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Digiron [165]
3 years ago
5

A string of 10 lightbulbs is wired in such a way that if any individual bulb goes out, theentire string fails. If for each indiv

idual bulb, the probability of going out over a certaintime period is 0.06, what is the probability that the string will fail during said time period
Physics
1 answer:
Anna35 [415]3 years ago
8 0

Answer:

Explanation:

p = 1 - (1 - 0.06)¹⁰ = 0.46

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An unknown radioactive sample is observed to decrease in activity by a factor of two in a one hour period. What is its half-life
elena55 [62]

Answer:

The half-life is t_{1/2} = 1.005 h

Explanation:

Using the decay equation we have:

A=A_{0}e^{-\lambda t}

Where:

  • λ is the decay constant
  • A(0) the initial activity
  • A is the activity at time t

We know the activity decrease by a factor of two in a one hour period (t = 1 h), it means that A = \frac{A_{0}}{2}

\frac{A_{0}}{2}=A_{0}e^{-\lambda*1 h}

0.5=e^{-\lambda*1 h}

Taking the natural logarithm on each side we have:

ln(0.5)=-\lambda

\lambda=0.69 h^{-1}

Now, the relationship between the decay constant λ and the half-life t(1/2) is:

\lambda = \frac{ln(2)}{t_{1/2}}

t_{1/2} = \frac{ln(2)}{\lambda}

t_{1/2} = \frac{ln(2)}{0.69}

t_{1/2} = 1.005 h

I hope it helps you!

6 0
3 years ago
The power source with the lowest environmental impact is
shutvik [7]
Nuclear Fission s a power source with a very low environmental impact.
5 0
3 years ago
Two positive charges are labeled q Subscript 1 baseline and q Subscript 2 baseline are 0.1 m apart. Two positively charged parti
Snowcat [4.5K]

Answer:

Explanation:

Let that point be at a distance x from q1

Then Kq1/x^2= Kq2/ (s-x)^2

Taking square roots and simplifying, x =s /[1+(q2/q1)^0.5]

Assuming an identical distance, the rigidity of Q on 2Q is equivalent in value to the rigidity of 2Q on Q. for that reason, had the area R been stored an identical, the two forces could be equivalent. inspite of the shown fact that, via fact the area is being decreased, we could constantly consult with the equation we use to calculate those forces: F = ok(Q1xQ2)/(R^2) because R is squared and is being halved, the final result's that's it being divided by potential of a million/4. for that reason, the rigidity would be expanded by potential of four, and be 4F.

4 0
4 years ago
What is an accurate definition of a heat engine?
Sedaia [141]
<span>A device for producing motive power from heat, such as a gasoline engine.</span>
5 0
3 years ago
The emerging field of architectural climatology centers on the potential of as-yet-undeveloped architecture and landscaping to a
Wittaler [7]

Answer: the correct one is E .systems; for example, hurricanes could be prevented from forming by artificial "reefs" of precisely shaped marine platforms

Explanation:

(A) The portion after the semi-colon (for instance, ... platforms) is not a complete sentence.

(B) The portion after the semi-colon (for example, ... forming) is not a complete sentence.

(C) Which ... "reefs" ... prevent forming is unidiomatic; from is needed between prevent and forming. Prevent appears in the present tense, illogically implying that the artificial reefs—which don't yet exist, according to the earlier part of the sentence—already prevent the formation of hurricanes.

(D) The construction such as artificial "reefs" illogically implies that artificial reefs are weather systems. Additionally, the use of can in the present tense (as opposed to could) illogically implies that the artificial reefs—which don't yet exist, according to the earlier part of the sentence—do already exist.

(E) CORRECT. The semicolon is properly used to separate two complete sentences. Could is correctly used to describe a hypothetical consequence.

6 0
3 years ago
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