Which number is greatest? A.6.23*10^12 B.6.23*10^8 C.6.23*10^-6 D.6.23*10^3
2 answers:
For this case, they ask us which of the given numbers, in scientific notation, is greater.
So:
is equivalent to rolling the decimal 12 times to the right.
is equivalent to rolling the decimal 8 times to the right.
is equivalent to rolling the decimal 6 times to the left.
is equivalent to rolling the decimal 3 times to the right.
Thus, we observe that the greatest number is
Answer:
Option A
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Answer:
(A)
(B) Frequency becomes half.
Step-by-step explanation:
We have been given that the frequency f of vibration of a violin string is inversely proportional to its length L. The constant of proportionality k is positive and depends on the tension and density of the string.
(A) We know that two inversely proportional quantities are in form , where y is inversely proportional to x and k is constant of proportionality.
Upon substituting our given values, we will get:
Therefore, our required equation would be .
(B) For part, we have been given that length is twice, so our new frequency will be and new length
is
.
Upon substituting in our equation as:
Upon comparing with
, we can see that
is half the value of
.
Therefore, the frequency of vibration of violin gets half, when we double the length of the string.