if two separate containers a and b have the same volume and temperature, but container a has more gaseous molecules than b, then container a will have: a) higher pressure b) lower pressure c) a greater universal gas constant d) a smaller universal gas constant

a. The width (in mm) of the central interference maximum is 8 mm

b. The width of the first-order bright fringe is 8mm

we are given the information that Coherent light with wavelength 400 nm passes through two very narrow slits that are separated by 0.200 mm, and the interference pattern is observed on a screen 4.00 m from the slits. Since we know that:

Sinθ≈θ=(m+1/2)λ/d, where d is the distance,  λ is the wavelength and  the vertical distance y(m) from the central maximum to the mth minima can be defined as

tanθ≈θ=y(m)/D

solving the above equation we get :

y(m)=(m+12)λD/dy(m), for the width of the central maximum for the distance between the m=0 and m=-1 minima:

y(0)−y(1)=(1/2)λD/d−(−1/2)λD/d

=λD/d

=(400×10−9m)(4m)/2×10−4m = 0.008m=8mm

Since y(0)−y(−1) is  is independent of m.  So,  the distance between adjacent minima is  always the same and the width of the first-order bright fringe  will be :

y(1)−y(0)=8mm

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Answer:

Acoustics is the study of sound and how it behaves in different environments. The term can refer to the characteristics of a room or other space that affect how sound behaves in it, such as its size, shape, and the materials it is made of. These characteristics can affect the way sound waves behave and how they are perceived by people.

The Doppler effect is a phenomenon that occurs when a sound wave source is moving relative to an observer. It is named after the Austrian physicist Christian Doppler, who first described it in 1842. The effect causes the observed frequency of the sound wave to be higher or lower than the actual frequency of the source, depending on whether the source is moving toward or away from the observer.

The acoustics of a space can affect the Doppler effect in several ways. For example, the size and shape of a room can determine how long it takes for sound waves to travel from the source to the observer, which can affect the perceived frequency of the sound. The materials that a room is made of can also affect the way sound waves behave, such as by reflecting or absorbing them. This can affect the perceived loudness and clarity of the sound.

Overall, the acoustics of a space can play a role in how the Doppler effect is perceived by people. It is important to consider the acoustics of a space when studying the Doppler effect in order to understand how it may be affected by the characteristics of the environment.

Explanation:

The tension on the wire that having a density of 2700 kg/m³ with a diameter of 4.6 mm and propagate at 25 m/s = 28.12 N

In this case, the density of aluminum is 2700 kg/m³ but we don't have the speed and the diameter of the aluminum.

So, let's solve it using just sample numbers.

To determine the tension on the wire, we can use the following equation:

T = v²μ

Where,

T = tension on the wire (N)

v = the speed of the wire (m/s)

μ = mass per unit length of the wire (kg/m)

Find the area of the aluminum wire first,

A = [tex]\frac{1}{4}[/tex][tex]\pi[/tex]d²

= [tex]\frac{1}{4}[/tex][tex]\pi[/tex](4.6 x 10⁻³)²

= 1.66 x 10⁻⁵ m²

And, the mass per unit length of the wire:

μ = ρA

= (2700) (1.66 x 10⁻⁵)

= 0.045 kg/m

So, the tension on the wire is:

T = v²μ

= (25)² (0.045)

= 28.12 N

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The scale factor of dilation from center point is found by conjugating the equation.

Dilation is a transform used to change the size of an object. Dilation is used to make objects larger or smaller. This transformation produces an image that is identical to the original shape.

However, there is a difference in the size of the shape. Dilation should stretch or shrink the original shape. This transformation is denoted by the term "scaling factor".

[tex]\alpha +mR+\beta \pi R^2=0\\\\dw^2.dt^2+M=0---(center)[/tex]

Enlarging an image by dilation is called enlargement.

When dilation creates a smaller image, it is called contraction.

