A) \[{{R}_{A}}<{{R}_{B}}\]
B) \[{{R}_{A}}={{R}_{B}}\]
C) \[{{R}_{A}}>{{R}_{B}}\]
D) None of these
Correct Answer: A
Solution :
Since, bulbs A and B are connected in parallel, therefore the potential across both the bulbs is same, i.e., \[V{{=}^{i}}_{A}{{R}_{A}}={{i}_{B}}{{R}_{B}}\] But bulb A glow more than bulb B Therefore, \[{{i}_{A}}{{>}^{i}}_{B}\] Hence, \[{{R}_{A}}<{{R}_{B}}\] \[\left[ i\alpha \frac{1}{R} \right]\]
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