In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media. Mathematically, this is:
n₁sin(∅₁) = n₂sin(∅₂)
Where n is the refractive index. Substituting the values given into the equation:
1.0003 * sin(20°) = 1.33 * sin(∅)
∅ = 14.91
The angle of the refracted ray is 15°.
The angular frequency of the wave is determined as 75.4 rad/s.
<h3>
What is wave function?</h3>
A wave function is a mathematical equation for the motion of the wave.
y(x, t) = A sin(kx + ωt + Φ)
where;
- ω is angular speed
- k is angular wavenumber
- Φ is phase angle
<h3>What is angular frequency?</h3>
The angular frequency is the angular displacement of any wave element per unit of time or the rate of change of the waveform phase.
<h3>Angular frequency</h3>
ω = 2πf
ω = 2π(12)
ω = 75.4 rad/s
Thus, the angular frequency of the wave is determined as 75.4 rad/s.
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If the mass of the object and the volume of the object is determined;
Then, the density of the object is determined by taking the ratio of the mass and volume.
<h3>What is density of an object?</h3>
The density of an object is the ratio of the mass and volume of that object.
Mathematically;
To determine the density of an object therefore, the physical characteristics of mass and the volume of the object are measured.
The mass of the object is obtained using a scale or a balance.
The volume of the object if a solid is obtained using a displacement bottle. If it is a liquid, a measuring cylinder is used.
The density of the object is then obtained by taking the ratio of the mass and the volume of the object.
In conclusion, the density of an object is determined from the volume and mass ratio.
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Kinetic energy is the energy possessed by a body while in motion. It is calculated by 1/2mv², where m is the mass of the body and v is the velocity.
Therefore, kinetic energy is dependent on both mass of the body and the velocity. An increase in mass increases the kinetic energy, an increase in velocity also increases kinetic energy of the body. Thus, doubling the mass and doubling the velocity will both increase the kinetic energy of the body.