Question

1. What is the formula for the magnification (m) of a thin lens?

a) m = f/(f - dₒ)
b) m = (f - dₒ)/f
c) m = f * dₒ
d) m = dₒ/f
2. In the magnification formula m = f/(f - dₒ), what does 'f' represent?
a) Image distance
b) Object distance
c) Focal length
d) Lens thickness

Answer 1

The magnification formula for a thin lens is m = f/(f - d₀), where 'f' represents the focal length. This formula expresses magnification in terms of the focal length and the object distance. It is derived by combining the lens equation with the magnification equation.

Step-by-step explanation:

The formula for the magnification (m) of a thin lens is given by m = f/(f - d₀), where 'f' represents the focal length of the lens, and 'd₀' is the object distance from the lens. This formula can be derived by combining the thin lens equation with the magnification equation. The magnification equation is m = -dᵢ/d₀, where 'dᵢ' represents the image distance, and 'd₀' is the object distance.

To determine the magnification, we require the image distance 'dᵢ', but if it's unavailable, we can find it using the lens equation 1/f = 1/d₀ + 1/dᵢ. After rearranging this equation to solve for 'dᵢ', we can substitute it into the magnification equation to eliminate 'dᵢ' and express magnification only in terms of focal length 'f' and object distance 'd₀'. This leads us to the formula for magnification, m = f/(f - d₀).