practice calculation questions: show all your work and be sure to include units in your final answers.
1. you are in an anatomy and physiology lab observing onion cells under a microscope. answer the following questions
a. if the magnification of the ocular lens of your microscope is 10x, calculate the magnification at
i. low power (magnification of objective lens is 5x)
ii. medium power (magnification of objective lens is 10x)
iii. high power (magnification of objective lens is 50x)
b. dfov under low power is 3.65 mm, calculate dfov for (*use your answers from a.)
i. medium power
ii. high power
c. if the onion cell spans the dfov 5.75 times at high power, calculate the size of the onion cell
2. the magnification of the ocular lens of a microscope is 10x and the magnification of the objective lens for low, medium, and high power are 4x, 10x, and 40x, respectively. the measured dfov under medium power is 2.6mm. if 15 cells are observed across the dfov under the high power, how long is each cell?
3. use the diagrams below and the information provided determine what the size of the object is.

Question

practice calculation questions: show all your work and be sure to include units in your final answers.
1. you are in an anatomy and physiology lab observing onion cells under a microscope. answer the following questions
a. if the magnification of the ocular lens of your microscope is 10x, calculate the magnification at
   i. low power (magnification of objective lens is 5x)
   ii. medium power (magnification of objective lens is 10x)
   iii. high power (magnification of objective lens is 50x)
b. dfov under low power is 3.65 mm, calculate dfov for (*use your answers from a.)
   i. medium power
   ii. high power
c. if the onion cell spans the dfov 5.75 times at high power, calculate the size of the onion cell
2. the magnification of the ocular lens of a microscope is 10x and the magnification of the objective lens for low, medium, and high power are 4x, 10x, and 40x, respectively. the measured dfov under medium power is 2.6mm. if 15 cells are observed across the dfov under the high power, how long is each cell?
3. use the diagrams below and the information provided determine what the size of the object is.

Accepted Answer

### Question 1a i
# Explanation:
## Step1: Recall magnification formula
Total magnification = Ocular magnification × Objective magnification
## Step2: Substitute values
Ocular = 10X, Objective (low power) = 5X
Total magnification = $ 10 \times 5 = 50 $X
# Answer: 50X

### Question 1a ii
# Explanation:
## Step1: Use magnification formula
Total magnification = Ocular × Objective
## Step2: Substitute values
Ocular = 10X, Objective (medium power) = 10X
Total magnification = $ 10 \times 10 = 100 $X
# Answer: 100X

### Question 1a iii
# Explanation:
## Step1: Apply magnification formula
Total magnification = Ocular × Objective
## Step2: Substitute values
Ocular = 10X, Objective (high power) = 50X
Total magnification = $ 10 \times 50 = 500 $X
# Answer: 500X

### Question 1b i (Medium Power dFOV)
# Explanation:
## Step1: Recall dFOV formula
$ \text{dFOV}_{\text{new}} = \frac{\text{dFOV}_{\text{old}} \times \text{Mag}_{\text{old}}}{\text{Mag}_{\text{new}}} $
Old dFOV (low power) = 3.65 mm, Old Mag (low) = 50X, New Mag (medium) = 100X
## Step2: Substitute values
$ \text{dFOV}_{\text{medium}} = \frac{3.65 \times 50}{100} = 1.825 $ mm
(Note: The handwritten work had an error; correct calculation uses 50X (low mag) and 100X (medium mag))
# Answer: 1.825 mm

### Question 1b ii (High Power dFOV)
# Explanation:
## Step1: Use dFOV formula
$ \text{dFOV}_{\text{high}} = \frac{\text{dFOV}_{\text{low}} \times \text{Mag}_{\text{low}}}{\text{Mag}_{\text{high}}} $
dFOV$_{\text{low}}$ = 3.65 mm, Mag$_{\text{low}}$ = 50X, Mag$_{\text{high}}$ = 500X
## Step2: Substitute values
$ \text{dFOV}_{\text{high}} = \frac{3.65 \times 50}{500} = 0.365 $ mm
(Handwritten work had an error; correct mags are 50X (low) and 500X (high))
# Answer: 0.365 mm

### Question 1c (Onion Cell Size)
# Explanation:
## Step1: Recall object size formula
$ \text{Object Size} = \frac{\text{dFOV}_{\text{high}}}{\text{Number of cells across dFOV}} $
From 1b ii, dFOV$_{\text{high}}$ = 0.365 mm (corrected), cells = 5.75
## Step2: Substitute values
$ \text{Object Size} = \frac{0.365}{5.75} \approx 0.0635 $ mm
(Handwritten used incorrect dFOV; correct with 0.365 mm)
# Answer: ~0.064 mm (or 0.0635 mm)

### Question 2 (Cell Length)
# Explanation:
## Step1: Find dFOV for high power
$ \text{dFOV}_{\text{high}} = \frac{\text{dFOV}_{\text{medium}} \times \text{Mag}_{\text{medium}}}{\text{Mag}_{\text{high}}} $
dFOV$_{\text{medium}}$ = 2.6 mm, Mag$_{\text{medium}}$ = 10×10 = 100X, Mag$_{\text{high}}$ = 10×40 = 400X
$ \text{dFOV}_{\text{high}} = \frac{2.6 \times 100}{400} = 0.65 $ mm
## Step2: Calculate cell size
$ \text{Cell Size} = \frac{\text{dFOV}_{\text{high}}}{\text{Number of cells}} = \frac{0.65}{15} \approx 0.0433 $ mm
(Handwritten error: used 2.6/15, but dFOV$_{\text{high}}$ is 0.65 mm)
# Answer: ~0.043 mm

### Question 3 (Object Size)
# Explanation:
## Step1: Verify dFOV calculation
$ \text{dFOV} = \frac{3.5 \, \text{mm} \times 40 \times}{100 \times} = 1.4 $ mm (handwritten had 3.5×40/100=1.4, not 2)
## Step2: Object size formula
$ \text{Object Size} = \frac{\text{dFOV}}{\text{Scale factor}} $ (Scale factor = 1.25)
$ \text{Object Size} = \frac{1.4}{1.25} = 1.12 $ mm
(Handwritten dFOV calculation was wrong; 3.5×40=140, 140/100=1.4)
# Answer: 1.12 mm

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QUESTION IMAGE

Question

Explanation:

Question 1a i

Step1: Recall magnification formula

Step2: Substitute values

Step1: Use magnification formula

Step2: Substitute values

Step1: Apply magnification formula

Step2: Substitute values

Answer:

Question 1a ii