NECO 2002 Physics · Question 4
In the normal use of a simple microscope, a person sees an
Options
- A.erect, real and magnified image
- B.erect, virtual and magnified image
- C.inverted, virtual and magnified image
- D.inverted, real and magnified image
- E.inverted and real image the same size as the object
Answer: B. erect, virtual and magnified image
Explanation written with AI and checked against the answer key
1. Analyze the question We are asked about the type of image seen when using a simple microscope (a single converging lens used as a magnifying glass).
2. Explain the concept A simple microscope is one converging (convex) lens with a short focal length. For it to magnify, the object must be placed between the lens and its principal focus (u < f).
When an object is inside the focal length of a convex lens:
- The refracted rays diverge, so they never actually meet on the other side of the lens.
- The eye traces these rays backwards and sees them appear to come from a point on the same side as the object.
- This gives a virtual image, which cannot be caught on a screen.
- The image is erect (the same way up as the object).
- The image is magnified and farther from the lens than the object.
3. Step-by-step solution Using the lens formula 1/f = 1/u + 1/v (real-is-positive convention):
- Take f = 10 cm and u = 4 cm (u < f).
- 1/v = 1/f − 1/u = 1/10 − 1/4 = (2 − 5)/20 = −3/20
- v = −6.67 cm
The negative sign means the image is virtual.
Magnification: m = v/u = 6.67/4 ≈ 1.67 (the image is bigger than the object). It is positive, so the image is erect.
4. Check the options
- A. Erect, real, magnified: wrong, an erect image from a single lens is never real.
- B. Erect, virtual, magnified: correct.
- C. Inverted, virtual, magnified: wrong, the virtual image here is not inverted.
- D. Inverted, real, magnified: this describes a projector or the objective lens of a compound microscope, not a simple microscope.
- E. Inverted, real, same size: this happens when u = 2f, not in a magnifying glass.
5. Exam tip Remember: "Magnifying glass = object inside f = Virtual, Erect, Magnified." A real image can be projected onto a screen, while a virtual image can only be seen by looking through the lens. For any single convex lens, if the image is erect, it must be virtual.
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