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QUESTION IMAGE

figure 1 shows a convex lens. match the term on the left with the appro…

Question

figure 1 shows a convex lens. match the term on the left with the appropriate location on the right.
figure 1

  1. (a) principal focus (i) w

(b) optical centre (ii) x
(c) principal axis (iii) y
(d) secondary principal focus (iv) z (131)
write a short answer to each of these questions.

Explanation:

Brief Explanations

To solve this, we recall the definitions of each term in the context of a convex lens:

  • Principal Focus (a): The point where parallel rays to the principal axis converge. For a convex lens, the principal focus on the right (secondary principal focus) is where parallel rays from the left converge. Looking at the diagram, the ray parallel to the principal axis (the dashed line) will converge at \( X \)? Wait, no, wait. Wait, the principal axis is the dashed line (c). The optical centre (b) is the center of the lens, which is \( W \)? Wait, no, let's re - establish:
  • Principal Axis (c): The horizontal dashed line (the line passing through the optical centre and perpendicular to the lens's plane), so it should match with (iii) \( Y \)? Wait, no, the diagram: the dashed line is the principal axis, so the term "principal axis" (c) should match with the dashed line, which is (iii) \( Y \)? Wait, maybe I misread. Let's list each term:
  • (a) Principal Focus: For a convex lens, the principal focus is the point where parallel rays to the principal axis converge. The ray coming parallel to the principal axis (the upper ray) will converge at \( X \)? Wait, no, the ray that is parallel to the principal axis (dashed line) will pass through the principal focus on the other side. Wait, the left side has a ray parallel to the principal axis, so on the right, it should converge at the principal focus. Looking at the points: \( X \) is on the vertical line, \( W \) is the center, \( Z \) is where the ray passes through the lens. Wait, maybe the correct matches are:
  • (a) Principal Focus: The point where parallel rays converge. The ray parallel to the principal axis (dashed line) will go through the principal focus. So if the ray is coming from the left, parallel to the principal axis, on the right, it should meet at \( X \)? So (a) - (ii) \( X \)
  • (b) Optical Centre: The center of the lens, which is \( W \), so (b) - (i) \( W \)
  • (c) Principal Axis: The dashed line (the horizontal line through the optical centre), so (c) - (iii) \( Y \)
  • (d) Secondary Principal Focus: Wait, no, the principal focus on the right (secondary) for a convex lens when the object is on the left. Wait, maybe the labels:
  • (a) Principal Focus: The focus, so the point \( X \) (since the ray parallel to principal axis goes to \( X \)), so (a) - (ii)
  • (b) Optical Centre: The center of the lens, which is \( W \), so (b) - (i)
  • (c) Principal Axis: The dashed line (the axis), so (c) - (iii)
  • (d) Secondary Principal Focus: Wait, no, maybe I made a mistake. Let's use the standard definitions:
  • Optical Centre (b): The central point of the lens, through which rays pass without deviation. In the diagram, \( W \) is the center, so (b) matches (i) \( W \).
  • Principal Axis (c): The straight line passing through the optical centre and perpendicular to the lens's surface, which is the dashed line (the horizontal line), so it matches (iii) \( Y \).
  • Principal Focus (a): The point where parallel rays to the principal axis converge. The ray coming parallel to the principal axis (the upper ray) will converge at \( X \), so (a) matches (ii) \( X \).
  • Secondary Principal Focus: Wait, no, the problem says "secondary principal focus" (d), but maybe it's a typo, and it's the principal focus on the right. But according to the options, (d) should match with (iv) \( Z…

Answer:

(a) - (ii) \( X \)

(b) - (i) \( W \)

(c) - (iii) \( Y \)

(d) - (iv) \( Z \)