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Newton’s rings, discovered by Isaac Newton, are an interference pattern of dark and bright rings formed because of the air gap of increasing thickness w between a spherical surface and an adjoining flat surface (Example 36.2). Figure P36.55 shows a Newton’s rings apparatus with a plano-convex lens with radius of curvature R atop a flat glass slab, both with index of refraction nglass. In the configuration shown, the seventh bright fringe has a radius of 1.10 cm. After the air gap in the apparatus is filled with an unknown liquid, the radius of the seventh fringe decreases to 0.968 cm. What is the index of refraction of the unknown liquid?
FIGURE P36.55
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Chapter 36 Solutions
Physics for Scientists and Engineers: Foundations and Connections
- ՍՈՈՒ XVirginia Western Community Coll x P Course Home X + astering.pearson.com/?courseld=13289599#/ Figure y (mm) x=0x = 0.0900 m All ✓ Correct For either the time for one full cycle is 0.040 s; this is the period. Part C - ON You are told that the two points x = 0 and x = 0.0900 m are within one wavelength of each other. If the wave is moving in the +x-direction, determine the wavelength. Express your answer to two significant figures and include the appropriate units. 0 t(s) λ = Value m 0.01 0.03 0.05 0.07 Copyright © 2025 Pearson Education Inc. All rights reserved. 日 F3 F4 F5 1775 % F6 F7 B F8 Submit Previous Answers Request Answer ? × Incorrect; Try Again; 3 attempts remaining | Terms of Use | Privacy Policy | Permissions | Contact Us | Cookie Settings 28°F Clear 4 9:23 PM 1/20/2025 F9 prt sc F10 home F11 end F12 insert delete 6 7 29 & * ( 8 9 0 t = back Οarrow_forwardPart C Find the height yi from which the rock was launched. Express your answer in meters to three significant figures. Learning Goal: To practice Problem-Solving Strategy 4.1 for projectile motion problems. A rock thrown with speed 12.0 m/s and launch angle 30.0 ∘ (above the horizontal) travels a horizontal distance of d = 19.0 m before hitting the ground. From what height was the rock thrown? Use the value g = 9.800 m/s2 for the free-fall acceleration. PROBLEM-SOLVING STRATEGY 4.1 Projectile motion problems MODEL: Is it reasonable to ignore air resistance? If so, use the projectile motion model. VISUALIZE: Establish a coordinate system with the x-axis horizontal and the y-axis vertical. Define symbols and identify what the problem is trying to find. For a launch at angle θ, the initial velocity components are vix=v0cosθ and viy=v0sinθ. SOLVE: The acceleration is known: ax=0 and ay=−g. Thus, the problem becomes one of…arrow_forwardPhys 25arrow_forward
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