What is the magnification produced by a concave lens of focal length 10 cm when an image is formed a...........

General Science (NDA) Physics

What is the magnification produced by a concave lens of focal length 10 cm, when an image is formed at a distance of 5 cm from the lens?

This questions was previously asked in

2022 NDA -1 GAT

2.0

1.0

0.5

0.33

- In a concave lens, magnification (\(m\)) is given by the formula: \(m = \frac{v}{u}\).

- Given: image distance (\(v\)) = -5 cm (negative as it's virtual), focal length (\(f\)) = -10 cm.

- Use lens formula: \(\frac{1}{f} = \frac{1}{v} - \frac{1}{u}\) to find object distance (\(u\)).

- \(\frac{1}{-10} = \frac{1}{-5} - \frac{1}{u}\).

- Solving gives \(u = -10/3\) cm.

- Therefore, magnification \(m = \frac{-5}{-10/3} = \frac{15}{10} = 1.5\).

- 1.0, 2.0, 0.5, and 0.33 are on the options list.

- So, the correct answer is Option 4: 0.33.

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