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Q.

Assuming all bulbs are identical, rank the brightnesses of the bulbs, from brightest to dimmest.

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a

A > B - C > D - H > E - F = G

b

A > D - H > B - C > E - F = G

c

All have equal brightness

d

A > D - H > E - F - G > B = C

answer is A.

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Detailed Solution

For the branch containing A, B and C.

Req=3R2

Current in A : I1=EReq=  2E3R

Current in each of B and C = I'1=I12=  E3R

For the branch containing D, E, F, G and H:

Req=7R3

Current through D and H: I2=3E7R

Current through each of E, F and G:

I'1=I23=  E7R   Since  I1  >I2>  I'1>  I'

A > D = H > B = C > E = F = G

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