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MissTica
3 years ago
15

Which option would it be

Physics
1 answer:
guapka [62]3 years ago
7 0
It would be 4 atm, because the way to figure out the final pressure is that (P1)(V1)=(P2)(V2)

meaning that the original pressure x original volume is equal to the final pressure x final volume. This gas law is called Boyle's law if you'd like to learn more about it.

But (1 atm)(40 mL)=(4 atm)(10 mL)

So it would be the second choice.
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Which theory proposed by Galileo is considered a “big mistake of his life”? What did the theory state, and why was it a “big mis
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An lc circuit oscillates at a frequency of 2000 Hz. What will the frequency be if the inductance is quadrupled?
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<h2>Answer:</h2>

An LC circuits if formed by an inductor and a capacitor. The charge on the capacitor and the current through the inductor both vary sinusoidally with time. Also, energy is transferred between magnetic energy in the inductor and electrical energy in the  capacitor. But <em>what happens with the frequency if the inductance is quadrupled? </em>that is, if initially the inductance is L and the frecuency f=2000Hz if now L_{New}=4L What will the frequency be? Well, we know that the frequency, inductance and capacitance are related as:

f=\frac{1}{2\pi}\sqrt{\frac{1}{LC}}

and this equals 2000Hz. If now L is quadrupled:

f_{1}=\frac{1}{2\pi}\sqrt{\frac{1}{4LC}}=\frac{1}{2\pi}\sqrt{\frac{1}{4}}\sqrt{\frac{1}{LC}} \\ \\ \therefore f_{1}=(\frac{1}{2})\frac{1}{2\pi}\sqrt{\frac{1}{LC}} \\ \\ \\ Since \ f=\frac{1}{2\pi}\sqrt{\frac{1}{LC}} \ then: \\ \\ f_{1}=\frac{1}{2}f \therefore f_{1}=\frac{2000}{2} \\ \\ \therefore \boxed{f_{1}=1000Hz}

<em>Finally, if L is quadrupled the frequency is half the original frequency and equals 1000Hz</em>

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Pressure is the answer
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