Answer:
(a) 0.0113 ±0.0001 inches
(b) 5 decks
Explanation:
<u>Given information</u>
52 cards, thickness is 0.590 ±0.005 inches
Since this is thickness of all the cards, to get the thickness of a single card we divide the total thickness (plus uncertainty) by the number of cards hence
1 card=±
= 0.0113461 ±0.000096 inches
Considering that thickness is given to 3 significant figures while uncertainty is to 1 significant figure, the final answer should also conform to these hence giving the first part of the answer to 3 significant figures while second part to 1 significant figure yields 0.0113 ±0.0001 inches
(b)
Considering that the cards have uncertainty of 0.0001 inches and the number of decks, n required to create uncertainty of 0.00002 inch is given by
We need 5 decks for the given uncertainty