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Sveta_85 [38]
3 years ago
7

If the temperature of the solar surface is 5800 K and Wien's law for the peak wavelength of the spectrum of the Sun, assumed to

be a blackbody, is given by max T = 2.9  106, with T in Kelvins and  in nanometers (nm), what is the expected dominant wavelength of the Sun (in nanometers)
Physics
1 answer:
enot [183]3 years ago
6 0

Answer:

The dominant wavelength of the sun is 499.65nm

Explanation:

Wien's law is defined as:

\lambda_{max} T = c (1)

Where \lambda_{max} is the maximum wavelength, c is the Wien's constant and T is the temperature.

Therefore, \lambda_{max} can be isolated from equation 1.  

\lambda_{max} = \frac{c}{T} (2)

\lambda_{max} = \frac{2.898x10^{-3}m\cdot K}{T}

Notice that it is necessary to express the Wien's constant in units of meters

c = 2.898x10^{-3}m\cdot K . \frac{1x10^{9}nm}{m} ⇒ 2.898x10^{6} nm \cdot K

Finally, equation 2 can be used:

\lambda_{max} = \frac{2.898x10^{6} nm \cdot K}{5800 K}

\lambda_{max} = 499.65nm

Hence, the dominant wavelength of the sun is 499.65nm

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To solve this problem we will apply Ohm's law. The law establishes that the potential difference V that we apply between the ends of a given conductor is proportional to the intensity of the current I flowing through the said conductor. Ohm completed the law by introducing the notion of electrical resistance R. Mathematically it can be described as

V = IR \rightarrow R = \frac{V}{I}

Our values are

I = 500mA = 0.5A

V = 37V

Replacing,

R = \frac{V}{I}

R = \frac{37}{0.5}

R = 74 \Omega

Therefore the smallest resistance you can measure is 74 \Omega

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3 years ago
How much time does it take for an eagle flying at a speed of 50 kilometers per hour to travel a distance of 2000 kilometers?
gtnhenbr [62]

Answer:40 hour

Explanation:

8 0
3 years ago
A leaky faucet drips once each second. at this rate, it takes 1 hour to fill a 1-liter graduated cylinder to the 200-cm3 mark. w
UNO [17]
Define
v = volume of a drop per second, cm³/s

The time taken to fill 200 cm³ is 1 hour.
Let V = 200 cm³, the filled volume.
Let t = 1 h = 3600 s, the time required to fill the volume.

Therefore,
\frac{200 \,  cm^{3}}{v \, cm^{3}/s}  = 3600 \, s \\ v =  \frac{200}{3600} =0.0556 \, cm^{3}

The average volume of a single drop is approximately 0.0556 cm³.

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8 0
3 years ago
On the sonometer shown below, a horizontal cord of length 5 m has a mass of 1.45 g. When the cord was plucked the wave produced
Korolek [52]

Answer:

(a) T = 0.015 N

(b) M = 1.53 x 10⁻³ kg = 1.53 g

Explanation:

(a) T = 0.015 N

First, we will find the speed of waves:

v =f\lambda

where,

v = speed of wave = ?

f = frequency = 120 Hz

λ = wavelength = 6 cm = 0.06 m

Therefore,

v = (120 Hz)(0.06 m)

v = 7.2 m/s

Now, we will find the linear mass density of the coil:

\mu = \frac{m}{l}

where,

μ = linear mass density = ?

m = mass = 1.45 g = 1.45 x 10⁻³ kg

l = length = 5 m

Thereforre,

\mu = \frac{1.45\ x\ 10^{-3}\ kg}{5\ m}\\\\\mu = 2.9\ x\ 10^{-4}\ kg/m

Now, for the tension we use the formula:

v = \sqrt{\frac{T}{\mu}}\\\\7.2\ m/s = \sqrt{\frac{T}{2.9\ x\ 10^{-4}\ kg/m}}\\\\(51.84\ m^2/s^2)(2.9\ x\ 10^{-4}\ kg/m) = T

<u>T = 0.015 N</u>

<u></u>

(b)

The mass to be hung is:

T = Mg\\\\M = \frac{T}{g}\\\\M = \frac{0.015\ N}{9.8\ m/s^2}\\\\

<u>M = 1.53 x 10⁻³ kg = 1.53 g</u>

4 0
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What is the middle layer of earth called
irinina [24]
The middle or centre of the Earth is the core. However the middle of the layers from the surface to the centre of the Earth is known as mantle. 
6 0
3 years ago
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