In an atom electrons revolves around the nucleus along a path of radius 0.72Ã… making `9.4xx 10^(18)` revolution per second. The equivalent current is `(e=1.6xx10^(-19) C) `

Options

A. 1.2A
B. 1.5A
C. 1.4A
D. 1.8A

Explanation

To find the equivalent current due to an electron revolving around the nucleus of an atom, we can follow these steps:

### Step 1: Understand the Concept of Current
Current (I) is defined as the charge (Q) passing through a point in a circuit per unit time (t). Mathematically, it is expressed as:
\[ I = \frac{Q}{t} \]

### Step 2: Identify the Given Values
From the problem, we have:
- Charge of an electron, \( e = 1.6 \times 10^{-19} \) C
- Frequency of revolution, \( \nu = 9.4 \times 10^{18} \) revolutions/second

### Step 3: Relate Current to Charge and Frequency
Since the electron completes \( \nu \) revolutions in one second, the time period (T) for one revolution is:
\[ T = \frac{1}{\nu} \]
Thus, the current can also be expressed as:
\[ I = e \cdot \nu \]

### Step 4: Substitute the Values
Now, substituting the values into the equation:
\[ I = (1.6 \times 10^{-19} \, \text{C}) \times (9.4 \times 10^{18} \, \text{revolutions/second}) \]

### Step 5: Calculate the Current
Now we perform the multiplication:
\[ I = 1.6 \times 9.4 \times 10^{-19} \times 10^{18} \]
\[ I = 15.04 \times 10^{-1} \]
\[ I = 1.504 \, \text{A} \]

### Conclusion
The equivalent current due to the electron revolving around the nucleus is:
\[ I = 1.504 \, \text{A} \]