A) \[\frac{5}{2},\,\frac{2}{5}\]
B) \[\frac{5}{2},\,\frac{5}{2}\]
C) \[\frac{2}{5},\,\frac{5}{2}\]
D) \[\frac{2}{5},\,\frac{2}{5}\]
Correct Answer: A
Solution :
Resistance \[{{R}_{1}}\] of 500 W bulb \[=\frac{{{(220)}^{2}}}{500}\] Resistance \[{{R}_{2}}\] of 200 W bulb \[=\frac{{{(220)}^{2}}}{200}\] When joined in parallel, the potential difference across both the bulbs will be same. Ratio of heat produced \[=\frac{{{V}^{2}}/{{R}_{1}}}{{{V}^{2}}/{{R}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}=\frac{5}{2}\] When joined in series, the same current will flow through both the bulbs. Ratio of heat produced \[=\frac{{{i}^{2}}{{R}_{1}}}{{{i}^{2}}{{R}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{2}{5}\]
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