emitter is more heavily doped than collector...
u know the theory... more holes/electrons.. more diffusion... larger pn junction
so the emitter base junction is larger than base collecter..
hence i say ur ans is (c)
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i am strongly against (e) for the reason that the depletion layer can only vanish iff it is forward biased, but base-collector is always reverse biased... hence the B-C depletion layer exists for sure!