Askiitians Tutor Team
Last Activity: 5 Months ago
To determine the current associated with the motion of an electron in a hydrogen atom, we can use the relationship between current, charge, and time. The current (I) can be calculated using the formula:
Understanding Current in Electron Motion
The current is defined as the charge passing through a point in a circuit per unit time. Mathematically, this is expressed as:
I = Q / T
Where:
- I is the current in amperes (A).
- Q is the charge in coulombs (C).
- T is the time in seconds (s).
Step-by-Step Calculation
In the case of the hydrogen atom, the electron has a charge of approximately:
Q = 1.6 x 10-19 C
The time period (T) for one complete revolution of the electron around the nucleus is given as:
T = 1.5 x 10-16 s
Now, substituting these values into the current formula:
I = Q / T = (1.6 x 10-19 C) / (1.5 x 10-16 s)
Performing the Calculation
Calculating the current:
I = 1.6 x 10-19 / 1.5 x 10-16
To simplify this, we can divide the coefficients and subtract the exponents:
I = (1.6 / 1.5) x 10-19 + 16
I = 1.0667 x 10-3 A
Final Result
Thus, the current associated with the electron motion in the hydrogen atom is approximately:
I ≈ 1.066 x 10-3 A
From the options provided, the correct answer is:
A) 1.066 x 10-3 A
Conclusion
This calculation illustrates how the motion of an electron can be related to electrical current, providing insight into the fundamental principles of atomic structure and quantum mechanics. By understanding these relationships, we can better appreciate the behavior of subatomic particles and their implications in the field of physics.
