As per the given graph, choose the correct representation for curve A and curve B.
Where X_C= reactance of pure capacitive circuit connected with A.C. source
X_L= reactance of pure inductive circuit connected with A . C. source
R = impedance of pure resistive circuit connected with A.C. source.
Z= Impedance of the LCR series circuit }

Solution

Physics sir · 3 steps

Ask how each quantity depends on f: one falls as 1/f, one rises in a straight line from zero.

1. Read the curves. Curve A starts very high and falls towards zero as f grows, like a hyperbola. Curve B is a straight line through the origin, so it is directly proportional to f.

   Quantity	Formula	How it varies with f	Shape on the graph
   X_C	1/(2π f C)	∝ 1/f	falling hyperbola (curve A)
   X_L	2π f L	∝ f	straight line through origin (curve B)
   R	R	independent of f	horizontal line
   Z	√(R² + (X_L - X_C)²)	falls, then rises	U-shape, minimum R at resonance

2. Match the shapes. Only X_C falls as 1/f, so it is curve A. Only X_L grows in direct proportion to f starting from zero, so it is curve B.
3. So. Curve A is X_C and curve B is X_L, which is option (c).

The idea to keep. Remember the four shapes against frequency: X_L is a rising straight line, X_C is a falling hyperbola, R is flat, and Z is a U with its lowest point R at resonance.

Answer from the NTA final answer key. Solution by PrepWiser.