Question

category
calculating magnification
question 4 of 5
for a total magnification of 200x, what eyepiece and objective would be used?
select the best answer:
10x eyepiece with a 100x objective
10x eyepiece with a 10x objective
5x eyepiece with a 40x objective
5x eyepiece with a 25x objective

Explanation:

To determine the eyepiece and objective for a total magnification of 200X, we use the formula for total magnification: \( \text{Total Magnification} = \text{Eyepiece Magnification} \times \text{Objective Magnification} \).

Step 1: Analyze Option 1

Eyepiece: 10X, Objective: 100X
Calculate total magnification: \( 10 \times 100 = 1000 \)X (not 200X)

Step 2: Analyze Option 2

Eyepiece: 10X, Objective: 10X
Calculate total magnification: \( 10 \times 10 = 100 \)X (not 200X)

Step 3: Analyze Option 3

Eyepiece: 5X, Objective: 40X
Calculate total magnification: \( 5 \times 40 = 200 \)X (matches the required magnification)

Step 4: Analyze Option 4

Eyepiece: 5X, Objective: 25X
Calculate total magnification: \( 5 \times 25 = 125 \)X (not 200X)

Answer:

C. 5X eyepiece with a 40X objective