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With the use of formula, 1,088 K can be expressed as 815 °C in degrees Celsius and 1499 °F in degrees Fahrenheit

Temperature can be defined as a measure of hotness and coldness. The instrument for measuring temperature is thermometer.

Given that one of the most deadly features of an erupting volcano is an avalanche of hot ash and gas called a pyroclastic flow. A pyroclastic flow can move at a speed of over 160 km/h and can have a temperature of 1,088 K.

The temperature in degrees Celsius we be known by using the equation

T = 273 + C

Where T is in Kelvin and C is degrees Celsius

1088 = 273 + C

Make C the subject of formula

C = 1088 - 273

C = 815 °C

The temperature in degrees Fahrenheit we be known by using the formula

F = ( C × 9/5) + 32

F = ( 815 × 9/5) + 32

F = 1467 + 32

F = 1499 °F

Therefore, temperature in degrees Celsius is 815 °C and temperature in degrees Fahrenheit is 1499 °F

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Rock expands and contracts as a result of temperature variations (with cold). The rock's structure deteriorates as this keeps happening over and over. It disintegrates with time.

Heat is the energy that moves from one thing to another when temperatures are different. Heat passes from the hotter to the colder body when two bodies with differing temperatures are brought together. Usually, but not always, this energy transfer results in a rise in the heat of the colder body and a fall in the temperature of the hotter body.

By switching from one physical situation (or phase) to the other, such as melting from a solid to a liquid, sublimation from a solid to a vapor, boiling from a liquid to a vapor, or changing through one stable state to another, a substance can absorb heat without increasing in temperature.

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The oxygen molecule will take 8.33 X 10⁷ s to diffuse in blood to travel a distance of 1 m and it will take 1.33 X 10⁷ s for oxygen molecule to diffuse across a capillary that has a diameter of 40 μm.

(a) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s

The distance moves by an oxygen molecules in blood = x = 1 m = 100 cm

Time taken by the blood to diffuse = t

The expression for the diffusion in three dimension is:

= t = x² / 6D

= t = 100 X 100 / 6 X 2 X 10⁻⁵

= t = 8.33 X 10⁷ s

(b) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s

The distance moves by an oxygen molecules in blood = x = 40 μm  

Time taken by the blood to diffuse = t

The expression for the diffusion in three dimension is:

= t = x² / 6D

= t = 40 X 40 / 6 X 2 X 10⁻⁵

= t = 1600 / 12 X 10⁻⁵

= t = 133.33 X 10⁵

= t = 1.33 X 10⁷ s

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It is the potential energy stored in spring when it is stretched or deformed. It is equal to force multiplied by displacement. This energy is stored in the spring by virtue of its position. It is the work done to stretch the spring.

When spring is stretched, it undergoes displacement. It comes to its equilibrium position when force is removed. So, it exerts an equal and opposite force When it is stretched. Work is done by this force that is stored in the form of potential energy.

Since potential energy = force × displacement

and, force = spring constant × displacement

So, potential energy = spring constant × [tex](displacement)^{2}[/tex]

P.E. = k ×[tex]x^{2}[/tex]

Where,

k = spring constant

x = displacement caused due to stretching

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The key difference between infrared radiation and ultraviolet radiation is that the wavelength of infrared radiation is longer than that of visible light, whereas wavelength of ultraviolet radiation is shorter than the wavelength of visible light.

The electromagnetic spectrum is the range of frequencies of electromagnetic radiation and their respective wavelengths and photon energies.

Ultraviolet radiation is more energetic than infrared. They have shorter wavelength and higher frequency.

Infrared waves have a wavelength 1000 times longer than ultraviolet waves and lower energy and frequency.

The majority of the infrared radiation on the earth comes from the sun. It is widely used in the night vision goggles.

Ultraviolet rays cause skin tanning and burns. Hot materials that are in space also emit UV radiations.

The question is incomplete. The complete question is, what is the difference between infrared radiation and ultraviolet radiation?

