Example sentences:

Ramayana: When Rama heard from Kaikeyi that he had been exiled, he showed no palpable reaction; he wanted to ensure that his response didn’t make a bad situation worse. 

Mahabharata: Duryodhana had expected his forceful mace attack to at least knock Bhima down, but when it seemed to have no palpable impact on his opponent, he was taken aback and moved back. 

Bhagavad-gita: The soul’s existence is too subtle to be materially palpable, but is logically inferrable from the presence of consciousness.