The spread of uniform construction technology can be traced to which of the following developments?

Answer:

15

Explanation:

The period of a pendulum is proportional to the square root of the ratio of its length to the acceleration of gravity.

The period of a pendulum depends on the acceleration of gravity, g, and the length of the pendulum, ℓ. In order to determine the combination of g and ℓ that the period is proportional to, we can use the method of dimensional analysis. The only possible combination is the square root of the ratio of ℓ to g, which gives us T ∝ √(ℓ/g).

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Final answer:

The rate of the reaction is calculated by substituting the given values into the rate law, resulting in a rate of 0.12 M/s, with the rate constant k having units of mol² L²/s for this reaction.

Explanation:

To calculate the rate of a reaction with the given rate law, we insert the provided values into the rate equation: rate = k[A]m[B]n. With the values k = 1 × 10-2, [A] = 2 M, [B] = 3 M, m = 2, and n = 1, the rate is calculated as follows:

rate = (1 × 10-2 M-1s-1)(2 M)2(3 M)1

rate = 1 × 10-2 M-1s-1 × 4 M2 × 3 M

rate = 0.12 M/s

The rate constant k has the units necessary to provide the rate in terms of mol/L/s, which for this second-order reaction in [A] and first-order in [B] (total order: 3), is mol-2 L2/s.

The threshold frequency fo of Cesium is about 9.39 × 10¹⁴ Hz

[tex]\texttt{ }[/tex]

The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is:

[tex]\large {\boxed {E = h \times f}}[/tex]

E = Energi of A Photon ( Joule )

h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )

f = Frequency of Eletromagnetic Wave ( Hz )

[tex]\texttt{ }[/tex]

The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.

[tex]\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}[/tex]

[tex]\large {\boxed {E = qV + \Phi}}[/tex]

E = Energi of A Photon ( Joule )

m = Mass of an Electron ( kg )

v = Electron Release Speed ( m/s )

Ф = Work Function of Metal ( Joule )

q = Charge of an Electron ( Coulomb )

V = Stopping Potential ( Volt )

Let us now tackle the problem!

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Complete Question:

What is the threshold frequency fo of Cesium?

Note that 1 eV (electron volt) = 1.60×10⁻¹⁹ J ?

[tex]\begin{tabular} {|c|c|c|}\underline{Light\ Energy\ (eV)}& \underline{Electron\ Emitted} & \underline{Electron KE\ (eV)}\\3.87 & no & -\\3.88 & no & -\\ \boxed{3.89} & yes & 0\\3.90 & yes & 0.01\\3.91 & yes & 0.02\end{tabular}[/tex]

Given:

the work function = Φ = 3.89 eV

Asked:

threshold frequency = fo = ?

Solution:

Firstly, we will convert the work function unit as follows:

Φ = 3.89 eV = 3.89 × 1.60 × 10⁻¹⁹ Joule = 6.224 × 10⁻¹⁹ Joule

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Next, we will calculate the threshold frequensy as follows:

[tex]\Phi = h \times fo[/tex]

[tex]6.224 \times 10^{-19} = 6.63 \times 10^{-34} \times fo[/tex]

[tex]fo = ( 6.224 \times 10^{-19} ) \div ( 6.63 \times 10^{-34} )[/tex]

[tex]{\boxed{fo \approx 9.39 \times 10^{14} ~ Hz}[/tex]

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Grade: High School

Subject: Physics

Chapter: Quantum Physics

If the building absorbed so much heat that it turned into a liquid, then it would have undergone a phase change known as Melting.

The Earth has the strongest magnetic field among the terrestrial worlds due to its partially molten metallic core and rapid rotation. These factors create convection currents and electric currents that generate the magnetic field.

The Earth has the strongest magnetic field among the terrestrial worlds because it is the only one that has both a partially molten metallic core and reasonably rapid rotation. These two factors are essential for generating a magnetic field through a process called the dynamo effect.

The Earth's molten, iron-rich outer core and its rotation create convection currents that generate electric currents, which in turn produce a magnetic field.

By having a partially molten metallic core, the Earth is the only terrestrial world capable of generating a magnetic field. Other terrestrial worlds, such as the Moon or Mars, have solid cores and lack the necessary convection currents to generate a magnetic field.

Additionally, the Earth's reasonably rapid rotation helps sustain its magnetic field. The rotation of the Earth causes the convection currents in the outer core to twist and rotate, which further amplifies the magnetic field strength.

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Final answer:

For the same seasonal variation in insolation, land temperature will vary more than the ocean due to water's higher specific heat capacity, which is about four times greater than that of land. Ocean temperatures are further regulated by vertical circulation currents and evaporation, which mix surface water with cooler, deeper water.

:

The higher heat capacity of water compared to rock or sediment means that for the same seasonal variation in insolation, the land temperature will vary more than the ocean. Water has a roughly four times greater specific heat capacity than land, requiring four times more energy to raise its temperature. Additionally, the process of mixing and evaporation contributes to a larger storage possibility for heat in water. As a result, observed warming over the past century is also smaller over the ocean than over land; about 90% of the observed increase in Earth's heat content has been absorbe by the oceans.

