In an electron microscope the acclerating voltage is increased from 20kv to 80kv. The resolving power of the microscope will become

Options

A. Doubled
B. Halved
C. Quadrupted
D. Tripled

Explanation

To solve the problem of how the resolving power of an electron microscope changes when the accelerating voltage is increased from 20 kV to 80 kV, we can follow these steps:

### Step 1: Understand the relationship between voltage and wavelength
In an electron microscope, the wavelength (λ) of the electrons is inversely proportional to the square root of the accelerating voltage (V). This can be expressed mathematically as:
\[ \lambda \propto \frac{1}{\sqrt{V}} \]

### Step 2: Determine the change in voltage
The voltage is increased from 20 kV to 80 kV. We can express this change as:
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