Gourang made an electric circuit with three bulbs `B_(1), B_(2)` and `B_(3)` a cell and two switches `S_(1)` and `S_(2)` as shown in figure. He notes his observation when

(a) `S_(1)` is closed and `S_(2)` is open,
(b) `S_(2)` is closed and `S_(1)` is open.
He also found that a bulb whose failure made the circuit 'open' irrespective of the status of `S_(1)` and `S_(2)` . What are his observation.

Options

A. `a gt b gt 0`
B. `b gt a gt 0`
C. `a gt 0, b lt 0 ` but `|b| gt a`
D. `alt 0, b lt 0` but `b lt |a|`

Answer

B