A marble of 10g is gently positioned on a horizontal tabletop which is 1.75 wide.
i) Determine the maximum uncertainty in the horizontal place of the marble?
ii) According to the Heisenberg uncertainty principle, determine the minimum uncertainty in the horizontal velocity of the marble?
iii) In light of your answer to part (ii), determine the longest time the marble could remain on the table?
iv) Compare this time to the age of the universe that is around 14 billion years.
Deduce your answer by using two significant figures.