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Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image?
Verified Answer
Object of height 6cm is placed at a distance of 20cm from a concave le...
Given that Object size, h = + 4 cm
Object distance, u = – 20 cm
Focal length, f = –10 cm
Image distance, v = ?Image size, h' = ?
1/f = 1/v + 1/u
or 1/v = 1/f - 1/u
= 1/(-10) - 1/(-20)
or 1/v = - (1/20)
v = -20 cm
The screen should be placed at 20 cm from the mirror. The image is real.
Also, magnification, m =h'/h = -(v/u) = -(-20)/(-20) = -1
The image is inverted and enlarged.
Object distance, u = – 20 cm
Focal length, f = –10 cm
Image distance, v = ?Image size, h' = ?
1/f = 1/v + 1/u
or 1/v = 1/f - 1/u
= 1/(-10) - 1/(-20)
or 1/v = - (1/20)
v = -20 cm
The screen should be placed at 20 cm from the mirror. The image is real.
Also, magnification, m =h'/h = -(v/u) = -(-20)/(-20) = -1
The image is inverted and enlarged.
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Most Upvoted Answer
Object of height 6cm is placed at a distance of 20cm from a concave le...
Given:
- Object height (h) = 6 cm
- Object distance (u) = -20 cm (negative sign indicates that the object is placed on the same side as the incident light)
- Focal length (f) = 10 cm
To find:
- Position of the image (v)
- Size of the image (h')
Formula:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Substituting the given values into the lens formula:
1/10 = 1/v - 1/-20
Simplifying the equation:
1/10 = 1/v + 1/20
Taking the LCM of the denominators:
1/10 = (1 + 2)/20
Simplifying further:
1/10 = 3/20
Cross multiplying:
20 = 10 * 3
Simplifying:
20 = 30
This is not possible, which means that there is no real image formed in this case. The image formed by the concave lens will be a virtual image.
Position of the image:
Since there is no real image formed, the position of the image cannot be determined.
Size of the image:
Since there is no image formed, the size of the image cannot be determined.
Conclusion:
When an object of height 6 cm is placed at a distance of 20 cm from a concave lens with a focal length of 10 cm, no real image is formed. Hence, the position and size of the image cannot be determined.
- Object height (h) = 6 cm
- Object distance (u) = -20 cm (negative sign indicates that the object is placed on the same side as the incident light)
- Focal length (f) = 10 cm
To find:
- Position of the image (v)
- Size of the image (h')
Formula:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Substituting the given values into the lens formula:
1/10 = 1/v - 1/-20
Simplifying the equation:
1/10 = 1/v + 1/20
Taking the LCM of the denominators:
1/10 = (1 + 2)/20
Simplifying further:
1/10 = 3/20
Cross multiplying:
20 = 10 * 3
Simplifying:
20 = 30
This is not possible, which means that there is no real image formed in this case. The image formed by the concave lens will be a virtual image.
Position of the image:
Since there is no real image formed, the position of the image cannot be determined.
Size of the image:
Since there is no image formed, the size of the image cannot be determined.
Conclusion:
When an object of height 6 cm is placed at a distance of 20 cm from a concave lens with a focal length of 10 cm, no real image is formed. Hence, the position and size of the image cannot be determined.
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Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image?.
Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Object of height 6cm is placed at a distance of 20cm from a concave lens . It's focal length is 10 CM find the position and size of image?.
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