A) 1 : 4
B) 3 : 2
C) 4 : 3
D) 2 : 3
Correct Answer: B
Solution :
Here: \[{{P}_{1}}=40W,{{P}_{2}}=60W\] voltage = 220V Using the relation for power \[P=\frac{{{V}^{2}}}{R}\propto \frac{1}{R}\] Or \[R\propto \frac{1}{P}\] Hence, \[\frac{{{R}_{1}}}{{{R}_{2}}}=\frac{{{P}_{2}}}{{{P}_{1}}}=\frac{60}{40}=\frac{3}{2}\] Ratio of\[{{R}_{1}}\]and\[{{R}_{2}}\]is\[3:2\]
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