Concept explainers
The refractive index n of a substance is a dimensionless measure of how much light bends (refracts) when passing from one medium to another.
where c is the speed of light in a vacuum (a constant) and v is the speed of light in the medium. For example, the refractive index of diamond is 2.42 which means that light travels 2.42 times as fast in a vacuum as it does in a diamond.
Snell's law is an equation that relates the indices of refraction of two different mediums to the angle of incidence
93. Assume that a beam of light travels from air into water.
a. If the incidence angle
b. Alina attempts to spear a lobster from her boat. If she aims her spear directly at the lobster, will she hit it? Explain your answer.
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COLLEGE ALGEBRA & TRIG..W/ALEKS >IC<
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardProve that bx=exln(b) for positive b1 .arrow_forwardTsunami Waves and BreakwatersThis is a continuation of Exercise 16. Breakwaters affect wave height by reducing energy. See Figure 5.30. If a tsunami wave of height H in a channel of width W encounters a breakwater that narrows the channel to a width w, then the height h of the wave beyond the breakwater is given by h=HR0.5, where R is the width ratio R=w/W. a. Suppose a wave of height 8 feet in a channel of width 5000feet encounters a breakwater that narrows the channel to 3000feet. What is the height of the wave beyond the breakwater? b. If a channel width is cut in half by a breakwater, what is the effect on wave height? 16. Height of Tsunami WavesWhen waves generated by tsunamis approach shore, the height of the waves generally increases. Understanding the factors that contribute to this increase can aid in controlling potential damage to areas at risk. Greens law tells how water depth affects the height of a tsunami wave. If a tsunami wave has height H at an ocean depth D, and the wave travels to a location with water depth d, then the new height h of the wave is given by h=HR0.25, where R is the water depth ratio given by R=D/d. a. Calculate the height of a tsunami wave in water 25feet deep if its height is 3feet at its point of origin in water 15,000feet deep. b. If water depth decreases by half, the depth ratio R is doubled. How is the height of the tsunami wave affected?arrow_forward
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