In the spectrum of a galaxy that is travelling away from Earth a hydrogen line is observed to be shifted from 394 nm to 450 nm.
1 answer:
The velocity of recession of the galaxy will be 37.3×10⁶ m/sec. The concept of Doppler effect is employed in the given problem.
<h3>What is the Doppler effect?</h3>A sudden change in the frequency due to the distance between the objects and source is explained by the Doppler effect.
As the source and observer travel toward each other, the frequency of sound, light, or other waves increases or decreases.
A passing siren's rapid change in pitch, as well as astronomers' redshift, are both caused by this phenomenon.
Applications of the Doppler effect;
The rest wavelength is,
The distant wavelength is,
The velocity of recession is,V
The recession velocity is found as;
Hence, the velocity of recession of the galaxy will be 37.3×10⁶ m/sec.
To learn more about the Doppler effect, refer to the link;
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Answer: a) 1 b) 61 W c) 61 W
Explanation:
a) The Power Factor (also known as cos φ), is defined by the difference in phase between current and voltage, in a RLC series circuit, and is expressed as follows:
cos φ = R / Z = R /
In resonance, XL =XC, so the circuit behaves like it were purely resistive, so Z=R.
Replacing in the expression for power factor, we have:
cos φ = R/Z = R/R = 1
This means that in resonance, current and voltage are in phase each other.
b) The average power delivered by the source, in resonance, is simply the power dissipated at the resistance R, as follows:
Pavg = V² rms / R = V₀² / √2 / R = 61 W
c) If the circuit remains in resonance, the average power , which does not depends on frequency provided this condition remains, keeps the same, i.e. , 61 W.