Three resistances of equal value are connected in four different combinations as

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Question -

Three resistances of equal value are connected in four different combinations as shown in figure. Arrange them in increasing order of power dissipation

Options:

A .

I I I < I I < I V < I

B .

I I < I I I < I V < I

C .

I < I V < I I I < I I

D .

I < I I I < I I < I V

Answer: Option B
:
B

Let R be the value of each resistance. The resistances of combinations I, II, III and IV are 3R, $\frac{2 R}{3}$ , $\frac{R}{3}$ and $\frac{3 R}{2}$ respectively. Now power dissipation is inversely proportional to resistance

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