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In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media?
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In an arrangement for observing Newton's ring of the different media b...
Introduction:
Newton's rings is a phenomenon of interference of light waves when a plano-convex lens is placed on a flat glass plate. The fringes appear as a series of concentric, alternating bright and dark rings.
Given:
Diameter of n-th ring = 10:7
Let the refractive indices of two media be n1 and n2.
Solution:
The diameter of the n-th ring is given by the formula:
Dn = [(n + 1)λR]1/2
where λ is the wavelength of light used and R is the radius of curvature of the plano-convex lens.
Let the diameter of the (n+1)th ring be Dn+1. Then, the ratio of the diameters of the n-th and (n+1)th rings is:
Dn/Dn+1 = [(n+1)/(n+2)]1/2
Given that Dn/Dn+1 = 10/7, we can write:
[(n+1)/(n+2)]1/2 = 10/7
Squaring both sides, we get:
(n+1)/(n+2) = 100/49
49n + 49 = 100n + 100
51n = 51
n = 1
Therefore, the refractive index of one of the media is 1. The refractive index of the other medium can be found using the formula:
n2 = n1(Dn/Dn+1)2
Substituting n1 = 1 and Dn/Dn+1 = 10/7, we get:
n2 = (10/7)2
n2 = 2.04
Conclusion:
The ratio of the refractive indices of the two media is 1:2.04.
Newton's rings is a phenomenon of interference of light waves when a plano-convex lens is placed on a flat glass plate. The fringes appear as a series of concentric, alternating bright and dark rings.
Given:
Diameter of n-th ring = 10:7
Let the refractive indices of two media be n1 and n2.
Solution:
The diameter of the n-th ring is given by the formula:
Dn = [(n + 1)λR]1/2
where λ is the wavelength of light used and R is the radius of curvature of the plano-convex lens.
Let the diameter of the (n+1)th ring be Dn+1. Then, the ratio of the diameters of the n-th and (n+1)th rings is:
Dn/Dn+1 = [(n+1)/(n+2)]1/2
Given that Dn/Dn+1 = 10/7, we can write:
[(n+1)/(n+2)]1/2 = 10/7
Squaring both sides, we get:
(n+1)/(n+2) = 100/49
49n + 49 = 100n + 100
51n = 51
n = 1
Therefore, the refractive index of one of the media is 1. The refractive index of the other medium can be found using the formula:
n2 = n1(Dn/Dn+1)2
Substituting n1 = 1 and Dn/Dn+1 = 10/7, we get:
n2 = (10/7)2
n2 = 2.04
Conclusion:
The ratio of the refractive indices of the two media is 1:2.04.
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In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media?
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In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media?.
In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an arrangement for observing Newton's ring of the different media between glass surface, the n th ring have diameter as 10:7 .find the ratio of the refractive indices bof two media?.
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