The velocity of an electron in the second Bohr orbit of an element is `1.1 xx 10^(6) m s^(-1)` Its velocity in the third orbit is

Options

A. `3.3 xx 10^(6) m s^(-1)`
B. `2.2 xx 10^(6) m s^(-1)`
C. `7.333 xx 10^(5) m s^(-1)`
D. `3.66 xx 10^(5) m s^(-1)`

Explanation

To find the velocity of an electron in the third Bohr orbit given that its velocity in the second Bohr orbit is \(1.1 \times 10^6 \, \text{m/s}\), we can use the formula for the velocity of an electron in the nth orbit of a hydrogen-like atom:

\[ v_n = k \cdot \frac{Z}{n} \]

Where:
- \(v_n\) is the velocity in the nth orbit,
...