7: Conclude that the image distance (v) is 20 cm.

Lens Formula – Understanding the relationship between object distance (u), image distance (v), and magnification (m) in lens systems.
Magnification – The ratio of the height of the image to the height of the object, which can also be expressed in terms of distances.