Question

Which one of the following graph represents the correct variation of inductive reactance (\(X_{L}\)) with angular frequency (\(\omega\))?

• A. A
• B. B
• C. C
• D. D

Hint:

Inductive reactance is the product of inductance and angular frequency, so its graph is a straight line through the origin.

Answer 1

The Correct Option is B

Step 1: Write the Relation
$X_{L}=L\omega$, which has the form $y=mx$.

Step 2: Check Limits
At $\omega=0$, $X_{L}=0$, and $X_{L}$ grows steadily as $\omega$ increases.

Step 3: Eliminate
A flat line, a vertical line and a falling line do not fit this behaviour, leaving the rising line from the origin.

Final Answer:
The correct graph is the straight line from the origin, option B. \[ \boxed{\text{(B) }\text{B}} \]