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What type of image is formed by a lens if [tex]m = -0.87[/tex]?

A. The image is smaller than the object and is real.
B. The image is smaller than the object and is virtual.
C. The image is larger than the object and is virtual.
D. The image is larger than the object and is real.

Sagot :

GinnyAnsweridn
To determine the type of image formed by a lens, we need to consider two key aspects: the magnification factor [tex]\( m \)[/tex] and its sign.

1. Magnification [tex]\( m \)[/tex]:
- If [tex]\(|m| > 1\)[/tex], the image is larger than the object.
- If [tex]\(|m| < 1\)[/tex], the image is smaller than the object.

2. Sign of Magnification:
- A positive magnification ([tex]\( m > 0 \)[/tex]) indicates that the image is upright and virtual.
- A negative magnification ([tex]\( m < 0 \)[/tex]) indicates that the image is inverted and real.

Given:
- [tex]\( m = -0.87 \)[/tex]

Let's analyze this:
1. Size of the Image:
- The absolute value of [tex]\( m \)[/tex] is [tex]\( |m| = 0.87 \)[/tex].
- Since [tex]\( 0.87 < 1 \)[/tex], the image is smaller than the object.

2. Nature of the Image:
- [tex]\( m \)[/tex] is negative ([tex]\( m = -0.87 \)[/tex]), indicating that the image is inverted.
- An inverted image formed by a lens is a real image.

Hence, combining these observations, we can conclude that:
- The image formed is smaller than the object.
- The image is real.

Therefore, the correct answer is:
A. The image is smaller than the object and is real.
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