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The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?
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The focal length of a convex lens is 25cm.At what distance from the op...
Focal length =25 cm so, distance between from optical center to focus is 25 cm and2f = 50 cmIf we place image between optical center and focus between 25 cm to 0 cm, Image formed is virtual magnified and larger in size and formed beyond the 25 cm of the lens on same side of lens.
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The focal length of a convex lens is 25cm.At what distance from the op...
V/u = 2 positive .since the image is virtual .since image is on the side of object :.v= 2u negative ,f = 25 cm positive . From relation 1/f= 1/v_1/u , ..answer will be obtained ..put the value in this relation..
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The focal length of a convex lens is 25cm.At what distance from the op...
Calculating the Object Distance for Virtual Image Formation
- Given: Focal length (f) = 25 cm
- Image magnification (m) = 2
Formula for Magnification:
m = - (v/u)
Formula for Focal Length:
1/f = 1/v + 1/u
Calculating Image Distance (v):
Given that the image formed is virtual and twice the size of the object, the magnification (m) is 2. Therefore, m = -2.
Using the magnification formula, we have:
-2 = - (v/u)
Calculating Object Distance (u):
Substitute the given focal length (f = 25 cm) into the formula for focal length:
1/25 = 1/v + 1/u
1/v = 1/25 - 1/u
Now, substitute the value of magnification into the magnification formula:
-2 = - (v/u)
v = -2u
Putting it all together:
Substitute v = -2u into the focal length formula:
1/25 = 1/(-2u) + 1/u
1/25 = -2/u + 1/u
1/25 = -1/u
u = -25 cm
Therefore, the object should be placed at a distance of 25 cm from the optical centre of the convex lens to obtain a virtual image that is twice the size of the object.
- Given: Focal length (f) = 25 cm
- Image magnification (m) = 2
Formula for Magnification:
m = - (v/u)
Formula for Focal Length:
1/f = 1/v + 1/u
Calculating Image Distance (v):
Given that the image formed is virtual and twice the size of the object, the magnification (m) is 2. Therefore, m = -2.
Using the magnification formula, we have:
-2 = - (v/u)
Calculating Object Distance (u):
Substitute the given focal length (f = 25 cm) into the formula for focal length:
1/25 = 1/v + 1/u
1/v = 1/25 - 1/u
Now, substitute the value of magnification into the magnification formula:
-2 = - (v/u)
v = -2u
Putting it all together:
Substitute v = -2u into the focal length formula:
1/25 = 1/(-2u) + 1/u
1/25 = -2/u + 1/u
1/25 = -1/u
u = -25 cm
Therefore, the object should be placed at a distance of 25 cm from the optical centre of the convex lens to obtain a virtual image that is twice the size of the object.
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The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?
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The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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 The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?.
The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? 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 The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal length of a convex lens is 25cm.At what distance from the optical centre of the lens an object be placed to obtain a virtual image of twice the size?.
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