A sinusoidal wave has the following wave function: y(x,t) = (2.5 m) sin[(3.0 m-1) x – (24 s-1) t + π/2] What is the frequency of
1 answer:
Answer:
3.82 Hertz
Explanation:
This is the equation of a wave which varies sinusoidally.
The standard equation of a wave is given by
where, A be the amplitude of the wave, k be the wave number, x be the displacement of wave, ω be the angular frequency and t be the time taken, and Ф be the phase angle.
now compare the given equation by the standard equation, we get
k = 3
ω = 24
Ф = π / 2
So, the angular frequency = 24
The relation between the angular frequency and the frequency is given by
ω = 2 x π x f
24 = 2 x 3.14 x f
f = 3.82 Hertz
You might be interested in
Answer:
True
Explanation:
The normal line is defined as the line which is perpendicular to the reflecting surface at the point where the incident ray meet with the reflecting surface.
The angle of incident is defined as the angle which is subtended by the incident ray with respect to the normal ray by consider the normal ray as the base line and angle is measured from the point where incident ray is incident on the reflecting surface of the mirror.
Similarly reflecting ray can be defined as the ray which is reflected after the incident of a ray and the angle subtended by the reflecting ray is measure with respect to normal ray by considering normal ray as a base line.
Therefore, the normal ray is the perpendicular line to the reflecting surface at the point of incidence.
.
The peak emission wavelength of an object depends on its absolute temperature.
,
where
is the wavelength in meters where the emission is the strongest.
is the temperature of the object in degrees Kelvins.
For the gas falling into the black hole,
.
Apply the formula:
.
The question mentioned that is in the X-ray region of the electromagnetic spectrum. According to Encyclopedia Britannica, the wavelength of X-rays range from
to
, which indeed includes
.