\n. We know that the focus of a lens is a point at which all the rays incident on the lens converge after passing through the lens or the point from which all the rays appear to diverge, and then these rays are incident of the lens in the form of parallel rays. \n \nWe can determine the focal lengths of the two lenses as follows:
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In the above ray diagram, the indent rays from the first lens converge at point F after passing through the first lens. Hence, the distance between the centre of the first lens and the point F is the focal length
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f1 of the first lens.The rays converged at point F from the first lens diverge from the same point F and are incident on the second lens. Hence, the distance between the point F and the centre of the second lens is the focal length f2 of the second lens.From the above ray diagram, the sum of the focal lengths f1 and f2 of the two lenses is equal to the separation d between the two lenses.
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\nTherefore, the relation between the focal lengths of the two lenses and the separation between the two lenses is
\n\n\n\n
.Hence, the correct option is C.
\n\n"},"encodingFormat":"text/html","position":2,"text":""},"comment":{"@type":"Comment","text":"Recall the concept of focus of a lens and focal length of a lens. Give the definitions of the focus and focal length of a lens. Observe the given ray diagram and determine the focal lengths of the two lenses in the ray diagram. Check the relation between the sum of focal lengths of the two lenses and the separation distance between the two lenses and choose the correct option."},"eduQuestionType":"Multiple choice","encodingFormat":"text/markdown","learningResourceType":"Practice problem","suggestedAnswer":[{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":0,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":1,"text":""},{"@type":"Answer","comment":{"@type":"Comment","text":"It is a wrong option."},"encodingFormat":"text/html","position":3,"text":"
Combination behaves like converging lens
\n"}],"text":"
Ray diagram for two lenses kept at some distance given in the diagram, which of the following option is correct (f1,f2=focal length; d=distance between lenses)
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\n"},"name":"Quiz on Refraction of Light at Spherical Surfaces : Lenses","typicalAgeRange":"10-17","url":"https://www.embibe.com/questions/Ray-diagram-for-two-lenses-kept-at-some-distance-given-in-the-diagram%2C-which-of-the-following-option-is-correct-%28f1%2Cf2%3Dfocal-length%3B-d%3Ddistance-between-lenses%29%0A%0A/EM8542085"}
Embibe Experts Physics Solutions for Exercise - Embibe Experts Solutions for Exercise 1: Exercise
Attempt the free practice questions from Exercise 1: Exercise with hints and solutions to strengthen your understanding. Physics Crash Course (Based on Revised Syllabus-2023) solutions are prepared by Experienced Embibe Experts.
Questions from Embibe Experts Solutions for Exercise 1: Exercise with Hints & Solutions
Ray diagram for two lenses kept at some distance given in the diagram, which of the following option is correct (f1,f2=focal length; d=distance between lenses)
The refractive index of material of a Plano-convex lens, if the radius of curvature of the plane surface is infinite while the radius of curvature of convex surface is and focal length of the lens is , will be: