What is the wavelength of an earthquake wave if it has a speed of 7 km/s and a frequency of 3 Hz?

An experiment on the earth's magnetic field is being carried out 1.00 m from an electric cable. What is the maximum allowable cu

Whitepunk [10]

Answer:

The allowed current in the cable is 1.15 A.

Explanation:

Given that,

Distance = 1.00 m

Suppose the magnetic field is $2.3\times10^{-5}\ T$ and if the experiment is to be accurate to 1.0 %

We need to calculate the current

Using formula of magnetic field

$B=\dfrac{\mu_{0}I}{2\pi r}$

$I=\dfrac{B\times2\pi r}{\mu_{0}}$

Put the value into the formula

$I=\dfrac{2.3\times10^{-5}\times2\times\pi\times1.00}{4\pi\times10^{-7}}$

$I=115\ A$

If the experiment is to be accurate to 1.0%

Then,

We need to calculate the allowed current in the cable

$I'=(1.0%)\times I$

$I'=\dfrac{1.0}{100}\times115$

$I'=1.15\ A$

Hence, The allowed current in the cable is 1.15 A.

4 0

3 years ago

How to write the formula for water

notsponge [240]

H2O is how you write the formula for water

3 0

3 years ago

A common prism or grating shows the solar spectrum to be a rainbow of colors. But if you spread the spectrum out enough you begi

mafiozo [28]

I think it's spectrum wavelengths

6 0

3 years ago

The interaction of air,water,and ____ results in weather

kari74 [83]

Answer:

Heat

Explanation:

This combo can cause weather such as tornados,hurricanes and storms.

6 0

4 years ago

Plutonium-239 is a radioactive isotope commonly used as fuel in nuclear reactors. The half-life of plutonium-239 is 24,100 year

r-ruslan [8.4K]

Answer:

72,300 years.

Explanation:

Initial mass of this sample: 504 grams;

Current mass of this sample: 63 grams.

What's the ratio between the current and the initial mass of this sample? In other words, what fraction of the initial sample hasn't yet decayed?

$\displaystyle \frac{\text{Current Mass}}{\text{Initial Mass}} = \rm \frac{63\; g}{504\; g} = \frac{1}{8}$ .

The value of this fraction starts at 1 decreases to 1/2 of its initial value after every half-life. How many times shall 1/2 be multiplied to 1 before reaching 1/8? $2^{3} = 8$ . It takes three half-lives or $3\times 24100 = 72300$ years to reach that value.

In certain questions the denominator of the fraction is large. It might not even be an integer power of 2. The base-x logarithm function on calculators could help. Evaluate

$\displaystyle \log_{\frac{1}{2}}{\frac{1}{8}} = 3$ to find the number of half-lives required. In case the base-x logarithm function isn't available, but the natural logarithm function $\ln()$ is, apply the following expression (derived from the base-changing formula) to get the same result:

$\displaystyle \frac{\displaystyle\ln{\left(\frac{1}{8}\right)}}{\displaystyle \ln{\left(\frac{1}{2}\right)}}$ .

3 0

3 years ago