Read the statement carefully and choose the correct option.
Correct answer: A. 80Hz
- A. 80Hz
- B. 800Hz
- C. 8000Hz
- D. 50Hz
Explanation
The reactance (XL) of an inductor is calculated using the formula XL=2πfL. Given the inductance (L) of 1 henry and the reactance (XL) of 500 ohms, the equation becomes 500Ω=2πf(1H). Solving for the frequency (f), we find f = 500Ω/2π ≈ 79.577Hz. Therefore, the closest choice is 80Hz.Other options like 800Hz, 8000Hz, and 50Hz are incorrect as they do not satisfy the equation with the provided values. Specifically, 800Hz and 8000Hz would lead to higher reactance values, while 50Hz would give a much lower reactance.
This question appeared on the ETEA MDCAT 2016 paper, which you can sit online with every answer explained.
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