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The frequency of the sound wave is found to be 200Hz.

The wavelength of the sound wave is 1.7 M and it is travelling with a speed of 340m/s.

The relationship between the frequency of a wave, speed of the wave and the wavelength of the wave is given by,

v = fy

Where,

V is the speed of the wave,

f is the frequency of the wave,

y is the wavelength of the wave.

Now, assigning all the values to the respective terms,

We get,

340 = f(1.7)

f = 200 Hz.

So, the frequency of the sound wave is 200Hz.

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Total surface area = 3/2 * area of an old radiator.

Solution:

K = [tex]\frac{Qd}{A*changeinT}[/tex]

change in T =  ΔT  

Therefore New Area  ( A ) = 3/2 * area of the old radiator.

If you need faster cooling rates, replacing the rubber hoses with silicone hoses is one option. These can withstand higher heat, are less likely to break over time, and last longer. Apart from that, you can also upgrade the radiator fan and shroud to help with cooling. The radiator is an important component of the engine's cooling system.

Its main role is to spread the antifreeze/water mixture around the fins, letting off some of the engine's heat while drawing in the cool air before it passes through the rest of the engine. Replacing your home's radiator has a variety of benefits, and many properties will benefit from this.

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Horizontal distance the base of the cliff does it strike the level ground below traveled is  138.564 m (r1/r2 = 1/3.)

Here Vertical component of Velocity = 800*sin(30) = 400 m/sec

s = ut + 0.5*g*t62

80 = 400t + 4.9t^2

t = 0.2 sec

Horizontal Component of velocity = 800*cos(30) = 692.82 m/sec

Therefore, Horizontal distance traveled = 692.82*0.2 = 138.564 m

When we give something a beginning velocity, we call that thing a projectile, and gravity has an impact on that thing. Horizontal range is the length of the horizontal axis for a projectile. It would also move before returning to the original vertical position. The horizontal range then depends on the launch angle (theta), initial velocity (V 0), and gravitational acceleration. When we throw or project an object, it becomes a projectile and is in motion. When a projectile moves, only one acceleration is present, and it is directed vertically. The acceleration brought on by gravity, in other words (g). Both the X-Axis and the Y-Axis can be used with the motion equations separately.

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If a jumbo jet has a mass of 100,000 kg  and thrust for each of its four engines is 50,000 n, so the acceleration is 2 m/s².

From the question, we are told that

A jumbo jet has a mass of mj = 100,000 kg

The thrust is given F = 50,000 N

Due to  four engines  4 x F

Ft  =  4  x  50,000 n = 200000N

Acceleration = Ft/m

Substituting values = 2N/kg

N = kg. m/s²

So, a = 2 kg. m/s²/kg

Therefore, jet's acceleration when taking off is 2 m/s².

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The magnitude of the acceleration of the spherical shell with mass 2.25kg rolls down a slope with 38.0 degrees angle is 36.2m/s².

Please refer to the picture attached bellow for better understanding.

From the case we know that:

m = 2.25kg

θ = 38°

I spherical shell = 2/3MR²

We know that based on the Second Law of Newton, the spherical shell will be move along with the slope axis. Hence:

∑F = m.a

Wy - f = m.a

m.g.sinθ - f = m.a ... (i)

We also know that the friction force causes the spherical shell to rotate while falling down the slope. We use the torque concept:

τ = Iα

f.R = Iα

fR = 2/3MR²(a/R)

f = 2/3ma ... (ii)

We will subtitute the equation (ii) into equation (i) to find the value of the magnitude of the acceleration (a):

m.g.sinθ - f = m.a

m.g.sinθ - 2/3m.a = m.a

m.g.sinθ = 5/3m.a

a = 3/5 g.sinθ

a = 36.2 m/s²

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Complete Question:

A hollow spherical shell with mass 2.25kg rolls without slipping down a slope that makes an angle of 38.0 degrees with the horizontal.

