A plano-concave lens having index of refraction 1.50 is placed on a flat glass plate as shown in Figure P36.39. Its curved surface, with radius of curvature 8.00 m, is on the bottom. The lens is illuminated from above with yellow sodium light of wavelength 589 nm, and a series of concentric bright and dark rings is observed by reflection. The interference pattern has a dark spot at the center that is surrounded by 50 dark rings, the largest of which is at the outer edge of the lens. (a) What is the thickness of the air layer at the center of the interference pattern? (b) Calculate the radius of the outermost dark ring. (c) Find the focal length of the lens.

a narrow beam of light containing yellow (580 nm) and green (550 nm) wavelength goes from polystyrene to air striking the surface at a 30° incident angle. what is the angle between the colors when they emerge? how far would they have to travel to be separated by 1.00 mm?

In figure , S is a monochromatic point source emitting light of wavelength A = 500nm A thin lens of circular shape and focal length 0.10m is cut into two identical halves L3 and L2 by a plane passing through a diameter. The two halves are placed symmetrically about the central axis So with a gap of 0.5mm. The distance along the axis from S to L1 and L2 is 0.15m while that from Li and L2 to O is 1.30m. The screen at O is normal to SO. If the gap between Li and L2 is reduced from its original value of 0.5mm, will the distance OA increase, decrease, or remain the same? AINLY A 0.5 mm Screen 0.15 m 1.30 m

A thin layer of oil floats on a puddle of water. When sunlight hits the film from directly above, the colors red (650 nm) and violet (390 nm) are reflected. What is the minimum thickness of the oil? Use n=1.5 for the oil, and n=1.33 for water.

A spy satellite is in orbit a distance of 1.91 x 106 m above the earth's surface. It carries a telescope that can resolve two trees that are 1.34 m apart using light of wavelength 592 nm. What must be the minimum diameter of the telescope's lens (in meters)?

A force is applied to two blocks connected by a massless cable as shown. The coefficients of friction between the blocks and the surface are given (and are different) 45 N 35° 5 kg 10 kg Hk = .3 Hk =.1 Draw the free body diagrams for each block. Decompose all forces into the direction of motion and a perpendicular direction. Calculate all forces except the tension. a.

A glass sheet measuring 15.0 cmcm ×× 29.0 cmcm is covered by a very thin opaque coating. In the middle of this sheet is a thin, straight scratch 0.00125 mmmm thick, as shown in (Figure 1). The sheet is totally immersed beneath the surface of a liquid having an index of refraction of 1.41. Monochromatic light strikes the sheet perpendicular to its surface and passes through the scratch. A screen is placed under the liquid a distance 32.0 cmcm away from the sheet and parallel to it. You observe that the first dark fringes on either side of the central bright fringe on this screen are 23.0 cmcm apart. What is the wavelength of the light in air? Express your answer in nanometers.