As Ghanima mentioned, splitting a 1 A power supply between a Raspberry Pi 2, and an external hard drive is unlikely to perform well. Further, the capacity of the drive isn't likely to make much of a difference. You might might have more luck with lower RPM drives, but again, I'd caution against it.
You have two options:
Get a better power supply. A 2 A power supply should power both the RPi and the drive without issues. Make sure to add max_usb_current=1
to the config.txt
file.
Get an externally powered hub. If you have additional power hungry devices like a wifi or bluetooth module, this is definitely the better way to go. Some hard drives like to suck more power than others when they first start, and the externally powered hub could protect you from issues where the HDD is pulling in large spikes.