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The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λ is found to be √5 mm. Determine the wavelength λ of the light_______ (in ).
Correct answer is '5064'. Can you explain this answer?
Verified Answer
The spherical surface of a piano convex lens of radius of curvature R ...
For the formation of dark fringe , we can write

t = thickness of the liquid 
λ = wave length of the light
μ1 =  refractive index of the liquid 
From the geometry of the figure , we have


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The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λis found to be √5mm. Determine the wavelength λof the light_______ (in ).Correct answer is '5064'. Can you explain this answer?
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The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λis found to be √5mm. Determine the wavelength λof the light_______ (in ).Correct answer is '5064'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λis found to be √5mm. Determine the wavelength λof the light_______ (in ).Correct answer is '5064'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The spherical surface of a piano convex lens of radius of curvature R = 1 m is gently placed on aflat plate. The space between then is filled with a transparent liquid of refractive index 1.57. The refrective indices of the lens and the flat plate are 1.52 and 1.62 respectively. The radius of the sixteenth dark newton’s ring in the reflected light of wave length λis found to be √5mm. Determine the wavelength λof the light_______ (in ).Correct answer is '5064'. Can you explain this answer?.
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