1)A convex mirror of focal length 10 cm forms an upright and magnified image of a real object placed at a distance of 20 cm from the mirror.
false
2)A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed at a distance of cm from the mirror.
false
1. Correct. False. Convex mirrors do not form real images of real objects.
1/20 + 1/di = -1/10
1/di = -3/20 di = --6.7 (behind the mirror, demagnified.
2. You left out the position of the object. If the object is outside 10 cm, the image is real and inverted. If the object is inside 10 cm, the image is virtual, behind the mirror, upright and magnified. So it's false no matter where the object is.
Your answers are both correct, but you omitted part of the second question.
1) False. A convex mirror always forms virtual, upright, and diminished images of objects, regardless of the object's position.
2) False. A concave mirror can form either an upright and magnified image or an inverted and diminished image of a real object, depending on the object's position relative to the focal point of the mirror.
To determine the correctness of the given statements about convex and concave mirrors, let's first understand the basic properties of these mirrors and the formation of images.
1) Convex Mirror:
- Convex mirrors are curved outward, causing outgoing light rays to diverge.
- They always produce virtual images (no real intersection point of light rays).
- Images formed by convex mirrors are always upright and diminished (smaller than the actual object).
2) Concave Mirror:
- Concave mirrors are curved inward, causing incoming light rays to converge.
- They can produce both real and virtual images, depending on the object's position.
- Real images occur when the object is placed beyond the focal point, while virtual images occur when the object is placed between the mirror and the focal point.
- The size of the image formed by a concave mirror can be either magnified or diminished, depending on the object's position.
Now let's analyze each statement and determine their correctness:
1) A convex mirror of focal length 10 cm forms an upright and magnified image of a real object placed at a distance of 20 cm from the mirror. (False)
- Since convex mirrors always produce upright and diminished images, the statement is false. The image formed by a convex mirror would be upright but smaller (diminished) than the actual object.
2) A concave mirror of focal length 10 cm forms an upright and diminished image of a real objects placed at a distance of cm from the mirror. (False)
- The statement is incomplete as the distance of the object from the mirror is missing. However, regardless of the object's position, concave mirrors can produce both upright and magnified images (beyond the focal point) or inverted and diminished images (between the mirror and the focal point). Therefore, the statement is false in general terms.
It's important to understand the properties and rules governing the behavior of convex and concave mirrors to accurately determine the characteristics of the images formed.