Answer :
The fact that the base of the basilar membrane responds best to high frequencies supports the Place theory of hearing.
The place theory of hearing states that the different parts of the basilar membrane respond to sounds of different frequencies. We hear different pitches due to specific frequencies vibrating specific parts on the basilar membrane.
As mentioned, the base part of the basilar membrane responds best to high frequencies but the tip of the basilar membrane won't respond in the same way. the tip of the basilar membrane will respond best to sounds of low frequency.
It also states that the pitch of a sound is determined by the place of vibration of the membrane.
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we can hear different pitches due to specific sound frequencies causing vibrations in specific parts on the basilar membrane of the cochlea