Medium
The images show the ray diagrams of images formed by convex mirrors. $P$ is the pole of the mirror. $C$ is the centre of curvature. $F$ is the focus. $AB$ is the object and $A'B'$ is the image.
$5$. Which statements are supported by the two diagrams? Circle 'Yes' or 'No' for each statement.
Is the statement supported by the two diagrams? Yes/No Convex mirrors produce virtual images Yes/No Convex mirrors produce erect images Yes/No Convex mirrors have their focus behind the mirrors Yes/No
$6$. Which of these is a convex mirror?
$A$. Shaving mirror
$B$. Dentist’s mirror
$C$. Headlight mirror of a bike
$D$. Rear-view mirror of a car
$7$. A mirror magnifies the image of an object by $-1.5$ times. Which of the following is true about the image produced by the mirror?
$A$. The image is real and larger than the object.
$B$. The image is real and smaller than the object.
$C$. The image is virtual and larger than the object.
$D$. The image is virtual and smaller than the object.
$5$. Which statements are supported by the two diagrams? Circle 'Yes' or 'No' for each statement.
| Is the statement supported by the two diagrams? | Yes/No |
| Convex mirrors produce virtual images | Yes/No |
| Convex mirrors produce erect images | Yes/No |
| Convex mirrors have their focus behind the mirrors | Yes/No |
$6$. Which of these is a convex mirror?
$A$. Shaving mirror
$B$. Dentist’s mirror
$C$. Headlight mirror of a bike
$D$. Rear-view mirror of a car
$7$. A mirror magnifies the image of an object by $-1.5$ times. Which of the following is true about the image produced by the mirror?
$A$. The image is real and larger than the object.
$B$. The image is real and smaller than the object.
$C$. The image is virtual and larger than the object.
$D$. The image is virtual and smaller than the object.
(N/A) $5$. All statements are supported by the diagrams:
- Convex mirrors produce virtual images: Yes (the rays appear to diverge from behind the mirror).
- Convex mirrors produce erect images: Yes (the image $A'B'$ is upright).
- Convex mirrors have their focus behind the mirrors: Yes (the focus $F$ is located behind the reflecting surface).
$6$. $D$. Rear-view mirror of a car (Convex mirrors provide a wider field of view).
$7$. $A$. The magnification $m = -1.5$. Since $m$ is negative, the image is real and inverted. Since $|m| = 1.5 > 1$, the image is larger than the object. Thus, the image is real and larger than the object.
- Convex mirrors produce virtual images: Yes (the rays appear to diverge from behind the mirror).
- Convex mirrors produce erect images: Yes (the image $A'B'$ is upright).
- Convex mirrors have their focus behind the mirrors: Yes (the focus $F$ is located behind the reflecting surface).
$6$. $D$. Rear-view mirror of a car (Convex mirrors provide a wider field of view).
$7$. $A$. The magnification $m = -1.5$. Since $m$ is negative, the image is real and inverted. Since $|m| = 1.5 > 1$, the image is larger than the object. Thus, the image is real and larger than the object.
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