A microscope for viewing blood cells has an objective with a focallength of 0.50

Question

A microscope for viewing blood cells has an objective with a focallength of 0.50 cm and an eyepiece with a focal length of 2.5 cm.The distance between the objective and the eyepiece is 14.0 cm. Ifa blood cell subtends an angle of 2.1x10^-5 rad when viewed withthe naked eye at a near point of 25.0 cm, what angle (magnitudeonly) does it subtend when viewed through the microscope? A microscope for viewing blood cells has an objective with a focallength of 0.50 cm and an eyepiece with a focal length of 2.5 cm.The distance between the objective and the eyepiece is 14.0 cm. Ifa blood cell subtends an angle of 2.1x10^-5 rad when viewed withthe naked eye at a near point of 25.0 cm, what angle (magnitudeonly) does it subtend when viewed through the microscope?

Explanation / Answer

The angular magnification of the microscope is         M ˜-(L-fe)N/fofe              =-(14cm-2.5cm)25cm / (0.50cm)(2.5cm)              = -2.30*102 the blood cell subtends an angle of = 2.1 x10-5 rad when viewed with the naked eye the angle it subtends when viewed through the microscopeis      ' = (-2.30*102)(2.1x 10-5 rad )           =-4.83*10-3 rad therefore the magnitude of the angle it subtends when viewedthrough the microscope is 4.83*10-3rad

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