What is cutoff frequency Mcq?

The act of waves spreading out after passing through a tight opening happens when they cross the edge of a surface, as they are twisted around an object, and as they pass through the aperture's narrow opening. phenomenon where the amplitudes of two or more waves combine.

When a wave runs into a minor obstruction or an opening, it may bend to get around it or pass through it before spreading out. The term "diffraction" refers to this bending or spreading out.

A wave that runs into a minor obstruction will typically bend around it. Diffraction is the name given to this wavefront bending.

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The relationship between wavelength, energy, and frequency is expressed by the formula E = hv = hc/, where E is energy, h is Planck's constant, v is frequency, c is the speed of light, and w is wavelength.

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According to newton's third law, what is the equal and opposite force to the downward force of gravity pulling on a man standing on the beach?

[tex]\fbox{The man pulling upward on earth}[/tex]

The most common example of inverse variation is distance and speed. As the speed increases the distance decreases.

Unemployment and inflation have a well-known inverse relationship. When the value of one parameter rises while the value of the other decreases, the parameters, such as time and distance, are inversely connected. When x is not equal to zero and k is a nonzero real number constant, the nonlinear function known as inverse variation is described by the equation x y = k. If there is a nonzero constant k such that y = k x, then the variable y fluctuates directly as x. A link between two variables that can be mathematically described by an equation in which the product of the two variables equals a constant. The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a spherical function.

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Jump, endless, detachable, endpoint, and mixed discontinuities can all be categorised. The existence of the limit is a characteristic of removable discontinuities.

Redefining the function is one way to "repair" removable discontinuities. Endpoint Discontinuities: There is only one one-sided limit. Mixed: None of the one-sided constraints exist, at least in part. Below is a graph of f (x), which demonstrates a function that discontinues when x = a. Mixed: None of the one-sided constraints exist, at least in part. Both one-sided limits are present in 1 Jump Discontinuities, although they have distinct values. Both one-sided limits are infinite, resulting in two infinite discontinuities. Three endpoint discontinuities: There is only one one-sided limit. 4 Mixed: None of the one-sided constraints exist, at least in part.

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During the height of the development of that form, realism's emphasis on objectivity, detachment, and accurate observation, as well as its clear but restrained criticism of social norms and environments, and the humane understanding that underlay its moral judgments, all played a significant role in the development of the modern novel.

Realistic thinking centered on portraying everyday reality in its truest form. Realistic thinking is concerned with the present moment, with actual events and their verifiable results. Realism aims for a one-to-one correspondence between the topic and the depiction. It also goes by the name mimesis.

Three schools of realist thought exist: human nature realism, state-centric realism, and system-centric realism.

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While loading the passengers on to the boat we should make sure that we position them write above the centre of mass of the boat.

The center of mass is a point in or outside anybody where we consider that the whole mass of the body is concentrated. We know that when are boat is hovering over a fluid it will experience some upward force which is equal to the mass of the fluid displaced by the boat.

When we position the passengers write about the centre of mass of the boat, we reduces the chance of disbalance of the boat by a very significant level.

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At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s, its mechanical energy becomes: 40450 J

Mechanical energy, also known as kinetic energy or potential energy, is the energy that an item possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy.

In order to efficiently create electricity or convert energy, many sources of renewable energy depend on mechanical energy.

A compressed spring, for instance, has mechanical energy in the form of potential energy, whereas a moving vehicle has mechanical energy in the form of kinetic energy.

Given that,

mass (m) = 100 kg

speed (v) = 5 m/s

height (h) = 40 m

Total mechanical energy of the roller coaster at point A

= Potential energy at point A + Kinetic energy at point A

= mgh + (1/2)mv²

= (100×9.8×40)+ [0.5×100×(5)²]

= 39200 + 1250

= 40450 J (Answer)

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The safety procedures to follow when refueling includes emptying the vehicle and turning of the engine.

Some certain safety procedures has to be followed while refueling the vehicle.

1. We have to make sure that we turn off the engine while refueling because keeping the engine on while refueling can give price to an unexpected explosion.

2. There are certain vehicles that have the gas cylinders in them as a fuel tank, in these cases we have to make sure that there is no one sitting inside the car while refueling. Doing this is not an economical thing and also it can give rise to certain unexpected accidents.

