This isn't so simple and in regard to how processors work this is a misguided logic. Processor power consumption is closely connected to their clock frequency. An OC chip will consume/require higher ad hoc wattage input hence draining the battery faster (simply said, with aspects for example regarding erratic power management when working outside of factory specs and so on left alone). Google overclocking vs power consumption and perhaps electric current in regard to microprocessors.
$ cat /sys/devices/system/cpu/cpu0/cpufreq/scaling_max_freq 1200000 $ cat /sys/devices/system/cpu/cpu0/cpufreq/scaling_cur_freq 300000