The answer is 127.35cm
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Radius of curvature in Newton's rings is the radius of the curvature of the wavefront at the point where interference fringes are observed. It is calculated by measuring the diameter of the nth dark ring and using the formula R = (n * λ * D) / (2 * δ), where R is the radius of curvature, n is the order of the ring, λ is the wavelength of light, D is the distance between the lens and the glass plate, and δ is the diameter of the nth dark ring.
Newton's rings can be used to find the radius of curvature of a lens by measuring the diameter of the rings as a function of the distance from the center of the lens. By fitting the experimental data to the equation for the radius of curvature derived from the theory of interference, the radius of curvature can be determined. This method relies on understanding the interference patterns produced by the air gap between the lens and a flat glass plate.
In Newton's ring experiment, a plano-convex lens with a large radius of curvature is used to ensure that the interference fringes produced between the lens and the flat glass plate can be easily observed and analyzed. The large radius of curvature helps in creating distinct and well-defined interference patterns, which are essential for accurate measurement and analysis of the rings.
A lens with a large radius of curvature allows for a greater region of interference fringes to be observed, making it easier to measure the diameter of the rings accurately. This increases the precision of the experiment and reduces errors in measurement. Additionally, a large radius of curvature reduces the curvature of the lens surfaces, leading to more uniform and symmetrical interference patterns.
The radius of curvature is the distance from the center of a curved surface or lens to a point on the surface, while the center of curvature is the point at the center of the sphere of which the curved surface is a part. In other words, the radius of curvature is the length of the line segment from the center to the surface, while the center of curvature is the actual point.
The radius of curvature of a lens is the distance between the center of the lens and its focal point. It is a measure of the curvature of the lens surface. A smaller radius of curvature indicates a more curved lens, while a larger radius indicates a flatter lens.