We first find the equivalent resistance seen by the battery. Resistors and combine to give a resistor, which combines to give a resistor, which combines with to give a resistor, which combines with to give a . The current through this equivalent resistor (which is also the current through ) is
We can find the current through and by the current division formula
Similarly, the currents through and are
Therefore, the voltage across resistor is
Therefore, answer (E) is correct.
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