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An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.?
Most Upvoted Answer
An object is placed at a distance of 8 cm from a convex mirror of foca...
U=-8 cm
f=12cm
nature of image=?
v=?
by mirror formula-
1/f=1/v+1/u
1/12=1/v+1/-8
5/24=1/v
v=24/5
v=4.8cm
nature of the image is virtual erect and magnified
f=12cm
nature of image=?
v=?
by mirror formula-
1/f=1/v+1/u
1/12=1/v+1/-8
5/24=1/v
v=24/5
v=4.8cm
nature of the image is virtual erect and magnified
Community Answer
An object is placed at a distance of 8 cm from a convex mirror of foca...
Given:
Distance of the object, u = -8 cm
Focal length of the convex mirror, f = 12 cm
To find:
Position and nature of the image formed
Solution:
We know that the mirror formula is given by:
1/f = 1/v + 1/u
Where,
v = distance of the image from the mirror
Substituting the given values in the formula, we get:
1/12 = 1/v + 1/-8
Solving for v, we get:
v = -24 cm
The negative sign indicates that the image is formed behind the mirror.
Position of the image:
Distance of the image, v = -24 cm
The image is formed at a distance of 24 cm behind the mirror.
Nature of the image:
To determine the nature of the image, we use the mirror formula again.
1/f = 1/v + 1/u
Substituting the values of u and v, we get:
1/12 = 1/-24 + 1/-8
Simplifying the equation, we get:
1/12 = -1/24
Since the equation is not valid, we cannot determine the nature of the image.
Conclusion:
The image is formed at a distance of 24 cm behind the convex mirror. However, the nature of the image cannot be determined as the mirror formula is not valid.
Distance of the object, u = -8 cm
Focal length of the convex mirror, f = 12 cm
To find:
Position and nature of the image formed
Solution:
We know that the mirror formula is given by:
1/f = 1/v + 1/u
Where,
v = distance of the image from the mirror
Substituting the given values in the formula, we get:
1/12 = 1/v + 1/-8
Solving for v, we get:
v = -24 cm
The negative sign indicates that the image is formed behind the mirror.
Position of the image:
Distance of the image, v = -24 cm
The image is formed at a distance of 24 cm behind the mirror.
Nature of the image:
To determine the nature of the image, we use the mirror formula again.
1/f = 1/v + 1/u
Substituting the values of u and v, we get:
1/12 = 1/-24 + 1/-8
Simplifying the equation, we get:
1/12 = -1/24
Since the equation is not valid, we cannot determine the nature of the image.
Conclusion:
The image is formed at a distance of 24 cm behind the convex mirror. However, the nature of the image cannot be determined as the mirror formula is not valid.
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An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.?
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An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.?.
An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed at a distance of 8 cm from a convex mirror of focal length 12 cm. Find the position and nature of the image formed.?.
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