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Multiple Choice
If an amoeba is placed 0.305 cm from the objective lens of a microscope with a focal length of 0.300 cm, what is the nature of the image formed by the objective lens?
A
The image is real, inverted, and magnified.
B
The image is virtual, inverted, and magnified.
C
The image is virtual, upright, and reduced.
D
The image is real, upright, and reduced.
Verified step by step guidance
1
Step 1: Understand the problem. The question involves determining the nature of the image formed by the objective lens of a microscope. This requires applying the lens formula and understanding the properties of the image based on the calculated values.
Step 2: Recall the lens formula: , where is the focal length, is the object distance, and is the image distance. Substitute the given values: = 0.300 cm and = 0.305 cm.
Step 3: Solve for (image distance) using the lens formula. Rearrange the formula to isolate : = 11f + 1u. Substitute the values and calculate.
Step 4: Analyze the sign of . If is positive, the image is real and inverted. If is negative, the image is virtual and upright.
Step 5: Determine the magnification using the formula: = vu. If the magnification is greater than 1, the image is magnified. If it is less than 1, the image is reduced. Combine this information with the sign of to conclude the nature of the image.