Column-I Column-II (A)Capacitive reactance (i) Will continuously increase (B) Inductive reactance (ii) Will remain constant Resistance (iii) < t d > W i l l f i r s t d e c r e a s e a n d t h e n < / t d > < / t r > < t r > < t d > < / t d > i n c r e a s e < t d > \begin{array}{l}<td> Will first decrease and then</td></tr><tr><td></td> increase <td>\end{array} < t d > Wi ll f i rs t d ecre a se an d t h e n < / t d >< / t r >< t r >< t d >< / t d > in cre a se < t d > Total impedance (iv) Will continuously decrease
)
Options A ( A ) − ( i v ) , ( B ) − ( i ) , ( C ) − ( i i ) , ( D ) − ( i i i ) (\mathrm{A})-(\mathrm{iv}),(\mathrm{B})-(\mathrm{i}),(\mathrm{C})-(\mathrm{ii}),(\mathrm{D})-(\mathrm{iii}) ( A ) − ( iv ) , ( B ) − ( i ) , ( C ) − ( ii ) , ( D ) − ( iii ) B (A) - (i), (B) - (iii), (C) - (iv), (D) - (ii) C ( A ) − ( i i ) , ( B ) − ( i i i ) , ( C ) − ( i ) , ( D ) − ( i v ) (\mathrm{A})-(\mathrm{ii}),(\mathrm{B})-(\mathrm{iii}),(\mathrm{C})-(\mathrm{i}),(\mathrm{D})-(\mathrm{iv}) ( A ) − ( ii ) , ( B ) − ( iii ) , ( C ) − ( i ) , ( D ) − ( iv ) D ( A ) − ( i ) , ( B ) − ( i v ) , ( C ) − ( i i ) , ( D ) − ( i i i ) (A)-(i),(B)-(i v),(C)-(i i),(D)-(i i i) ( A ) − ( i ) , ( B ) − ( i v ) , ( C ) − ( ii ) , ( D ) − ( iii ) Correct answer A. ( A ) − ( i v ) , ( B ) − ( i ) , ( C ) − ( i i ) , ( D ) − ( i i i ) (\mathrm{A})-(\mathrm{iv}),(\mathrm{B})-(\mathrm{i}),(\mathrm{C})-(\mathrm{ii}),(\mathrm{D})-(\mathrm{iii}) ( A ) − ( iv ) , ( B ) − ( i ) , ( C ) − ( ii ) , ( D ) − ( iii )
Step-by-step solution
X C = 1 ω C , so X C ∝ 1 ω ∴ ( A ) − ( i v ) X L = ω L , so X L ∝ ω ∴ ( B ) − ( i ) \begin{aligned} & \mathrm{X}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}, \text{ so } \mathrm{X}_{\mathrm{C}} \propto \frac{1}{\omega} \\ & \therefore(\mathrm{A})-(\mathrm{iv}) \\ & \mathrm{X}_{\mathrm{L}}=\omega \mathrm{L}, \text{ so } \mathrm{X}_{\mathrm{L}} \propto \omega \\ & \therefore(\mathrm{B})-(\mathrm{i})\end{aligned} X C = ω C 1 , so X C ∝ ω 1 ∴ ( A ) − ( iv ) X L = ω L , so X L ∝ ω ∴ ( B ) − ( i ) And
R \mathrm{R} R is not a function of
ω ∴ ( C ) − ( i i ) \omega \therefore(\mathrm{C})-(\mathrm{ii}) ω ∴ ( C ) − ( ii )
Impedence
Z \mathrm{Z} Z is the minimum at resonance frequency.
∴ ( D ) − ( i i i ) \therefore(\mathrm{D})-(\mathrm{iii}) ∴ ( D ) − ( iii )
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