Six similar bulbs are connected as shown in the figure with a DC source of emf E and zero internal |
resistance. The ratio of power consumption by the bulbs when (i) all are glowing and (ii) in the situation when two from section A and one from section B are glowing, will be. [NEET 2019] |
A) 1 : 2
B) 2 : 1
C) 4 : 9
D) 9 : 4
Correct Answer: D
Solution :
[d] When all bulbs are glowing |
\[{{R}_{eq}}=\frac{R}{3}+\frac{R}{3}=\frac{2R}{3}\] |
\[Power\,{{P}_{1}}=\frac{3{{E}^{2}}}{2R}\]----------------- (i) |
In case two |
\[{{R}_{eq}}=\frac{3R}{2}\] |
\[Power\,{{P}_{2}}=\frac{2{{E}^{2}}}{3R}\]--------------- (ii) |
\[\frac{{{P}_{1}}}{{{P}_{2}}}=\frac{3}{2}\times \frac{3}{2}=\frac{9}{4}\] |
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