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A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.?
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A divergent lens has a focal length of 20 cm. At what distance should ...
Answer:
Given:
Focal length of divergent lens, f = -20 cm
Height of object, h = 4 cm
Image distance, v = 10 cm
To Find:
Distance of object from the lens, u
Size of the image, h'
Calculation:
Using lens formula,
1/f = 1/v - 1/u
Substituting the given values,
1/-20 = 1/10 - 1/u
1/u = 1/10 - (-1/20)
1/u = 3/20
u = 20/3 cm
The distance of the object from the lens is 20/3 cm.
The magnification produced by the lens is given by,
m = -v/u
Substituting the given values,
m = -10/(20/3)
m = -3/2
The negative sign indicates that the image is formed on the same side as the object and it is diminished.
The size of the image is given by,
h' = m × h
Substituting the given values,
h' = (-3/2) × 4
h' = -6 cm
The size of the image is -6 cm.
Ray Diagram:
The ray diagram for the formation of the image is shown below:
The object is placed beyond the 2F point of the divergent lens. The rays of light coming from the object diverge after passing through the lens. The extended rays intersect at a point on the same side of the lens as the object. This point is the location of the virtual image. The image is formed smaller than the object and is located closer to the lens than the object.
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A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.?
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A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.? 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 divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.?.
A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.? 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 divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A divergent lens has a focal length of 20 cm. At what distance should an object of height 4 cm from the optical centre of the lens be placed so that its image is formed 10 cm away from the lens. Find the size of the image also. Draw a ray diagram to show the formation of image in above situation.?.
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