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The center of mass won't accelerate .Option (A)

Center of mass could be a position outlined relative to associate degree object or system of objects. it's the common position of all the components of the system, weighted consistent with their plenty.

from the question,

[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]

the mass of the primary object is M1

the mass of the second object is M2

the acceleration of the primary object is a1

the acceleration of the second object is a2

acceleration (a) = force by mass

a = F/m

a1 = F/m1                                          

where F is force                                           ( F = [tex]2.7\times 10^{-10}[/tex])

a1 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]

a1 = [tex]1.35 \times 10^{-10} m/s^2[/tex]        ( towards right )

a2 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]

a2 = [tex]1.35 \times 10^{-10} m/s^2[/tex]          ( towards left)

so by this we can say this

a1 = [tex]+1.35 \times 10^{-10} m/s^2[/tex]

a2 = [tex]-1.35 \times 10^{-10} m/s^2[/tex]

to find the acceleration of center of mass

[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]

[tex]a_{com} = \frac{2 \times 1.35 \times 10^{-10} -2\times1.35 \times 10^{-10} }{2+2}[/tex]

a = 0 / 4

a = 0

so by this we can say that

The center of mass will not accelerate

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a)Work performed by 2.4 N force: W = 3.6 J

b)work performed by o.6 N frictional force: W = -0.9 J

c) The normal force's work on the book, W = 0 J

d) Gravitational work on the book, W = 0 J

e) Work completed, W = 2.7 J

A force is an influence that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to define force is as a push or a pull. Two surfaces that come into contact and glide against one another produce frictional force. The part of a contact force that is perpendicular to the surface that an item encounters is known as the normal force.Gravity, which means "weight" in Latin, is a basic force that attracts all objects with mass or energy to one another.The explanation is shown in the accompanying picture.

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Answer:

Approximately [tex]4.25\; {\rm N}[/tex] as long as the wooden block continues moving.

Explanation:

Since the wooden block is moving, the friction on the block will be kinetic friction. This friction will be proportional to the magnitude of the normal force on the block. Specifically:

[tex]\begin{aligned}& (\text{kinetic friction}) \\ =\; & (\text{normal force})\, (\text{kinetic friction coefficient $\mu_{k}$}) \end{aligned}[/tex].

In this question, since the surface is horizontal, the only vertical forces on this block will be:

These two forces will balance each other. Thus, [tex](\text{normal force}) = (\text{weight})[/tex].

[tex]\begin{aligned}(\text{normal force}) &= (\text{weight}) \\ &= (\text{mass})\, g\end{aligned}[/tex].

Substitute to obtain:

[tex]\begin{aligned}& (\text{kinetic friction}) \\ =\; & (\text{normal force})\, (\text{kinetic friction coefficient $\mu_{k}$}) \\ =\; & (\text{mass})\, (\text{kinetic friction coefficient $\mu_{k}$})\, g\end{aligned}[/tex].

In other words, the kinetic friction on the block is proportional to the mass. As long as the block continues moving, increasing mass from [tex]1200\; {\rm g}[/tex] to [tex](1200 + 500)\; {\rm g} = 1700\; {\rm g}[/tex] will increase friction to [tex](1700 / 1200) = (17/12)[/tex] the initial value, [tex](17/12)\, (3\; {\rm N}) \approx 4.25\; {\rm N}[/tex].

After the core of a massive star becomes a neutron star, the rest of the star’s material falls inward and gets compressed to incredible densities.

The correct option is C.

Star which is larger than eight solar masses during its regular main sequence lifetime is considered a massive star.

Massive stars typically have a quick main sequence phase, a short red supergiant phase, and a spectacular death via a supernova explosion.

If the core of a massive star becomes a neutron star, the rest of the star’s material is known be be compressed to incredible densities.

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Compared with the orbits of the short period comets, the orbits of long period comets can come from all directions.

Short period comets come from the kuiper belt. Comets of long period come from the ort cloud which is a cloud debris surrounding the sun at a distance of 1 light year.

Long period comets have orbital period more than 200 years. Their orbits are inclined in the ecliptic plane. They may be perturbed by a passing star. Their orbits are highly inclined because of spherical origin.

They can be seen in night sky with much brilliance. Their brilliance is because thy have not passed from inner solar system.

Short period comets have orbital period less than 200 years. Haily type comets are example of short period comets.

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The work done by the motor is 196×10⁴Joules, if a motorized cable moves a 2000kg elevator upwards for 10m.

