Is my response correct? If not please give the correct respons. thank you. a) Ye

Question

Is my response correct? If not please give the correct respons. thank you.

a) Yes, the radius of the dark and bright circular fringes will become shorter, because of the decrease in wavelength.

b) Yes, because due to the new refractive index of water the wavelength will become shorter and the radius of the dark and bright fringes will become shorter as well.

Consider the Newton's rings experiment shown on the left. A convex lens with a spherical surface rests on a flat pane of glass. It is illuminated from above with monochromatic light, resulting in the interference pattern shown on the right. (a) Would the pattern change if you were to use a shorter wavelength of light? Clearly state what change(s) would occur (if any) and briefly explain why (b) The apparatus is surrounded by air. Would the pattern change if it were immersed in water instead? Clearly state what change(s) would occur (if any), and briefly explain why light

Explanation / Answer

Both the responses are correct with their descriptions. The more appropriate response for the second part is mentioned below.

a) The radius of the nth dark fringe is proportional to 0.5. So when the wavelength reduces, the thickness of the rings will also reduce.

b) In water, the effective radius of curvature of the lens reduces. The radius of curvature effects the fringe radius is proportional to R0.5. So when the radius of curvature reduces, the thickness of the rings will also reduce.

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