Find the magnitude of the acceleration of the center of mass of the spherical shell. Take the free fall acceleration to be g = 9.80m/s²

The bullet's undetermined mass is m1 = 1.458 x 103. Mass, in physics, quantitative measure of inertia, a fundamental property of all matter.

Newton's equations of motion state that when a body of mass m is subject to a net external force, the body's momentum changes and is represented by:

f = p/dt

Where:

P is the body's linear momentum.

m2 = m3 = 4.5 x 10-3 kg

v2 = v3 =  575 m/s

The equal masses must move at angles of to each other in order for momentum to be zero in the y-direction.

θ1=180°, θ2=60°, θ3=-60°

m₁ ₓ v₁ ₓ cos180° + m₂ ₓ v₂ ₓ cos60° + m₃ ₓ v₃ ₓ cos(-60°) = 0

m₁ ₓ 575m/s ₓ cos180° + 4.5 x 10-3 kg ₓ 324 m/s ₓ cos60° + 4.5 x 10-3 kg ₓ 324 m/s ₓ cos(-60°) = 0

-m1 ₓ 575m/s + 1.458 ₓ 0.5 + 1.458 ₓ 0.5 = 0

-m1 ₓ 575m/s + 0.729 + 0.729 = 0

-m1 ₓ 575m/s + 1.458 = 0

m1 = 1.458 ₓ 10⁻³

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The ratio of the orbital radii of the planets is  4:1.

The ratio of their periods is 8:1.

Planetary bodies circle the Sun according to Kepler's three laws. They explain how planets orbit the Sun in elliptical fashion, how they traverse the same amount of space in a given length of time regardless of where they are in their orbit, and how their orbital periods are related to the size of their orbits (its semi-major axis).

An object's orbital radius is the typical distance it travels around a bigger object. An illustration would be that the Sun and Earth are typically 150 million kilometres apart. The orbital radius is also this.

Let the mass of the planet be m and the mass of the star be M.

r = radius of ordit

v = speed

We know that

gravitational attraction = centripital force

GMm/r^2 = mv^2/r

[tex]v = \sqrt{GM/r}[/tex]

Hence

v  ∝ 1/[tex]\sqrt{r}[/tex]

a) Here v₁/v₂ = v/2v = [tex]\sqrt{\frac{r2}{r1\\\ }[/tex]  

squuaring both sides

1/4 = r2/r1

Thus r1/r2 = 4/1

Hence ratio of orbital radii is 4:1.

b) As per keplers law of planetary motion,

T^2 ∝ r^3

[tex]\frac{T_{v} ^{2} }{T_{2v} ^{2} } = \frac{r_{v} ^{3} }{r_{2v} ^{3} }[/tex]

[tex]\frac{r_{v} ^{3} }{r_{2v} ^{3} } = 4^{3} = 64[/tex]

[tex]\frac{T_{v} }{T_{2v}} = \sqrt{64} = 8[/tex]

Thus ratio of time periods is 8:1.

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The earth is a sphere and the way, we can prove it , is attached in answer.

This are the two practical prove of spherical shape of earth.

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Compared to a giant Iceberg, a hot cup of coffee has higher temperature but less internal energy.

As we know that a cup of coffee is at a very higher temperature as compared to the idea because the Iceberg is a negative temperature.

But the Iceberg is supposed to have a higher internal energy in comparison through the coffee cup because the internal energy of a substance depends on its mass.

The internal energy of a substance is given by,

U = nC∆T

So, as we can see that the internal energy of the iceberg depend on the mass of the Iceberg which is very very larger than the coffee cup.

So we can upload that the coffee cup has higher temperature but less internal energy than the Iceberg.

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Either 15- or 20-amp receptacles can be powered by a 20-amp circuit. Receptacles connected to a branch circuit with a 30 amp rating.

