One of the most efficient engines built so far has the following characteristics
ID: 3163687 • Letter: O
Question
One of the most efficient engines built so far has the following characteristics: combustion chamber temperature = 1900 degree C exhaust temperature = 430 degree C 7.0 times 10^9 cal of fuel produce 1.4 times 10^10 J of work in one hour, where 1 cal = 4.19 J (a) What is the actual efficiency of this engine? (b) What is the Carnot efficiency of the engine? (c) What is the power output of this engine? In the figure, the orientation of the transmission axis for each of three polarizing sheets is labeled relative to the vertical direction. A beam of light, polarized in the vertical direction, is incident on the first polarized with an intensity of 1000 W/m^2. What is the intensity of the beam after it has passed through the three polarizing sheets when theta_1 = 30 degree, theta_2 = 30 degree, and theta_3 = 60 degree? A ray of high passes from glass into a liquid, as shown in the figure. What is the speed of the light in the liquid? (c = 3.00 times 10^8 m/s) Light strikes a 5.0-cm thick sheet of glass at an angle of incidence in air of 50 degree. The sheet has parallel faces and the glass has an index of refraction 1.50. (a) What is the angle of refraction in the glass? (b) After travelling through the glass the light re-emerges into the air. What is the final angle of refraction in air? (c) As it leaves the glass, by what distance is the path of the ray is displaced from what it was before entering the glass?Explanation / Answer
(14).Angle of incidence i = 57 o
Angle of refraction r = 40 o
Index of refraction of liquid n = n
Index of refraction of glass n ' = 1.5
From Snell's law , sin i / sin r = n ' / n
sin 57 / sin 40 = 1.5 / n
1.304 = 1.5 / n
n = 1.5 / 1.304
= 1.149
We know n = Speed of light in vaccum / speed fo light in liquid
From this speed of light in liquid = speed of light in vaccum / n
= (3x10 8 m/s) / 1.149
= 2.609x10 8 m/s
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