Vertical circulation in the ocean, driven by density differences due to salinity and temperature, mixes surface water with cooler water from deeper layers, further moderating temperature changes. Contrarily, this effect is absent on land, leading to greater temperature fluctuations.

Note: The given explanation in point b. appears to be incorrect as it suggests that sand/soil will take longer to heat and cool, implying a higher specific heat than water, which contradicts the scientific fact that water has a greater specific heat than land. The correct assertion is provided in point d., highlighting that water takes longer to heat and cool, indicating its higher specific heat capacity.

The range of wavelengths for FM radio waves is approximately 2.78 meters to 3.41 meters.

Wavelength is a physical property of a wave that refers to the distance between two consecutive points on a wave that are in phase, i.e., they have the same position in their cycle of motion. It is the distance over which the wave's shape repeats itself.

In other words, the wavelength is the distance between two successive peaks or troughs of a wave. It is usually denoted by the Greek letter lambda (λ) and is measured in units of length, such as meters or nanometers.

The wavelength of a wave is determined by its frequency and the speed at which it travels through a medium. In general, waves with higher frequencies have shorter wavelengths, while waves with lower frequencies have longer wavelengths.

Wavelength is an important property of many types of waves, including light waves, sound waves, and radio waves. Understanding the properties of wavelength is crucial in fields such as physics, engineering, and telecommunications, as it affects how waves interact with materials, how they can be detected and measured, and how they can be transmitted over long distances.

Here in the Question,

The ranges of wavelengths for FM (frequency modulation) radio waves can be calculated using the formula:

wavelength (in meters) = speed of light (in meters per second) / frequency (in hertz)

The frequency range for FM radio is 88 MHz to 108 MHz. To calculate the corresponding wavelength range, we can use the speed of light, which is approximately 299,792,458 meters per second:

For the lower end of the FM radio frequency range (88 MHz), the wavelength is:

wavelength = 299,792,458 m/s / 88,000,000 Hz ≈ 3.41 meters

For the upper end of the FM radio frequency range (108 MHz), the wavelength is:

wavelength = 299,792,458 m/s / 108,000,000 Hz ≈ 2.78 meters

Therefore, the range of wavelengths for FM radio waves is approximately 2.78 meters to 3.41 meters.

To learn more about Waves and their characteristics click:

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Compressional forces -GradPoint

To solve this problem, we can assume that the motion is linear so that we can use the equations:

Xf = Xi + v0 t + 0.5 a t^2                  ---> 1

vf = v0 + a t                                         ---> 2

where Xi = initial distance = 0, v0 = initial velocity, Xf = final distance = 26.5 m, a = acceleration = - 1.80 m/s^2, t = time = 3.81 s, vf = final velocity

Substituting the given values into equation 1 to find for v0:

26.5 = v0 (3.81) + 0.5 (-1.80 m/s^2) (3.81)^2

3.81 v0 = 39.56449

v0 = 10.38 m/s

Using equation 2 to find for vf:

vf = 10.38 + (-1.80) (3.81)

vf = 3.53 m/s

The mantle of the Earth is approximately 2900 kilometers thick. It is the largest part of the solid Earth, extending from the base of the crust to the top of the core. It is mainly solid, but can deform and flow under extreme conditions.

The Earth's mantle is the largest part of the solid Earth, stretching from the base of the crust downward to a depth of 2900 kilometers. This part of the Earth is largely solid, but due to the extreme temperatures and pressures found in the mantle, the rock can deform and flow slowly. The density in the mantle increases from about 3.5 g/cm³ at the top to more than 5 g/cm³ at the bottom due to the compression produced by the weight of the overlying material.

Samples of upper mantle material are occasionally ejected from volcanoes, allowing scientists to conduct a detailed analysis of its chemical composition. After the mantle, at a depth of 2900 kilometers, we encounter the Earth's core, which is dense and metallic. The core has a larger diameter of 7000 kilometers and is made up of a liquid outer layer and a solid inner layer.

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answer:if there are no external forces acting on the object

Explanation:

under what conditions would a scale record a weight for an object which is equal to the magnitude of the gravitational force on the object?

If gravity and the normal reaction force are the only forces acting on the body, and the body is at rest or moving at constant velocity, the normal force and the weight are equal and opposite. Also if there are no influence of external forces

and air resistance is negligible.

from newtons law of motion which states that the rate of change in momentum is directly proportional to the force applied

f=km(v-u)/t

f=kma

where k is the constant and  equal to 1

f=ma

Independent.

The independent variable is manipulated and the effects are noted.

The solution would be like this for this specific problem:

Given:  

diffraction grating slits = 900 slits per centimeter

interference pattern that is observed on a screen from the grating = 2.38m

maxima for two different wavelengths = 3.40mm

slit separation .. d = 1/900cm = 1.11^-3cm = 1.111^-5 m 

Whenas n = 1, maxima (grating equation) sinθ = λ/d 
Grant distance of each maxima from centre = y .. 
As sinθ ≈ y/D  y/D = λ/d λ = yd / D 

∆λ = (λ2 - λ1) = y2.d/D - y1.d/D 
∆λ = (d/D) [y2 -y1] 

∆λ = 1.111^-5m x [3.40^-3m] / 2.38m .. .. ►∆λ = 1.587^-8 m