A microscope using suitable photons is employed to an electron in an atom within a distance of `0.1 Å`. What is the uncertainty involved in the measurment of its velocity? Mass of electron `= 9.11 xx 10^(-31) kg` and `h = 6.626 xx 10^(-34) J s`

Explanation

To find the uncertainty in the measurement of the velocity of an electron within a distance of \(0.1 \, \text{Å}\), we can use Heisenberg's uncertainty principle. Let's go through the solution step by step.

### Step 1: Convert the distance from Ångströms to meters
Given that the uncertainty in position (\(\Delta x\)) is \(0.1 \, \text{Å}\):

\[ \Delta x = 0.1 \, \text{Å} = 0.1 \times 10^{-10} \, \text{m} = 1.0 \times 10^{-11} \, \text{m} \]
...