We know that from The work-energy hypothesis, otherwise called the rule of work and dynamic energy, expresses that the all out work done by the amount of the multitude of powers following up on a molecule is equivalent to the adjustment of the motor energy of that molecule. This clarification can be reached out to inflexible bodies by portraying crafted by rotational motor energy and force

In order words, W=F.dx

where F is the force applied on the body, dx is the displacement of the body.

Now, for calculating force we know that gravity is acting on it

So, force applied on the body is =mg where m is the mass and g is acceleration due to gravity.

We have m=2000kg and g=9.8m/sec²

So, value of mg=2000×9.8=19600.0=19600N

Now, we have displacement(dx)=10m

So, work done=196000 × 10=1960000Joules or 196×10⁴Joules.

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Co2 alone was responsible for roughly two-thirds of the overall heating effect of all life form greenhouse gases in 2021, according to observations even by NOAA Global Monitoring Lab.

About 76 percent of all greenhouse gas emissions are made up of CO2.Nitrous oxide generates 6 percent of global emissions, while methane, which is mostly produced in agriculture, accounts for 16% of greenhouse gas emissions.

Fossil fuels, which include coal, oil, and gas, are by far the biggest cause of climate change, contributing more than 75% of all emissions of greenhouse gases and almost 90% of all emission of carbon dioxide.

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a) The kinetic energy of the bullet is 1.996 joule.

b) The total work done on it is 1.996 joule.

c)  The average force on the bullet is 2.661 N.

d) The  magnitude of the force bringing it to rest is 1.33 N.

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given that: . A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.

a) the kinetic energy of the bullet = (4.00/1000)×998/2 joule = 1.996 joule.

b)  If it starts from rest, the total work done on it = kinetic energy of it = 1.996 joule.

c) If the work is done over a distance of 0.75 m, the average force on the bullet is = work done/distance =  1.996/0.75  N = 2.661 N.

d)  If the bullet comes to rest after penetrating 1.50 cm into a piece of

metal, the magnitude of the force bringing it to rest is = 1.996/1.50 N = 1.33 N.

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Scientists utilize the EM300 device to produce exact maps of the a seafloor.The EM300 can operate in water as shallow as 10 meters and as deep as 5000 meters.

Dive and Discover:Sonar is used in oceanographic research.Today, echo sounding is the primary method used by scientists for map the seafloor.

Today, sonar aids in the creation of bottom maps, buoys and water depth samplers are used to track the effects of sea level changes on water quality parameters, coring devices collect samples of sediment, and remotely operated vehicles (ROVs) enable everybody to effectively and safely discover any oceanic region.

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The constellation that will be closest to the sun at sunset on this day is called Taurus.

But have you ever questioned whether the Sun is a part of any of these constellations. The short answer is that the Sun officially has no constellation, according to both contemporary astronomy and old astrological tradition.

After passing through each sign in turn—Scorpius the Scorpion, Ophiuchus the Serpent Charmer, Sagittarius the Archer, Capricornus the Seagoat, Aquarius the Water Bearer, Pisces the Fish, Aries the Ram, Taurus the Bull, Gemini the Twins, Leo the Lion—the Sun returns to Virgo the Maiden, where the cycle starts over again.

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Option C) The experiment in which the speed of the object was changed

is only statement that doesn't satisfy the given data as shown below:

The above statement can be verified using the calculation:

Formula for centripetal force(F) = [tex]\frac{mv^2}{r}[/tex]

where m is mass of object , v is speed of object and r is radius of the circular motion.

For option A) when only mass of object is changed and rest all are same.

so F = k*m where k = [tex]\frac{v^2}{r}[/tex] as both are constant

=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5

and [tex]\frac{m_1}{m_2}[/tex] = 0.1/0.2 =0.5

so [tex]\frac{F_1}{F_2} = \frac{m_1}{m_2}[/tex]

similary [tex]\frac{F_2}{F_3} = \frac{m_2}{m_3}[/tex] and hence data is correct for option A)

For option B) when only radius of object is changed and rest all are

same.

so F = k/r where k = [tex]m*v^2[/tex] as both are constant

=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5

and [tex]\frac{r_2}{r_1}[/tex] = 0.3/0.6 =0.5

so [tex]\frac{F_1}{F_2} = \frac{r_2}{r_1}[/tex]

so both are same , similary [tex]\frac{F_2}{F_3} = \frac{r_3}{r_2}[/tex] and hence data is correct for option B

