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Question 539 of 949

Which of the following statements best describes the role of a convex lens in an optical instrument?

  • It only diverges light rays, making objects appear smaller.
  • It focuses parallel light rays to a point, creating a real image.
  • It reflects light rays to form an image behind the lens.
  • It has no effect on the convergence or divergence of light rays.

Correct Answer: B

Explanation
The correct option is **B. It focuses parallel light rays to a point, creating a real image.** ### Detailed Explanation: 1. **Understanding Convex Lenses:** - A convex lens, also known as a converging lens, is thicker in the middle than at the edges. Its primary function is to bend (refract) light rays that pass through it. - When parallel light rays (such as those coming from a distant object) enter a convex lens, they are refracted towards the center of the lens and converge at a point known as the **focal point**. 2. **Focal Point and Image Formation:** - The distance from the center of the lens to the focal point is called the **focal length**. The focal point is where the light rays converge after passing through the lens. - If an object is placed beyond the focal point, the lens will produce a real image on the opposite side of the lens. This image can be projected onto a screen and is inverted (upside down) compared to the object. 3. **Why Option B is Correct:** - Option B accurately describes the primary function of a convex lens: it focuses parallel light rays to a point (the focal point), resulting in the formation of a real image. This is a fundamental principle in optics and is utilized in various optical instruments like cameras, projectors, and magnifying glasses. ### Why the Other Options are Incorrect: - **Option A: It only diverges light rays, making objects appear smaller.** - This statement is incorrect because a convex lens does not diverge light rays; it converges them. Diverging lenses are concave lenses, which spread light rays apart and can make objects appear smaller. Therefore, this option misrepresents the function of a convex lens. - **Option C: It reflects light rays to form an image behind the lens.** - This option is misleading because convex lenses do not reflect light; they refract it. Reflection occurs in mirrors, not lenses. While a convex lens can create images on the opposite side of the lens, it does so through refraction, not reflection. - **Option D: It has no effect on the convergence or divergence of light rays.** - This statement is false because the primary role of a convex lens is to change the path of light rays. It significantly affects the convergence of light rays by bending them towards the focal point. Thus, this option contradicts the fundamental behavior of lenses. ### Formulas and Concepts: - **Lens Formula:** \[ \frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i} \] Where: - \( f \) = focal length of the lens - \( d_o \) = object distance (distance from the object to the lens) - \( d_i \) = image distance (distance from the image to the lens) - **Magnification (m):** \[ m = \frac{h_i}{h_o} = -\frac{d_i}{d_o} \] Where: - \( h_i \) = height of the image - \( h_o \) = height of the object ### Common Pitfalls: - Confusing convex lenses with concave lenses, which have opposite effects on light rays. - Misunderstanding the nature of the images formed (real vs. virtual). - Forgetting to apply the lens formula correctly when solving problems related to lenses. ### Revision Summary: - A convex lens converges parallel light rays to a focal point, forming a real image. - Real images are inverted and can be projected onto a screen. - Convex lenses are used in various optical devices, while concave lenses diverge light. - Always remember the lens formula and the concept of magnification when solving lens-related problems.
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