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An object is placed at a distance of 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real?
Most Upvoted Answer
An object is placed at a distance of 40 cm from the convex lens of foc...
Given:
Distance of object from the convex lens (u) = 40 cm
Focal length of the convex lens (f) = 30 cm
To find:
1. Position of the image (v)
2. Whether the image is virtual or real
Formula used:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Substituting the given values in the lens formula:
1/30 = 1/v - 1/40
Simplifying the equation:
1/v = 1/30 + 1/40
1/v = (4 + 3) / (120)
1/v = 7 / 120
Taking the reciprocal of both sides:
v = 120 / 7
Therefore, the position of the image is 120/7 cm.
Analysis:
To determine whether the image is virtual or real, we need to compare the magnitudes of u and v.
In this case, the object is placed at a distance of 40 cm from the lens, which is less than the focal length of the lens (30 cm). Since u < f,="" the="" image="" formed="" will="" be="" />
Summary:
The position of the image is 120/7 cm and it is a real image.
Distance of object from the convex lens (u) = 40 cm
Focal length of the convex lens (f) = 30 cm
To find:
1. Position of the image (v)
2. Whether the image is virtual or real
Formula used:
The lens formula is given by:
1/f = 1/v - 1/u
Calculation:
Substituting the given values in the lens formula:
1/30 = 1/v - 1/40
Simplifying the equation:
1/v = 1/30 + 1/40
1/v = (4 + 3) / (120)
1/v = 7 / 120
Taking the reciprocal of both sides:
v = 120 / 7
Therefore, the position of the image is 120/7 cm.
Analysis:
To determine whether the image is virtual or real, we need to compare the magnitudes of u and v.
In this case, the object is placed at a distance of 40 cm from the lens, which is less than the focal length of the lens (30 cm). Since u < f,="" the="" image="" formed="" will="" be="" />
Summary:
The position of the image is 120/7 cm and it is a real image.
Community Answer
An object is placed at a distance of 40 cm from the convex lens of foc...
120 cm
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An object is placed at a distance of 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real?
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An object is placed at a distance of 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real? 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 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real? 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 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real?.
An object is placed at a distance of 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real? 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 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real? 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 40 cm from the convex lens of focal length 30 cm . Find the position of the image and weather the image is virtual or real?.
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