A student places a candle at a distance greater than twice the focal length from a convex lens. She observes the image formed on a screen. Which of the following best describes the image's nature, position, and size?
The image is real, inverted, formed between the focal point and twice the focal length, and smaller than the object.
For a thin convex lens, the nature, size and position of the image depend on where the object is placed relative to the focal point F and the centre of curvature (at distance 2F). The image forming on a screen is the key clue: only a real image can actually be caught on a screen, so the answer must be a real image.
When the object is placed beyond 2F, the ray diagram (or the lens formula \(\dfrac{1}{v} - \dfrac{1}{u} = \dfrac{1}{f}\)) shows the image forming on the far side of the lens, between F and 2F. The image is real, inverted, and diminished (smaller than the object).
Hence, the image is real, inverted, formed between the focal point and twice the focal length, and smaller than the object.
A virtual image at the focal point of the same size is not a standard convex-lens case and cannot be caught on a screen. An erect, same-size real image beyond 2F is impossible because a convex lens always inverts a real image. A virtual, erect, magnified image on the object's side is what forms only when the object is placed inside the focal length (as in a magnifying glass), not beyond 2F.
Similar Questions
A ray of light enters a rectangular glass slab from air at an angle of 40 degrees to the normal. If the refractive index of glass with respect to air is 1.5 and the velocity of light in air is \(3 \times 10^{8}\) m/s, what is the velocity of light inside the glass slab?
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A ray passing through the principal focus of a concave mirror will, after reflection:
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During an experiment, a student places a candle beyond twice the focal length of a convex lens and records the image position and nature. Which of the following scenarios could result from this setup?
A student places an object 15 cm in front of a concave mirror of focal length 10 cm. If the image formed is real, what is the magnification produced by the mirror?
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Which of the following statements is FALSE for a converging lens?
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Important Questions from Refraction and Reflection
- How can you identify a concave and a convex mirror based on the direction of their reflecting surfaces?
- Stars appear to twinkle in the night sky because ______.
What type of image is always formed by a concave lens, no matter where the object is placed?
- Which of the following is NOT caused by atmospheric refraction?
- According to the sign convention, the height of an erect image formed by a mirror is taken as:
