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The critical angle for light traveling from a transparent medium to air is measured as 3F. The refractive index of the medium is


An object placed 12cm in front of a convex lens produced a virtual image of magnification 3.0. Calculate the focal length of the lens


Given the area in the first quadrant bounded by x² = = 8y, the line


y-2 and the y-axis. What is the volume generated when this area is


revolved about the line y - 2 = 0?

Given the area in the first quadrant bounded by x² = 8y, the line



x=4 and the x-axis. What is the



the volume generated by revolving this



area about the y-axis?

Find the volume by revolving the hyperbola xy = 6 from x=2 to x=4

about the x-axis.


Write a c++ code for the output using loop



1



2 3



4 5 1



2 3 4 5



1 2 3 4 5

Q life time of led follow exponential distribution with mean life of 5000 burning hours. if one such LED is selected at random from a big lot, what is the probability that it will last for 

1. at least 4000 hours 

2. almost 10000 hours

Also state the standard deviation of the life time distribution. Given e raised to -0.8 is 0.4493 and e raised to -2 is 0.1353


A group of students got the following scores in an achievement test:9,12,15,18,21 and 24 . consider the sample of size 3 that can be drawn from this population. Construct a sampling distribution of the resulting means and find the probability




 Suppose the distance between two successive reflections in the optical fiber is 400μm. What is the diameter of the core of this fiber if the light is incident at 82o at the core?


a bus is moving at 8m/s when passenger walks forward at 1.5m/s relative to the bus . how fast is this passenger moving as seen and measured by (a) a person waiting at the bus stop and (b) the driver of the bus?


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