An electric circuit is a path that current can travel. An electric circuit is made up of a battery or generator, an apparatus that provides power to the charged particles that make up the current, an apparatus that uses the current, such as a lamp, an electric motor, or a computer, and the connecting wires or transmission lines. Two fundamental laws that quantitatively describe the operation of electric circuits are Kirchhoff's laws and Ohm's law. Circuits in parallel and series. Electric circuits can be divided into a number of categories. Direct current only flows in one direction in a circuit. An alternating-current circuit transmits current that pulses back and forth repeatedly every second, much like the majority of domestic circuits.

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the de broglie wavelength of these electrons is 1.227   A˚

 V=32 volts

de-Broglie wavelength of electron     λ= 2meV​ h

​ ∴    λ= 2(9.1×10 −31)(1.6×10 −19 )(100)​ 6.6×10 −34

​ Or     λ= 5.4×10 −10

6.6×10 −34

  m⟹   λ=1.227×10 −10

m=1.227   A˚

De Broglie wavelength is a term used to describe the wavelength () that is connected to an item in relation to its momentum and mass. The de Broglie wavelength of a particle is often inversely related to its force. A particle's de Broglie wavelength reveals the length scale at which wave-like characteristics are significant for that particle. The letters or dB are frequently used to denote the De Broglie wavelength. The de Broglie wavelength for a particle with momentum p is given by the formula: dB = hp, where h is the Planck constant.

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The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

Given:

Mass of the moon (m) = 1 × 10²² kg

Gravitational field strength (g) = 0.001 N/kg

The gravitational force is given by:

Gravitational force (F) = mass of the moon (m) ×  gravitational field strength (g)

F = 1 × 10²²  ×  0.001

F = 1 × 10²² ×  0.001

F = 1 × 10¹⁹ N

Hence, The gravitational force exerted on the moon while it is in orbit around the planet is 1 × 10¹⁹ N.

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Bioelectric impedance analysis (BIA), another technique, involves taking measurements while an electric current is passing through the body's water and fat tissues [14, 15, 16, 17].

Bioelectric impedance analysis, or BIA, is a common method of operation for these kinds of scales. By passing a tiny electrical current through the body, BIA calculates body composition [5]. The scale then measures the body's resistance to the current and determines what proportion of the body is made up of fat using that measurement. A weak electrical current is passed through the body using the bioelectrical impedance (BI) technique. Because it contains fewer water and electrolytes than lean muscle, body fat slows the flow of electricity. Considering that hydration is normal, the measurement of body fat is precise.

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A. The graph provided is a Displacement-Time Graph. The x-axis provides the displacement made by the object and the y-axis gives the time taken by the object to travel.

The amplitude of an object is defined as the maximum displacement made by the object. From the graph provided, the maximum displacement made by the object is 2cm.

Hence, as per the definition of Amplitude, the Amplitude of the object is 2cm.

The Amplitude of the object depends on the displacement made by the object. The maximum displacement is made when the object moves to an extreme position in an oscillation.

B. The object in a Simple Harmonic Motion moves from mean position to extreme positions. As the object moves from mean position to extreme position and reaches back to mean position, one oscillation or one cycle is said to be completed.

The graph represents the positive displacement when it moves to extreme position and the negative displacement as it returns from the extreme position.

The graph provided shows that for a complete one cycle or oscillation, the time taken is 4seconds.

Hence, as per the definition of Time period, the time period is 4 seconds. Therefore, the time period as ω = 2[tex]\pi[/tex]/T.

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By the time helium could survive, the temperature had become too low for heavier elements to form.

A Big Bang event is a physical theory that explains how the universe expands from a dense and hot initial state. [1] Various cosmological models of the Big Bang describe the evolution of the observable universe from the earliest known epochs to subsequent large-scale forms.These The model comprehensively explains a wide range of observed phenomena, including light element abundance, cosmic microwave background (CMB), and large-scale structure. The general uniformity of the universe, known as the flatness problem, is explained by cosmic inflation. This is a sudden and very rapid expansion of space at the initial moment. But physics currently lacks a generally accepted theory of quantum gravity that can successfully model the early states of the Big Bang.

