An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Let's go through the multiple-choice questions one by one:
What does U represent in sets?
(c) An universal set : In set theory, U typically represents the universal set. This is the set that contains all the objects or elements under consideration in a particular context.
Which term is used for two sets having no common elements?
(b) Disjoint sets : Disjoint sets are sets that do not share any elements in common. Their intersection is the empty set.
Which of the following represents the associative property of intersection?
(a) ( A ∩ B ) ∩ C = A ∩ ( B ∩ C ) : This expression shows the associative property of intersection, which states that the way in which sets are grouped in terms of intersection does not change the result.
If P = { 1 , 2 , 3 … 50 } and Q = { 1 , 3 , 5 , 7 … 49 } , what is P − Q ?
(b) {2, 4, 6, 8, \ldots 50} : Here, P − Q represents the difference between the sets, meaning all elements in set P that are not in set Q . Since Q is the set of odd numbers up to 49, P − Q will be the set of even numbers from 2 to 50.
If A and B are two sets, then what is B/A?
(b) Difference of two sets : B / A typically denotes the difference of two sets, meaning all elements that are in B but not in A .
If A and B are two sets, then which of the answer is correct for the set containing all the elements of either set A or set B?
(b) Union of A and B : The union of sets A and B , denoted as A ∪ B , will include all elements that are in either set A or set B or in both. This is distinct from the intersection, which only includes elements found in both sets.
To find the number of electrons flowing through an electric device, we first calculate the total charge using the formula Q = I × t, which gives us 450 C. Then, we convert the charge into the number of electrons using n = Q/e, leading to approximately 2.81 × 10^21 electrons. Thus, about 2.81 × 10^21 electrons flow through the device in 30 seconds.
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