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A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens?
Verified Answer
A convex lens has focal length of 10cm. If the image produced by it is...
For the given convex lens,
Focal length (f) = 10 cm
Image distance (v) = 15 cm
(v is taken positive because image is formed behind the lens i.e right side of the lens)
Object distance (u) =?
Using the lens formula:
Here, the negative sign indicates that the object was placed to the left of the lens.
Now magnification,
m = v/u
= 15/-30
= -0.5
Hence, the image size will be half of the object size. The negative sign of magnification implies that the image formed is real and inverted.
Image distance is taken negative when image is formed on the same side as object. i.e left of the lens.
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Most Upvoted Answer
A convex lens has focal length of 10cm. If the image produced by it is...
The distance of object from optical centre is 30 CM, ....... and magnification of image is 1/2.
Community Answer
A convex lens has focal length of 10cm. If the image produced by it is...
Given information:
- Focal length of convex lens (f) = 10 cm
- Distance of image from the lens (v) = 15 cm
To find:
- Distance at which the object is placed (u)
- Magnification produced by the lens
Formula:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Given that the focal length (f) of the lens is 10 cm and the distance of the image (v) is 15 cm.
Using the lens formula, we can rearrange it to find the distance of the object (u):
1/f = 1/v - 1/u
1/10 = 1/15 - 1/u
Now, let's solve for u.
Solving for u:
1/u = 1/10 - 1/15
1/u = (3 - 2)/30
1/u = 1/30
To find the value of u, we take the reciprocal of both sides:
u = 30 cm
Therefore, the object is placed at a distance of 30 cm from the lens.
Magnification:
The magnification (m) produced by a lens is given by the formula:
m = -v/u
Substituting the given values:
m = -15/30
m = -0.5
The magnification produced by the lens is -0.5, which indicates that the image formed is inverted compared to the object.
Summary:
- The object is placed at a distance of 30 cm from the convex lens.
- The magnification produced by the lens is -0.5, indicating an inverted image.
- Focal length of convex lens (f) = 10 cm
- Distance of image from the lens (v) = 15 cm
To find:
- Distance at which the object is placed (u)
- Magnification produced by the lens
Formula:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Given that the focal length (f) of the lens is 10 cm and the distance of the image (v) is 15 cm.
Using the lens formula, we can rearrange it to find the distance of the object (u):
1/f = 1/v - 1/u
1/10 = 1/15 - 1/u
Now, let's solve for u.
Solving for u:
1/u = 1/10 - 1/15
1/u = (3 - 2)/30
1/u = 1/30
To find the value of u, we take the reciprocal of both sides:
u = 30 cm
Therefore, the object is placed at a distance of 30 cm from the lens.
Magnification:
The magnification (m) produced by a lens is given by the formula:
m = -v/u
Substituting the given values:
m = -15/30
m = -0.5
The magnification produced by the lens is -0.5, which indicates that the image formed is inverted compared to the object.
Summary:
- The object is placed at a distance of 30 cm from the convex lens.
- The magnification produced by the lens is -0.5, indicating an inverted image.
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A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens?
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A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens? 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 A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens?.
A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens? 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 A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens has focal length of 10cm. If the image produced by it is 15cm behind from the optical centre, then determine the distance at which the object is placed ? Also, find the magnification produced by the lens?.
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