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Bad White [126]
3 years ago
12

Near the center of our galaxy, hydrogen gas is moving directly away from us in its orbit about a black hole. The electromagnetic

radiation we receive from this hydrogen gas has a Doppler-shifted wavelength of 1940 nm when it reaches earth. From experiments done on earth, we know the source wavelength is 1875 nm. What is the speed of the gas relative to earth?
Physics
1 answer:
klemol [59]3 years ago
6 0

To solve this problem it is necessary to apply the concept related to wavelength, specifically when the wavelength is observed from a source that is in motion to the observer.

By definition the wavelength is given defined by,

\lambda_{obs} = \lambda_s \sqrt{\frac{1+u/c}{1-u/c}}

Where

\lambda_{obs} = Observed wavelength

\lambda_s = Wavelength of the source

c = Speed of light in vacuum

u = Relative velocity of the source to the observer

According to our data we have that the wavelength emitted from the galaxy is 1875nm which is equal to the wavelength from the source, while the wavelength from the observer is \lambda_{obs}=1945nm

Therefore replacing in the previous equation we have,

1945 = 1875 \sqrt{\frac{1+\frac{u}{c} }{1-\frac{u}{c} }}

\sqrt{\frac{1+u/c}{1-u/c}} = 1.03733

\frac{1+\frac{u}{c} }{1-\frac{u}{c} }=1.03733^2

1+\frac{u}{c} =1.03733^2*(1-\frac{u}{c} )

Solving for u,

1+\frac{u}{c} =1.03733^2*(1-\frac{u}{c} )

1+\frac{u}{c} =1.03733^2-1.03733^2(\frac{u}{c} )

\frac{u}{c} +1.03733^2\frac{u}{c} =1.03733^2-1

2.88595\frac{u}{c}=1.03733^2-1

\frac{u}{c} = \frac{1.03733^2-1}{2.88595}

u = \frac{1.03733^2-1}{2.88595}*c

u = 0.02635c

Therefore the speed of the gas relative to earth is 0.02635 times the speed of light.

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A cylindrical capacitor has an inner conductor of radius 2.7 mmmm and an outer conductor of radius 3.1 mmmm. The two conductors
Mars2501 [29]

Answer:

(A) Capacitance per unit length = 4.02 \times 10^{-10}

(B) The magnitude of charge on both conductor is Q = 4.22 \times 10^{-19} C and the sign of charge on inner conductor is +Q and the sign on outer conductor is -Q

Explanation:

Given :

Radius of inner part of conductor  (R_{1}) = 2.7 \times 10^{-3} m

Radius of outer part of conductor  (R_{2}) = 3.1 \times 10^{-3} m

The length of the capacitor (l) = 3 \times 10^{-3} m

(A)

Capacitance is purely geometrical property. It depends only on length, radius of conductor.

From the formula of cylindrical capacitor,      

     C = \frac{2\pi\epsilon_{o} l }{ln\frac{R_{2} }{R_{1} } }

Where, \epsilon_{o} = 8.85 \times 10^{-12}

But we need capacitance per unit length so,

     \frac{C}{l}  = \frac{2\pi\epsilon_{o}  }{ln\frac{R_{2} }{R_{1} } }

capacitance per unit length = \frac{6.28 \times 8.85 \times 10^{-12} }{ln(1.148)} = 4.02 \times 10^{-10}

(B)

The charge on both conductors is given by,

     Q = C \Delta V

Where, C = capacitance of cylindrical capacitor and value of C = 12.06 \times 10^{-13} F, \Delta V = 350 \times 10^{-3} V

∴ Q = 4.22 \times 10^{-19} C

The magnitude of charge on both conductor is same as above but the sign of charge is different.

Charge on inner conductor is +Q and Charge on outer conductor is -Q.

8 0
3 years ago
Electric eels generate electric pulses along their skin that can stun an enemy. In a test, an electric eel generated pulse of 50
nydimaria [60]

Answer:

The power of the pulse is 40 Watts

3 0
3 years ago
A backpacker walks for 3 days in the mountains and covers 16 km. How fast was he walking in km/hr?
Fudgin [204]

Answer:

0.22 km/h

Explanation:

72 hours in 3 days

16/72 = 0.222222222

round to 0.22 km/h

For future reference, Distance/Time= Speed

5 0
3 years ago
(4.56 x 10^-13)-(1.17 x 10^-13)
avanturin [10]
3.39 x 10^-13

Please mark brainliest!
3 0
3 years ago
Can someone with an IQ score of 120 be gifted? Based on psychological thought, explain why or why not and give an example. ILL M
Pani-rosa [81]
Hello!

Yes, someone with an IQ score of 120 can be gifted. 

An IQ score of 120 means that the individual is moderately gifted. Although this IQ doesn't qualify for gifted education programs, research shows that people with IQs of about 145-180 don't perform significantly better than people with 120s IQ in terms of success.

As an example, professor Dean Simonton from the University of California found that an optimum leader should have an IQ in the 120-125 range, so having an IQ of 120 would mean that the individual is gifted for leadership.

Have a nice day!
7 0
3 years ago
Read 2 more answers
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