A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2. What is the gravitational force of Earth on the satellite in scientific notation with two decimals.


A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2 . What is the gravitational force of Earth on the satellite in scientific notation with two decimals.


–1.6 × 103 N


–1.63 × 103 N


–2.4 × 103 N


–5.27 × 104 N

A tension of 3.5 to 4.5 is advised when sewing tough fabric, such denim or leather. This allows you to effortlessly maintain neatness across the fabric when sewing through it. Before starting to sew any thick material, check the attachments on your sewing machine and adjust the tension.

Depending on the thickness of the denim, I use a straight-stitch length between 3.0 mm and 4.0 mm. I also increase the tension on my machine to 4.6 (up from 4.0 for lightweight woven fabrics). If my denim has spandex in it, I use a stretch stitch, such as a narrow zigzag.

Linen, cotton and denim: These fabrics hold wrinkles well, so they require the highest heat, from 150 to 200 degrees. If needed, you may also use steam or spray water from a bottle or your iron.

The longer the stitch length, the easier and faster it will be to pull the fabric along the gathering threads. However, the shorter the stitch length, the easier it will be to achieve even gathers. We find a 4.5 mm setting to be a good compromise, but it's always a good idea to test and see what you prefer.

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The maximum height an object will reach if it is thrown vertically upwards at 24.0 m/s will be equal to 29.35 meters.

Kinetic energy is the term used in physics to describe the force that a moving item has.

It is described as the amount of effort necessary to accelerate anybody with a particular mass from rest to a given velocity. Except for variations in speed, the body retains the kinetic energy it gains during acceleration.

As per the given information in the question,

The formula of kinetic energy is,

K.E = 1/2 mv²   (i)

The formula of gravitational potential energy is,

u = mg     (ii)

Equate equations (i) and (ii)

1/2 mv² = mgh

h = 1/2 v²/g

h = 1/2 (24)²/9.81

= 576/19.62

h = 29.35 meters.

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I agree with Tosh because inertia depends on mass. So Mac is wrong.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that path unless acted upon by an external force.

Newton's first law of motion is also called the law of inertia because it depends on the mass of the object.

Inertia is the reluctance of an object at rest to start moving or the relictance of an object in motion to stop moving. The greater the mass of an object, the greater the inertia of the object.

Thus, Mac is wrong while Tosh is right because inertia does not depend on the speed of an object rather, it depends on the mass of the object.

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At the lowest point of the curve, the motorcyclist's velocity would be tangential to the curve.

Motorcyclists' velocity would be parallel to the surface of the road. The acceleration of the motorcyclist would be directed opposite the direction of the velocity, meaning it would be directed uphill.

At the lowest point of the curve, the direction of the net force on the driver, Fn, would be directed towards the center of the curve. This is because the velocity of the driver is tangential to the curve, and the centripetal force is directed toward the center of the curve to provide the necessary acceleration to keep the driver on the curve.

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According to the information available in the question, the force constant is 6.83N/m.

Using the relation;

T = 2π√m/k

T = period = 0.340 s

m = mass in kilograms = 0.0200 kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π^2m/T^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 4 × (3.142)^2 ×  0.0200/(0.340 )^2

k = 6.83 N/m

In physics, force is that power that can change the motion of an item. It also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.

Force is a push or a pull and it affects our daily lives because, without force, people might not be capable of opening and near stuff or lifting up their arms or legs.

Variety of Forces :

* Frictional Forces

* Tension force.

* Spring force.

* Gravitational force.

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The kinetic energy is 939.87 J.

Kinetic energy is the power that an object has as a result of motion. If we want to accelerate an object, we have to exert force. Applying force requires effort on our part. The object will be moving at a new, constant speed once the work is done because energy has been transferred to it.

A particle, an object, or a collection of particles can move because of kinetic energy, which is the force that drives motion. Kinetic energy is used by objects in motion like a person walking, a baseball being thrown, food falling from a table, and charged particles in an electric field.

Kinetic energy = 1/2mv²

Kinetic energy =  1/2×0.06×177²

Kinetic energy = 939.87 J.

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The pattern gets bigger as the light wave length gets longer. other maxima are further from the central one and are wider.

A wavelength is the distance between two identical locations (adjacent crests) in successive cycles in a waveform signals that is transmitted by a wire or in space. Typically, this length is expressed in feet (m), millimeters (cm), or millimeters (mm) in wireless systems (mm).

The distance that separates two wave crests is known as the wavelength, and it also applies to troughs. The number of vibrations that pass across a certain area in a second, or 60hz (Hz), is the unit of measurement for frequency (Hertz).

