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Chapter 25: Q43PE (page 931)
How far from a piece of paper must you hold your father鈥檚 2.25 Dreading glasses to try to burn a hole in the paper with sunlight?
The focal point to burn a hole in the paper with sunlight isf=444mm.
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Models are particularly useful in relativity and quantum mechanics, where conditions are outside those normally encountered by humans. What is a model?
(a) At the end of Example 25.4, it was stated that the critical angle for light going from diamond to air is 24.4潞. Verify this.
(b) What is the critical angle for light going from zircon to air?
(a) A narrow beam of light containing yellow (580 nm) and green (550 nm) wavelengths goes from polystyrene to air, striking the surface at aincident angle. What is the angle between the colours when they emerge? (b) How far would they have to travel to be separated by 1.00 mm?
In Example \(25.7\), the magnification of a book held \(7.50cm\) from a \(10.0cm\) focal length lens was found to be \(3.00\). (a) Find the magnification for the book when it is held \(8.50cm\) from the magnifier. (b) Do the same for when it is held \(9.50cm\) from the magnifier. (c) Comment on the trend in m as the object distance increases as in these two calculations.
Use the law of reflection to prove that the focal length of a mirror is half its radius of curvature. That is, prove that .Note this is true for a spherical mirror only if its diameter is small compared with its radius of curvature.
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