For option C) when only speed of object is changed and rest all are

same.

so F = k*[tex]v^2[/tex] where k = [tex]\frac{m}{r}[/tex] as both are constant

=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/9.09 = 0.44444

and [tex]\frac{v_1^2}{v_2^2}[/tex] = 4.08/9.181 =0.44439

so ,[tex]\frac{F_1}{F_2}[/tex] ≠ [tex]\frac{v_1^2}{v_2^2}[/tex]

and hence data is not correct for option C

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Complete question:

A student conducts three experiments to determine how certain quantities influence the centripetal force responsible for an object to spin in a horizontal circle. The student uses one end of a string to attach the object while the other end is connected to a force sensor that allows the student to change the tension on the string, as shown in the figure. The student records data from the three experiments in the table above. Which of the following experiments, if any, collected data that do not agree with the expression for the net centripetal force on the object?

A)The experiment in which mass was changed

B)The experiment in which the radius of the circular path was changed

C)The experiment in which the speed of the object was changed

D)All the data are expected.

These sources can be found primarily in three different contexts: industrial processes, natural gas processing, and fuel combustion activities.

CO2, or carbon dioxideThe main source of CO2 is the burning of fossil fuels.Indirect human-induced effects on forestry as well as other land uses, such as deforestation, clearing land for agriculture, and soil deterioration, can indirectly release CO2.

There are two main sources of atmospheric carbon dioxide: natural processes and human activity.The majority of animals, who exhale in the form of a waste product, are natural sources of dioxide.

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The resistance R divided by the potential difference V yields the current I. We simply need to determine the potential difference and resistance of the circuit in order to determine the current in this ammeter, which measures the current of the circuit.

The ammeter is linked to the circuit in series. Therefore, its reading will reflect the amount of current flowing through the circuit. Consequently, the ammeter's reading is 1A.

We can easily calculate current by dividing the total charge by the measurement period. I = Q t, where I stands for current, Q for charge, and t for time, is a formula for calculating current.

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The net force on 20 kilogram ball rolling down the ramp is 240 N.

Newton's law relates the acceleration of the ball and mass of ball. The relationship or formula between the two is as follows -

F = ma, where F is force, m is mass of ball and a is the acceleration of ball. Keep the values in formula to find the net force acting on the ball.

Force acting on the ball = 20 × 12

Performing multiplication on Right Hand Side of the equation

Force acting on the ball = 240 N

Thus, the force ont the ball is 240 N.

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The number of star or object that matches each description are Giant stars, Redshifted and blueshifted spectral lines, Binary stars, Cepheid variable stars, and Nebulae and emission spectra.

Based on this information, you can classify the stars in the table as follows:

Star 5: Binary star (indicated by the presence of two spectra shifting in opposite directions)

Star 6: Cepheid variable star (indicated by the intensity of some spectral lines decreasing in a regular cycle)

Star 7: Giant star (indicated by narrow spectral lines due to low atmospheric pressures)

Star 8: Nebula (indicated by the presence of an emission spectrum with bright lines of color against a dark background)

Star 9: Star with redshifted spectral lines (indicated by the shift toward the red end of the spectrum)

Star 10: Star with blueshifted spectral lines (indicated by the shift toward the blue end of the spectrum)

Unusual features in these spectra could include the presence of two spectra shifting in opposite directions (indicating a binary star), the intensity of some spectral lines decreasing in a regular cycle (indicating a Cepheid variable star), or the presence of an emission spectrum with bright lines of color against a dark background (indicating a nebula).

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It serves as a shorthand for the collection of all natural numbers. Positive, non-zero whole numbers make up the natural numbers.

Natural Numbers (N) are the whole numbers 1, 2, 3, 4, and so on. They are also known as positive integers, counting numbers, or natural numbers (W). The collection of natural numbers is indicated. The letter n is used to begin the word number. This is why the n symbol is used in mathematics.

The parameter n is referred to as the "index of summation." As you go from the first number to the last, replace the index of summation with consecutive integers to create the terms of a series expressed in sigma notation.

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The best way to know what the safe load is for the boat is to calculate the buoyancy of the boat.

According to the Archimedes' principle, when a body is some merged in a liquid partially or fully, an upward force is applied on the body by the fluid that is equal to the weight of the fluid displaced by the body.

This upward force is called buoyancy.