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Answer:

Here is answer

Explanation:

a) The weight of the solid 'S' is a contact force because it acts on the solid 'S' through physical contact with the ground.

b) The characteristics of the weight of solid 'S' are:

It acts in the downward direction.

It is a gravitational force that is exerted by the Earth on the solid 'S'.

It is equal to the mass of the solid 'S' multiplied by the acceleration due to gravity (W = m*g).

c) The weight of solid 'S' can be represented by a vector as shown below:

[asy]

unitsize(1cm);

draw((0,0)--(0,15),Arrow(6));

label("$W$", (0,7.5), W);

[/asy]

a) The other forces acting on solid 'S' are the normal force exerted by the inclined plane on the solid 'S' and the frictional force exerted by the inclined plane on the solid 'S'. The normal force is a contact force, while the frictional force is also a contact force.

b) These forces can be represented by vectors as shown below:

[asy]

unitsize(1cm);

draw((0,0)--(0,15),Arrow(6));

label("$W$", (0,7.5), W);

draw((0,0)--(15sqrt(2)/2,15/2),Arrow(6));

label("$N$", (7.5sqrt(2),7.5), NE);

draw((0,0)--(-15sqrt(2)/2,-15/2),Arrow(6));

label("$F_f$", (-7.5sqrt(2),-7.5), SW);

[/asy]

c) The characteristics of these forces are:

The normal force acts perpendicular to the surface of the inclined plane.

The frictional force acts in the opposite direction to the direction of motion or intended motion of the solid 'S'.

The magnitude of the normal force is equal to the weight of the solid 'S', but in the opposite direction.

The magnitude of the frictional force depends on the coefficient of friction between the solid 'S' and the inclined plane, as well as the normal force.

a) The new force acting on solid 'S' is the gravitational force, which is a force acting from a distance.

b) The characteristics of the gravitational force are:

It acts in the downward direction.

It is a force that is exerted by the Earth on the solid 'S'.

Its magnitude can be represented by the vector shown below (using a scale of 1 cm to represent 1.3 N):

[asy]

unitsize(1cm);

draw((0,0)--(0,-1.3),Arrow(6));

label("$W$", (0,-0.65), S);

[/asy]

M is the mass, and R is the body's radius, hence g=R2GM (planet).The pendulum's time period varying as its acceleration with respect to gravity changes.

Example: On the surface of the earth, a basic pendulum swings for a period of time T 0. This straightforward pendulum would have a period of 12 /xT 0 on a planet with an earth-like density but a radius four times that of the earth.

Answer: T 0 = 2 π√g / L is the formula for a simple pendulum's time period.

The value of g changes in accordance with the mass of a different planet that we visit.

g=  GM / R² is the result.

M, which stands for mass, and R, which stands for body radius (planet).

Given, the radius is four times larger for a different planet with the same density.

Given, the radius is four times larger for a different planet with the same density.

M=density, volume, and p = 4/3 πR³

g=  G * (p 4/3 πR³ / R² = G * p 4/3 π R

Here, R = 4R

⇒ G×ρ 3 / 4 π(4R)=4g

T 0 represents the new time frame.

T0 = 2π √ L/4g = T0/2

Consequently, 12/ x = 2 /1 x=6 because of =T 0 /2.

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Answer:

Below

Explanation:

Normal force will be   mg cos 15° = 1.5*9.81 cos 15°   Newtons

Downplane force will be  mg sin 15° = 1.5 * 9.81  sin 15°    N

Acceleration

F = ma

F/m = a

1.5 ( 9.81) sin 15° / 1.5   m/s^2  = a

The heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

Styrofoam is a trademarked brand of foam insulation and craft material manufactured by the Dow Chemical Company. It is made from expanded polystyrene (EPS) beads that are fused together with steam and pressure. EPS is a lightweight and rigid material that is used for insulation, packaging, and soundproofing. Its properties make it an ideal material for crafting, floristry, model building, and other art projects. Styrofoam is stable in most environments and is resistant to water, oil, and most chemicals. It can be cut, shaped, and painted easily and is an excellent thermal insulator. In addition, it is also non-toxic and non-carcinogenic, making it a safe and economical choice for many applications.

Assuming that the wall is a perfect insulator, the heater will have to provide enough power to make up for the heat lost due to conduction and convection. The rate of heat loss per unit area is given by:

Q = λ*A*(T2 - T1)/d
Where:
λ = thermal conductivity of styrofoam (see table above)
A = Area of wall (3*3) = 9 m2
T2 = Temperature inside the house (25C)
T1 = Temperature outside the house (0C)
d = thickness of styrofoam insulation (2.5 cm)

Plugging in the values we get:
Q = 0.045*9*(25-0)/0.025 = 540 W
Therefore, the heater needs to provide 540 W of power just to make up for the heat lost through this one wall.

