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An object 2 cm high is placed at a distance of 15 cm from a concave mirror which produces an inverted image 4 cm high. Find the position of the image.
- a)-30 cm
- b)30 cm
- c)40 cm
- d)-40 cm
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An object 2 cm high is placed at a distance of 15 cm from a concave mi...
The magnification produced by a concave mirror is given by the formula:
m = -v/u
where, m = magnification v = image distance u = object distance
From the problem, we have: u = -15 cm (since the object is placed in front of the mirror, the distance is negative) m = -4/2 = -2 (since the image is inverted and 4 cm high whereas the object is 2 cm high)
Substituting these values in the magnification formula, we get:
-2 = -v/(-15)
Simplifying, we get:
v = 30 cm
Therefore, the position of the image is 30 cm from the concave mirror.
Most Upvoted Answer
An object 2 cm high is placed at a distance of 15 cm from a concave mi...
Given:
Height of object (h1) = 2 cm
Distance of object (u) = -15 cm (as it is in front of mirror)
Height of image (h2) = -4 cm (as it is inverted)
Formula used:
Mirror formula:
1/f = 1/v + 1/u
Magnification formula:
m = -v/u = h2/h1
Calculation:
Using the magnification formula:
m = -v/u = h2/h1
⇒ -v/-15 = -4/2
⇒ v = -30 cm (as v is negative, it means the image is formed behind the mirror)
Therefore, the position of the image is 30 cm from the concave mirror, which is option B.
Height of object (h1) = 2 cm
Distance of object (u) = -15 cm (as it is in front of mirror)
Height of image (h2) = -4 cm (as it is inverted)
Formula used:
Mirror formula:
1/f = 1/v + 1/u
Magnification formula:
m = -v/u = h2/h1
Calculation:
Using the magnification formula:
m = -v/u = h2/h1
⇒ -v/-15 = -4/2
⇒ v = -30 cm (as v is negative, it means the image is formed behind the mirror)
Therefore, the position of the image is 30 cm from the concave mirror, which is option B.
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An object 2 cm high is placed at a distance of 15 cm from a concave mi...
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An object 2 cm high is placed at a distance of 15 cm from a concave mirror which produces an inverted image 4 cm high. Find the position of the image.a)-30 cmb)30 cmc)40 cmd)-40 cmCorrect answer is option 'B'. Can you explain this answer?
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