All of the following statements are correct except:
(a) The magnification produced by a convex mirror is always less than one.
(b) A virtual, erect, same-sized image can be obtained using a plane mirror.
(c) A virtual, erect, magnified image can be formed using a concave mirror.
(d) A real, inverted, same-sized image can be formed using a convex mirror.
The Correct Answer and Explanation is :
Correct Answer:
(d) A real, inverted, same-sized image can be formed using a convex mirror.
Explanation:
To understand why option (d) is incorrect, let’s analyze each statement carefully:
(a) The magnification produced by a convex mirror is always less than one. ✅
- A convex mirror always forms a virtual, erect, and diminished image, regardless of the position of the object.
- The magnification (( m )) for a convex mirror is given by:
[
m = \frac{\text{image height}}{\text{object height}}
] - Since convex mirrors always produce smaller images, ( m ) is always less than 1, making this statement correct.
(b) A virtual, erect, same-sized image can be obtained using a plane mirror. ✅
- A plane mirror always forms a virtual, erect, and same-sized image as the object.
- The image is formed at the same distance behind the mirror as the object is in front of it.
- Since this is a fundamental property of plane mirrors, this statement is correct.
(c) A virtual, erect, magnified image can be formed using a concave mirror. ✅
- A concave mirror can produce a virtual, erect, and magnified image when the object is placed between the focal point (F) and the mirror.
- This is used in makeup mirrors or shaving mirrors to enlarge the image.
- Since this is a known property of concave mirrors, this statement is correct.
(d) A real, inverted, same-sized image can be formed using a convex mirror. ❌
- A convex mirror never forms a real image; it always forms a virtual and erect image.
- It also never forms a same-sized image, as the image is always diminished.
- Since the statement contradicts the properties of a convex mirror, it is incorrect.
Thus, the correct answer is (d).