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The system that is more energy efficient is system A because it makes use of electricity to produce more results.

Energy efficiency is the use of less energy to perform the same task or produce the same result.

Energy-efficient homes and buildings use less energy to heat, cool, and run appliances and electronics, and energy-efficient manufacturing facilities use less energy to produce goods.

Energy efficiency has the following benefits:

According to this question, the following applies:

Based on the above explanation, it can be observed that system A is more energy efficient because it uses the same electricity to achieve more.

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The solid object that created the comet's nebulous tail is likely the nucleus of the comet, which is typically made of ice, dust, and rocky material.

Comet is a web application development technique that enables web applications to send and receive data from a server asynchronously without the need for a browser page refresh. It creates an interactive user experience by enabling a continuous connection between the client and server so that data can be exchanged in both directions. This type of communication is also known as a bi-directional, full-duplex connection. Comet is an umbrella term for several techniques for achieving this kind of communication.

The nucleus of a comet can range in size from a few hundred meters to tens of kilometers, though their average size is typically around 5 kilometers. As the comet approaches the Sun, its frozen material turns to gas, which is pushed away from the Sun by the solar wind and forms the nebulous tail that stretches millions of kilometers across the sky.

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4.71 s long (in s) does it take a child on a swing to complete one swing if her center of gravity is 5.53 m below the pivot.

The average position of an object's weight is known as its center of gravity. Any object's travel through space may be entirely explained in terms of how its gravitational center moves from one location to another and, if it is free to spin, how it rotates around that center of gravity. Calculations combining gravitation and dynamics may be made much simpler by treating an object's mass as though it were concentrated at a single location.

T=2π√(l/g)

T=2π√(5.53/9.81)

T=4.71

T =4.71 s

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The force with which the planet is attracted to the 10kg object is 4N.

Gravitational force is described as the most prevalent force in the universe, pulling together on any two objects with mass in the universe.

we have the following data:

Mass of object = 10 kg

Gravitational field strength = 4Nkg

To determine with what force the planet is attracted to the 10kg object:

Mathematically, the force with respect to the gravitational field strength is given by the formula:

Force = mass x gravitational field strength

Force = 10 x 4

force = 40 newton

We can conclude that the force with which the planet is attracted to the 10kg object is 4 Newton.

The gravitational field is the gravitational force exerted per unit mass on a small mass at a point in the field. The gravitational field strength at a point describes how strong or weak a gravitational field is at that point.

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All galaxies outside the Local Group are moving away from us, and the farther away they are, the faster they're going.

We may learn a lot about the nature of the cosmos from Hubble's rule, which states essentially that a known universe velocity (or, as it is commonly displayed, its redshift) is precisely proportionate to its distance. The relationship between distance and speed should not exist if the cosmos is constant and unchanging.

The Hubble-Lemaître law, commonly referred to as Hubble's law, is the finding in astrophysics that planets are eloping from Earth at rates proportionate to their separation. In other words, they are travelling away from Earth more quickly the more away they are.

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1.81*10^8m/s is the speed with which she have to be running for her 100m race to appear to be only 91 yard long.

Given:

Race length=100M=L

she has to appear=91yd

to find this we need to

[tex]L_{o}[/tex]=100M

1 yard =0.9144 meter

hence, L=91yard*0.9144/1

[tex]L_{o[/tex]=83.2104m

now do as follows:

L=[tex]L_{o}[/tex][tex]\sqrt{1-\frac{v^{2} }{c^{2} } }[/tex]

Solving the equation we get

v=2*9.88^8*[tex]\sqrt{\frac{83.21^{2} }{100^{2} } }[/tex]

v=1.81*10^8m/s

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The complete question is:

How fast would she have to be running for her 100m race to appear to be only 91 yard long? give your answer in terms of c.

Assuming the force acting on the objects is constant, a claim about inertia and acceleration which is supported by the data include the following: B. An object with a higher mass has more inertia which causes it to speed up less quickly.

Newton's First Law of Motion is also referred to as Law of Inertia and it states that an object in motion would continue in its state of motion at continuous velocity (same speed and direction) or if at rest, it will remain at rest unless it is acted upon by an external force.

This ultimately implies that, the amount of net force keeping a physical object moving at a constant speed and in a specific direction is always equal to zero (0) newton in accordance with Newton's First Law of Motion.

In this context, we can reasonably infer and logically deduce that a physical object that has a higher mass would have more inertia, which causes it to either experience a slower motion or speed up less quickly.

