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photoshop1234 [79]
3 years ago
11

When Sequoia measured the sound from the tube open at one end and closed at the other, she only observed three, equally-spaced,

peaks in the Fourier transform window, and thus recorded three frequencies (150 Hz, 450 Hz, and 750 Hz). If the length of the tube was 0.55 m, what would be the speed of sound that she would calculate using the fundamental frequency she measured?
Physics
1 answer:
Andrei [34K]3 years ago
6 0

Answer: v= 330m/s

Explanation: the length (l) of an open closed pipe is related to the wavelength (λ) as shown in the formulae below

l = λ/4

where l = 0.55m, hence we have that

0.55 = λ/4

λ = 0.55*4

λ = 2.2m

from the question, it can be seen that the fundamental frequency is 150Hz.

Recall that we have v=fλ, where v = speed of wave, f= frequency, λ= wavelength

v =2.2 * 150

v = 330 m/s

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A tree falls in a forest. How many years must pass before the 14C activity in 1.03 g of the tree's carbon drops to 1.02 decay pe
just olya [345]

Answer:

t = 5.59x10⁴ y

Explanation:

To calculate the time for the ¹⁴C drops to 1.02 decays/h, we need to use the next equation:

A_{t} = A_{0}\cdot e^{- \lambda t}    (1)

<em>where A_{t}: is the number of decays with time, A₀: is the initial activity, λ: is the decay constant and t: is the time.</em>

To find A₀ we can use the following equation:  

A_{0} = N_{0} \lambda   (2)

<em>where N₀: is the initial number of particles of ¹⁴C in the 1.03g of the trees carbon </em>

From equation (2), the N₀ of the ¹⁴C in the trees carbon can be calculated as follows:        

N_{0} = \frac{m_{T} \cdot N_{A} \cdot abundance}{m_{^{12}C}}

<em>where m_{T}: is the tree's carbon mass, N_{A}: is the Avogadro's number and m_{^{12}C}: is the ¹²C mass.  </em>

N_{0} = \frac{1.03g \cdot 6.022\cdot 10^{23} \cdot 1.3\cdot 10^{-12}}{12} = 6.72 \cdot 10^{10} atoms ^{14}C    

Similarly, from equation (2) λ is:

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

<em>where t 1/2: is the half-life of ¹⁴C= 5700 years </em>

\lambda = \frac{Ln(2)}{5700y} = 1.22 \cdot 10^{-4} y^{-1}

So, the initial activity A₀ is:  

A_{0} = 6.72 \cdot 10^{10} \cdot 1.22 \cdot 10^{-4} = 8.20 \cdot 10^{6} decays/y    

Finally, we can calculate the time from equation (1):

t = - \frac{Ln(A_{t}/A_{0})}{\lambda} = - \frac {Ln(\frac{1.02decays \cdot 24h \cdot 365d}{1h\cdot 1d \cdot 1y \cdot 8.20 \cdot 10^{6} decays/y})}{1.22 \cdot 10^{-4} y^{-1}} = 5.59 \cdot 10^{4} y              

I hope it helps you!

7 0
4 years ago
What is the reason so many poisonings go undetected at first?
riadik2000 [5.3K]
Poisonings mostly have no taste or smell. Thallium is one of the poisons that are hard to detect. Most of these poisons are always prescribed to many patients and can be misused. We also have to take into consideration thay poisoning attacks our immune system and internal organs. Side effects of poisoning are flue like. So when the individual is feeling ill. nobody is going to think it’s poison at first until about 30 mins to an hour. that’s why it takes so long to be undetected at first. because of the symptoms, smell, taste..... it can really be easy to poison someone
3 0
3 years ago
What is a nucleus i need help please help me
ser-zykov [4K]

Answer:

the positively charged central core of an atom, consisting of protons and neutrons and containing nearly all its mass.

BIOLOGY

Explanation:

7 0
4 years ago
Read 2 more answers
Air "breaks down" when the electric field strength reaches 3 × 106 n/c, causing a spark. A parallel-plate capacitor is made from
Lera25 [3.4K]

Electric field between the plates of parallel plate capacitor is given as

E = \frac{Q}{A\epsilon_0}

here area of plates of capacitor is given as

A = 0.055 * 0.055

A = 3.025 * 10^{-3}

also the maximum field strength is given as

E = 3 * 10^6 N/C

now we will plug in all data to find the maximum possible charge on capacitor plates

3 * 10^6 = \frac{Q}{3.025 * 10^{-3}*8.85 * 10^{-12}}

Q = 8.03 * 10^{-8} C

so the maximum charge that plate will hold will be given by above

3 0
3 years ago
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What is the direction of the magnetic field if an electron moving in the positive x direction experiences a magnetic force in th
Alex787 [66]

Given :

An electron moving in the positive x direction experiences a magnetic force in the positive z direction.

To Find :

The direction of the magnetic field.

Solution :

We know, force is given by :

\vec{F}=q(\vec{v}\times \vec{B)}

Here, q = -e.

\vec{F}=(-e)(\vec{v}\times \vec{B)}\\\\\hat{k}=(-e)(\hat{i}\times \vec{B})

Now, for above condition to satisfy :

\hat{i}\times \vec{B}=-\hat{k}

So, \vec{B}=-\hat{j}

Therefore, direction of magnetic field is negative y direction.

Hence, this is the required solution.

7 0
4 years ago
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