The magnification produced by the objective lens and the eye lens of a compound microscope are 25 and 6 respectively. The magnifying power of this microscope is

Options

A. 19
B. 31
C. 150
D. `sqrt(150)`

Answer

To find the magnifying power of a compound microscope, we need to use the magnification produced by both the objective lens and the eye lens. Here’s a step-by-step solution:

### Step 1: Identify the given values
We are given:
- Magnification produced by the objective lens (M_o) = 25
- Magnification produced by the eye lens (M_e) = 6

### Step 2: Understand the formula for total magnifying power
The total magnifying power (M) of a compound microscope is the product of the magnifications produced by the objective lens and the eye lens. This can be expressed as:
\[ M = M_o \times M_e \]

### Step 3: Substitute the values into the formula
Now, we substitute the given values into the formula:
\[ M = 25 \times 6 \]

### Step 4: Calculate the total magnifying power
Now, we perform the multiplication:
\[ M = 150 \]

### Step 5: State the final answer
The magnifying power of the compound microscope is:
\[ \text{Magnifying Power} = 150 \]