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Answer: its c

Explanation: i took the test

Heat that is emitted into the environment is harmful. The system's work output is zero.

The movement of mechanical energy from one item to another is referred to as work. Work is measured in the same units as energy since it is a movement of energy: joules (J). The total energy of an object will change as a force is applied to it across a distance. The object's kinetic energy will vary as a result of either acceleration or deceleration. Its potential energy will change, for instance, if it is raised up to a given height while being pulled by gravity.

Hence, sign are used based on the release and absorbed.

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The Curve horizontal or plateaued lines represent the change in the sample's states. The first plateau is a symbol of melting and the second one is a symbol of boiling (or transition from liquid to gas).

Phase changes are another name for the plateaus. Melting is the initial state shift (section BC) (changing from a solid to a liquid). While a substance melts, the temperature remains constant. This temperature is 0°C for water as that is also its melting point.

A heating curve is a plot or graph that charts the increase in temperature of a substance over time to determine

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(a) The normal force is 267.7 N and frictional force is 980 N.

(b) The minimum coefficient of static friction is 0.27, which is needed to prevent slipping at the base.

(c) The direction of the contact force is 1016 N.

∈(t) = 0

N₂ ( L sinθ ) = 800 ( [tex]\frac{L}{3}[/tex] cosθ )

N₂ = 267.7 N

(a) Normal force F(d) = N₂ = 267.7 N

Frictional force N = 800 + 180

                         N = 980 N

(b) The minimum coefficient of static friction,

F(d) = μ N₁

μ = F / N₁

μ = 267.7 / 980

μ = 0.27

(c) The direction of the contact force,

R = [tex]\sqrt{(980)^{2} + (267.7)^{2} }[/tex]

R = 1016 N

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Answer: See Explanation

Explanation:

Did the car travel at a constant speed?

This means "Is the speed at each interval the same?"

There are 10 intervals for which to calculate from.

For each one, the speed is the distance traveled divided by the time.

Each interval is 1 meter long (distance).

1st: 1 meter / 2.00 s = 0.5 m/s

2nd: 1 meter / (4.00 - 2.00) s = 0.5 m/s

3rd: 1 meter / (6.2 - 4.0) s = 0.454 m/s

Right here you can see that the speed is different, NO is the answer.

Average Speed = total distance divided by total time

v = d / t     v = (10 m) / (20:00 s) = 0.5 (m/s)

Describe the overall motion: (continue on with step one to see the total motion over the 10 meters)

4th: 0.552

5th: 0.472

6th: 0.5

7th: 0.5

8th: 0.4975

9th: 5.39

10th: 0.55

Overall motion stayed steady from 0-2 meters, slowed for the 3rd meter, sped up for the 4th, slowed down the 5th, stayed steady until slowing down in the 8th meter, then increased speed til the 10th meter.

Races would be practical applications to see where people/cars pace themselves, push themselves, etc.

The final temperature of the piece of iron with the mass of 9.8 grams on the absorption of 365J of energy is 113.56°C.

The specific heat capacity of a material can be defined as the quantity of heat energy (J) which is absorbed per unit mass (kg) of the material when its temperature is increased by 1 K (or 1 °C). The SI unit of specific heat capacity is J/(kg K) or J/(kg °C).

The specific heat capacity of a material can be calculated by the formula:

Q = m × c × ΔT

where, Q = heat energy,

m = mass of the material,

c = specific heat capacity,

ΔT = change in temperature

The final temperature of the piece of iron can be calculated by the formula:

Q = m × c × ΔT

ΔT = (Final temperature - initial temperature)

365J = 9.8 × 0.46 × ΔT

365J = 4.508 × ΔT

ΔT = 80.96

ΔT = Final temperature = initial temperature

ΔT = (T - 32.6)

80.96 = (T - 32.6)

T = 80.96 + 32.6

T = 113.56°C

Therefore, the final temperature of the piece of iron is 113.56°C.

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The velocity of both objetcs after the collision is 3.07m/sec if both object masses are 6.2 kg and 8.0kg respectively.

To find the velocity of both objects we need to conserve the momentum. We need to follow the law of conservation of momentum which states that initial momentum is equal to final momentum.

Now, we know that momentum =mass × velocity

So, initial momentum of first object=6.2×3=18.6Kg-m/sec

Similarly, initial momentum of second object=8×3.5=28.0kg-m/sec

Now, it is given that both object stick together, so total mass of both objects are=(6.2+8)=14.2kg

Now, both objects are moving with common velocity, so assume both have velocity v

=>So, final momentum of both objects is =14.2×v

according to law of conservation of momentum

=>18.6+25=14.2v

=>43.6=14.2v

=>v=43.6/14.2

=>v=3.07m/sec

Hence, final velocity of objects are 3.07m/sec.