As long as the weight of the lord on the boat is equal to the buoyancy of the boat it can we considered a safe load limit for the boat.

The buoyancy of the boat can be calculated by using the volume of the boat the density of the liquid in which the boat is going to serve and the acceleration due to gravity.

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The transmission will be seen as an electromagnetic wave. Radio antennas, like flashlights, emit lower energy photons that our eyes cannot see.

A cyclically alternating voltage causes electrons in the antenna's cables to jiggle back and forth. By the way, radio frequency photons have significantly less energy than visual photons. Yes, radio antennas can emit visible light, but most likely not in the way you expect. Through the process of thermal radiation, you can heat up a radio antenna until it glows and emits visible light if you apply enough energy to it.  Radio antennas, like flashlights, emit lower energy photons that our eyes cannot see.

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The relationship between wavelength and frequency is λ=c/f. According to the equation, v = f λ, frequency and wavelength are inversely proportional to each other.

It is measured in the wave's direction. The frequency decreases as the wavelength lengthens In a similar vein, A wave's wavelength and frequency are inversely related. The quantity of wave crests passing a specific place in a second is known as frequency. In order for this to occur, the wavelengths must be short; at higher frequencies, more wave crests will pass the site each second. The relationship between frequency and wavelength is inversely proportional. Less frequency corresponds to a longer wavelength and vice versa. A wave's wavelength and frequency are inversely proportional. This translates to a small wavelength for waves with a high frequency.

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(a) The average power of the elevator motor during this period will be 6431.25 W

(b) Power delivered by the motor during Constant speed motion. is greater than power delivered during moving at a Constant acceleration

Mass of elevator. m=700 kg

Initial velocity.u =0 m/ s

Final velocity v=1.75 m/ s

time [tex]\Delta t[/tex] =2.5 sec

(a) Average power of elevator motor the this during Period [tex]P{avg =\frac{w}{\Delta t}[/tex]

We know [tex]W=F\cdot d \cos \theta[/tex]

[tex]W_{motor }=F_{motor } d \cos 0^{\circ}[/tex]

W_{motor}=F_{motor } d

Net force = F_{net}=F_{motor}mg

As per Newton's Second Law ma =F_ {motor }-mg

Now applying the equation of motion: v=u+at

1.75=0+a*2.5 =>a=0.7 m/s^2

[tex]F_ {motor}=Ma+g=700(0.7+9.8) \\\Rightarrow F_ {motor}=7350 ~N\\d=ut+\frac{1}{2} \times a \times t}^2\\\Rightarrow d=0 t+\frac{1}{2} \times 0.7(2.5)^2\\d}=2.1875 m[/tex]

[tex]W_{motor}=F_{motor} \times d=7350 \times 2.1875=16078.125 J\\P_ {avg }=\frac{W_{motor }}\Delta t}=\frac{16078.125}{2.5}=6431.25 W[/tex]

B) if the elevator is Constant with moving up speed

F_{net}=F_{motor }-mg

But a =0

So, F_motor=mg = 700*9.8=6860 N

So, the value of the distance moved will be:

[tex]\triangle \mathrm{x}=\mathrm{vt}=1.75 \times 2.5=4.375 \mathrm{~m}\\\\\mathrm{~W}_{\text {motor }}=\mathrm{F}_{\text {motor }} \Delta \mathrm{x}=7350 \times 4.375=32156.25 \mathrm{~J}\\\\\mathrm{P}_{\text {avg }}=\frac{32156.25}{2.5}=12865.5\mathrm{w}\\\\[/tex]

[tex]\frac{\left(\mathrm{p}_{\text {avg }}\right) \mathrm{a}}{\left(\mathrm{p}a_{\text {avg }}\right) \mathrm{b}}=\frac{6431.25}{12865.5},\left(\mathrm{p}_{\text {avg }}\right) \mathrm{a}=0.499 \times\left(\mathrm{p}_{\mathrm{avg}}\right) \mathrm{b}[/tex]

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A radioactive isotope's half-life is the length of time it takes for one half of it to decay.

The duration needed for a quantity of a radioisotope to decay by half is known as its radioactive half-life. If an isotope has a half-life of only a few hours or less, the majority of the radioactivity will dissipate within a few days.

A radioactive element's half-life is the amount of time it takes for it to decay to half of its original value. It can be concluded from this that a source's activity has a half-life if it takes some time before it drops to half its starting value.

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