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A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed?
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A6 CM tall object is placed perpendicular to the principal axis of a c...
Given Data
- Height of the object (h) = 6 cm
- Focal length of the concave mirror (f) = -12 cm (concave mirrors have negative focal lengths)
- Distance of the object from the mirror (u) = -16 cm (object distance is negative in mirror formula)
Mirror Formula
The mirror formula is given by:
1/f = 1/v + 1/u
Where:
- f = focal length
- v = image distance
- u = object distance
Calculating Image Distance (v)
- Plugging the values into the mirror formula:
1/-12 = 1/v + 1/-16
- Rearranging gives:
1/v = 1/-12 + 1/16
- Finding a common denominator (48):
1/v = -4/48 + 3/48
1/v = -1/48
- Thus, v = -48 cm
Position of the Image
- The negative sign indicates that the image is formed on the same side as the object.
Nature of the Image
- Since the image distance (v) is negative and the object is placed before the mirror, the image is:
- Real
- Inverted
Calculating Size of the Image (h')
- The magnification (m) is given by the formula:
m = h'/h = -v/u
- Plugging in the values:
m = -(-48)/(-16) = 3
- Thus, h' = m * h = 3 * 6 = 18 cm
Final Summary
- Position of the Image: 48 cm in front of the mirror
- Nature of the Image: Real and inverted
- Size of the Image: 18 cm
This detailed analysis shows how a concave mirror forms an image of an object placed in front of it, using the mirror formula effectively.
- Height of the object (h) = 6 cm
- Focal length of the concave mirror (f) = -12 cm (concave mirrors have negative focal lengths)
- Distance of the object from the mirror (u) = -16 cm (object distance is negative in mirror formula)
Mirror Formula
The mirror formula is given by:
1/f = 1/v + 1/u
Where:
- f = focal length
- v = image distance
- u = object distance
Calculating Image Distance (v)
- Plugging the values into the mirror formula:
1/-12 = 1/v + 1/-16
- Rearranging gives:
1/v = 1/-12 + 1/16
- Finding a common denominator (48):
1/v = -4/48 + 3/48
1/v = -1/48
- Thus, v = -48 cm
Position of the Image
- The negative sign indicates that the image is formed on the same side as the object.
Nature of the Image
- Since the image distance (v) is negative and the object is placed before the mirror, the image is:
- Real
- Inverted
Calculating Size of the Image (h')
- The magnification (m) is given by the formula:
m = h'/h = -v/u
- Plugging in the values:
m = -(-48)/(-16) = 3
- Thus, h' = m * h = 3 * 6 = 18 cm
Final Summary
- Position of the Image: 48 cm in front of the mirror
- Nature of the Image: Real and inverted
- Size of the Image: 18 cm
This detailed analysis shows how a concave mirror forms an image of an object placed in front of it, using the mirror formula effectively.
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A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed?
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A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of 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 A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed?.
A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of 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 A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A6 CM tall object is placed perpendicular to the principal axis of a concave mirror of focal length 12 CM the distance of the objective from the pole of a mirror is 16 cm use mirror formula to find the position nature and the size of the image of formed?.
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