The objective of a microscope has a focal length
of 0.80 cm and the eyepiece has a focal length
of 4.0 cm. An object is placed 1.50 cm from the
objective. The final image is formed at the near
point of the eye (25 cm).
a) Calculate the distance of the image from the objective.
b) Calculate the distance from the eyepiece lens of the image in part a.
c) Calculate the angular magnification of the microscope.

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island

Air is to be preheated by hot exhaust gases in a cross-flow heat exchanger before it enters the furnace. air enters the heat exchanger at 95 kpa and 20°c at a rate of 0.6 m^3/s. the combustion gases (cp = 1.10 kj/kg°c) enter at 160°c at a rate of 0.95 kg/s and leave at 95°c. determine the rate of heat transfer to the air and its outlet temperature.

An ice-making machine inside a refrigerator operates in a carnot cycle. it takes heat from liquid water at 0.0 degrees celsius and rejects heat to a room at a temperature of 19.2 degrees celsius. suppose that liquid water with a mass of 76.3kg at 0.0 degrees celsius is converted to ice at the same temperature. take the heat of fusion for water to be l_f = 3.34*10^5 j/kg. how much energy e must be supplied to the device? express your answer in joules.