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Three helium-4 nuclei (alpha particles) are turned into carbon by a series of nuclear fusion processes known as the triple-alpha process.

What results from the triple-alpha procedure as the finished product?

The triple-alpha process and the alpha process are two classes of nuclear fusion reactions that stars use to change helium into heavier elements. The alpha process is also referred to as the alpha ladder. [1] Only helium is used in the triple-alpha process, which also yields carbon.

Which statement concerning alpha particles in an atom is accurate?

Two protons and two neutrons make up alpha particles, which are identical to helium nuclei and have a positive charge.

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In a one-dimensional string, a harmonic wave has a maximum transverse velocity and maximum transverse acceleration of 1ms-1 and 1ms-2, respectively.

We have attached a harmonic wave with a frequency of 80 Hodge to the string. Additionally, a positive extraction travels at a speed of 12 m/s with an amplitude of 0.025 m. Next, we must create a proper wave function for this wave in the first. In light of this.

we have established that the frequency F is the hurt amplitude is 0.025 m, and the speed is 12 m/s. As a result, given that we are aware of the wave function's writing, we may determine whether or not the sign K x minus omega T applies. Omega, which equals two pi into, is the angular frequency in this case. Thus, we can say that this word has been introduced. 80 is to be purchased That makes 160 by, too.

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The new acceleration would be 24.0 m/s/s.

Acceleration is the rate of change of velocity of an object over time. It is a vector quantity, meaning that it has both magnitude and direction. Acceleration is the result of applying a force to an object, and can be described mathematically as the change in velocity (or speed) divided by the time it takes for the acceleration to occur. Acceleration can also be caused by a change in the direction of motion and is measured in meters per second squared (m/s2). It is an important concept in physics, and is used to describe motion in objects ranging from cars to planets.

The new acceleration would be 24.0 m/s/s. This is because the acceleration of an object is directly proportional to the force applied to it, and inversely proportional to its mass. Therefore, doubling the mass of the object would halve the acceleration, since the force applied to the object remains the same.

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The required values are a) T = 2.3 seconds, b)  f = 0.434 Hz, c) ω = 2.7 rd/s.

Simple harmonic motion, a particular kind of periodic motion in which a particle repeatedly oscillates around a mean location, In U-tube oscillating liquid column motion is hence simple harmonic.

Given,

Time = 11.5 seconds to five complete vibrations.

a) Time period is time taken to complete one vibration,

So T = 11.5/5 = 2.3 seconds

b) Frequency(f) = 1/T

f = 1/2.3 = 0.434 second inverse.

c) By using formula of angular frequency ω = 2π/T

ω = 2π/2.3 = 2.7 hz

Thus, final values are a) T = 2.3 seconds, b)  f = 0.434 second inverse, c) ω = 2.7 rd/s.

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Let us find first the forces at 1, 2 & 3 points.

We know that ke= 8.99 * 109N.m2 / C2

The forces are: -

F1 = keq1q2 / r212 = {8.99 * 109N.m2 / C2} * {10 * 10-6 C} * {40 * 10-6 C} / {10 * 10-2 m}2

F1 = 359.6 N

F2 =keq1q3 / r213 = {8.99 * 109N.m2 / C2} * {10 * 10-6 C} * {30 * 10-6 C} / {30 * 10-2 m}2

F2 = 29.96 N

F3 = keq2q3 / r213 = {8.99 * 109N.m2 / C2} * {40 * 10-6 C} * {30 * 10-6 C} / {20 * 10-2 m}2

F3 = 269.7 N

Now,

The net force on q1 is F1 – F2,

i.e. F1 + F2 = 359.6 + 29.96

F(q1) = 389.56 N to the left

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If an X-ray camera uses X-rays with a wavelength of 4.04. the frequency of the x-rays is 36.9 PHz.

Compared to ultraviolet rays and gamma rays, X-rays have a wavelength of 0.01–10 nm, which corresponds to frequencies in the range of 3×10⁻¹⁶–3×10⁻¹⁹ Hz and energies in the range of 100 eV to 100 keV.

using, C=Lf,

Where C is the speed of light,

L stands for  wavelength

Given,

C= 8.13 nm = 8.13* 10-9 m

f=C/L

f= (3x108m/s) / (8.13^ 10-9 m)

f= 3.69 x1016Hz (10 PHz = 1016Hz)

hence frequency, f= 36.9 PHz

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