Question

B1. In a Newton's Rings experiment, a plano-convex glass (n = 1.5) lens having radius r = 5.00 mm is placed on a flat glass plate. When light of wavelength $\lambda = 600$ nm is incident normally on the system, 5001 dark rings are observed, with the last one precisely on the edge of the lens. (a) Give the equation for destructive interference. Assume that $t$ is the thickness of the air gap between the plano-convex glass and the flat glass plate. (2 marks) (b) Is the center point of the interference pattern dark or bright? Explain your choice. (3 marks) (c) Find the radius of curvature $R$ of the convex surface of the lens? (5 marks) (d) When the air gap is filled with a liquid of refractive index 1.4, what is the number of the dark rings observed? (2 marks) (e) Use the lens-makers' equation to calculate the focal length of the lens. (3 marks)

          B1. In a Newton's Rings experiment, a plano-convex glass (n = 1.5) lens having radius r = 5.00
mm is placed on a flat glass plate. When light of wavelength \(\lambda = 600\) nm is incident normally
on the system, 5001 dark rings are observed, with the last one precisely on the edge of the lens.
(a) Give the equation for destructive interference. Assume that \(t\) is the thickness of the air gap
between the plano-convex glass and the flat glass plate.
(2 marks)
(b) Is the center point of the interference pattern dark or bright? Explain your choice.
(3 marks)
(c) Find the radius of curvature \(R\) of the convex surface of the lens?
(5 marks)
(d) When the air gap is filled with a liquid of refractive index 1.4, what is the number of the
dark rings observed?
(2 marks)
(e) Use the lens-makers' equation to calculate the focal length of the lens.
(3 marks)

$B1. In a Newton's Rings experiment, a plano-convex glass (n = 1.5) lens having radius r = 5.00 mm is placed on a flat glass plate. When light of wavelength λ = 600 nm is incident normally on the system, 5001 dark rings are observed, with the last one precisely on the edge of the lens. (a) Give the equation for destructive interference. Assume that t is the thickness of the air gap between the plano-convex glass and the flat glass plate. (2 marks) (b) Is the center point of the interference pattern dark or bright? Explain your choice. (3 marks) (c) Find the radius of curvature R of the convex surface of the lens? (5 marks) (d) When the air gap is filled with a liquid of refractive index 1.4, what is the number of the dark rings observed? (2 marks) (e) Use the lens-makers' equation to calculate the focal length of the lens. (3 marks)$

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