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Determine how far an object must be placed in front of a convex lens of focal length
10cm so as to produce an image of magnification 4.?
10cm so as to produce an image of magnification 4.?
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Determine how far an object must be placed in front of a convex lens o...
Calculating the Distance for Producing an Image of Magnification 4
To determine how far an object must be placed in front of a convex lens of focal length 10cm in order to produce an image of magnification 4, we can use the magnification formula:
Magnification (m) = - (Image distance)/(Object distance)
Given:
Focal length (f) = 10cm
Magnification (m) = 4
Calculating the Image Distance:
Using the lens formula:
1/f = 1/v - 1/u
where:
f = focal length of the lens
v = image distance
u = object distance
Substitute the values:
1/10 = 1/v - 1/u
Calculating Object Distance:
Rearranging the lens formula gives us:
1/v = 1/f + 1/u
Substitute the focal length (f = 10cm) and the image distance (v) into the equation to solve for the object distance (u).
Calculating the Required Object Distance:
Magnification is also defined as the ratio of the height of the image to the height of the object:
m = h'/h = -v/u
Given that magnification (m) is 4, we can use this information along with the image distance (v) to find the object distance (u).
Plugging in the Values:
m = 4
v = calculated image distance
Once the object distance is determined, the distance at which the object must be placed in front of the convex lens to produce an image of magnification 4 can be found.
To determine how far an object must be placed in front of a convex lens of focal length 10cm in order to produce an image of magnification 4, we can use the magnification formula:
Magnification (m) = - (Image distance)/(Object distance)
Given:
Focal length (f) = 10cm
Magnification (m) = 4
Calculating the Image Distance:
Using the lens formula:
1/f = 1/v - 1/u
where:
f = focal length of the lens
v = image distance
u = object distance
Substitute the values:
1/10 = 1/v - 1/u
Calculating Object Distance:
Rearranging the lens formula gives us:
1/v = 1/f + 1/u
Substitute the focal length (f = 10cm) and the image distance (v) into the equation to solve for the object distance (u).
Calculating the Required Object Distance:
Magnification is also defined as the ratio of the height of the image to the height of the object:
m = h'/h = -v/u
Given that magnification (m) is 4, we can use this information along with the image distance (v) to find the object distance (u).
Plugging in the Values:
m = 4
v = calculated image distance
Once the object distance is determined, the distance at which the object must be placed in front of the convex lens to produce an image of magnification 4 can be found.
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Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.?
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Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.? 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 Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.?.
Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.? 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 Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Determine how far an object must be placed in front of a convex lens of focal length 10cm so as to produce an image of magnification 4.?.
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