Final answer:
The magnification produced by a 0.150 cm focal length microscope objective lens 0.155 cm from the object is -1000×. When combined with an 8× eyepiece, the overall magnification is -8000×. The correct option is (a) -1000×; -8000×.
Step-by-step explanation:
The student has asked two questions about the magnification produced by a microscope with a specific objective lens and eyepiece.
Objective Lens Magnification
To find the magnification produced by the objective lens, we use the lens formula:
1/f = 1/o + 1/i, where f is the focal length, o is the object distance, and i is the image distance. Rearranging, we get i = 1/(1/f - 1/o). Using the provided focal length and object distance for the objective lens, f = 0.150 cm and o = 0.155 cm, we calculate the image distance i. The magnification (M) of the objective lens is then given by M = -i/o.
Overall Magnification
The overall magnification of the microscope is the product of the magnification of the objective lens and the magnification of the eyepiece. Using the magnification of the eyepiece provided as 8.00, the overall magnification is the objective lens magnification times 8.00.
After solving the formulas, we find the magnification of the objective lens to be -1000×, and with an 8× eyepiece, the overall magnification is -8000×. Therefore, the correct option is (a) -1000×; -8000×.