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The maximum number of the bright spots that you would see when i shine light with a wavelength of 500 nm = 4001

From the question we are told that

The  slit distance is : 1mm : [tex]10^{-3}[/tex] m

The  wavelength is  : 500 nm : [tex]500 * 10^{-9}[/tex] m

Generally the condition for interference is  

n * ∧ = d * sinФ

Where n is the number of fringe(bright spots) for the number of bright spots to be maximum  (Ф = 90)

=> sin 90 = 1    

So n = d/∧

substituting values

n = [tex]10^{-3}[/tex] / [tex]500 * 10^{-9}[/tex]

= 2000

given there are two sides when it comes to the double slit apparatus which implies that the fringe would appear on two sides so the maximum number of bright spots is mathematically evaluated as

n(max) = 2*n + 1

= 4001

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Answer: Un objeto verde aparece negro con cualquier otra luz que no sea verde

Explanation:

Angular momentum is unchanged, but kinetic energy increases.

i) But there is no violation of conservation of energy

ii) There is a positive, net change in mechanical energy, because

The student does the work on the merry-go-round.

iii) origin of the energy is rotational motion.

According to the rule of conservation of energy, energy cannot be created or destroyed. It can, however, be converted from one form to another. When all forms of energy are considered, the overall energy of an isolated system remains constant. The law of energy conservation applies to all kinds of energy. In summary, the law of energy conservation asserts that

The total energy of a closed system, that is, a system that is separated from its surroundings, is preserved.

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Answer:

a) twice the mass and was moving at the same speed?

c) one-half the mass and was moving with twice the speed?

Explanation:

New KE = 248 Joules. Thus, in case of the same speed and twice the mass, the new kinetic energy will be 248 Joules.

Answer: i think A and C

Explanation:

The wavelength of the laser is 19.4 nm and the average power delivered to the eye during a pulse is  50000 W.

(a) The energy of a laser pulse in terms of number of photons is =

= E = N X (hc / λ)

Where,

λ = wavelength

N = Number of photons in each laser pulse

h = Planck constant

c = Speed of light

We need to find the wavelength, then re-arrange the equation

= λ = N X (hc / E)

Converting the unit the energy from J to eV, we have,

= E = 1 X 10⁻³ [ 1 eV / 1.6 X 10⁻¹⁹ ]

= E = 6.25 X 10¹⁵ eV

Replacing,

= λ = N X (hc / E)

= λ = [ ( 9.7 X 10¹⁴ X 4.136 X 10⁻¹⁵ X 3 X 10⁸ ) /  6.25 X 10¹⁵ ]

= λ = 19.4 nm

(b) Energy = E = 1 mJ

Time = t = 20 ns

Thus, average power = p =

= p = E/t

= p = 1 X 10⁻³ / 20 X 10⁻⁹

= p = 0.05 X 10⁶

= p = 50000 W

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The wavelength of 6 x 10⁻⁷m is expected when frequency is 5 x 10¹⁴.

If the equations are different, the impact is huge. And the accumulation of matter consistent with the existence of life is wrong. That's one reason why it isn't. The Anthropic Principle states that in a universe incompatible with life, no life is arguing about it. When there are many universes, we occupy only the universe that nourishes us.

If our universe had 4 spatial dimensions (on our life scale), the equation would be 1/R. But every time we pass the jackhammer, we are reminded that our scale only has three spatial dimensions. The inverse square equation is not about the forces that follow it. The equations are about the nature of space (not space-time, just space, by the way).

E=hv

E=hc/y

v=c/y

y=c/v

y=3 x 10⁸/5 x 10¹⁴=6 x 10⁻⁷m

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