a circuit contains an ac generator and a resistor. what haplens to the average power dissipated in the resistor when the frequency is doubled and the rms voltage is tripled?

After release, the magnitude of the net torque on the meterstick about the fulcrum is  nearly 1 N middot  m.

The term fulcrum refers to the point or support on which a lever rotates, or to the center of a key activity.

Given, distance between fulcrum and mark , d = 0.4 m

mass hung with fulcrum , m = 1 kg.

Value of another mass , m = 0.5 kg.

distance kept , d' = 1.0 m.

torque= F d- F1 (d1- d)

Torque = m g - m g(d1 - d)

= 1 * 9.8 * 4 - 0.5 * 9.8(1 - 0.4)

Torque = 1N

Thus,  the magnitude of the torque on the meterstick about the fulcrum is  nearly 1 N middot  m.

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A 1,000-mw (el) energy plant running at 35% thermal performance 100% of the time (base load). The quantity of CO₂ emitted through the plant is 7773579.832 metric tones consistent with year.

What is thermal efficiency?

The thermal efficiency of a heat engine is the percentage of heat energy that is transformed into work. Thermal efficiency is defined as. The efficiency of even the best heat engines is low; usually below 50% and often far below. So the energy lost to the environment by heat engines is a major waste of energy resources.

The amount of CO₂ emitted by the plant is 7773579.832 metric tonnes per year.

Power of the plant = Capacity of the plant = 1000 MW

Working efficiency = 35%

Time = 100%

Heating value of coal = 30 mj/Kg

One year KWh of the plant =

= 1000 X 1000 X 365 X 24

= 31536 X 10¹² metric tonnes per year

Amount of coal =

= (31536 X 10¹² ) / (30 X 10⁶ X 0.35)

= 3003428571 Kg

Thus, the amount of CO₂ emitted by the plant =

= (3003428571 X 44) / 17

= 7773579832 Kg/ year

= 7773579.832 metric tonnes per year

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The light collecting area of 140 m telescope is 196 times greater than 10 m telescopes.

The light collecting area is directly proportional to square of aperture:

A ∝ l²

Aperture of Keck Telescope = l₁ = 10 m

Aperture of 11 m telescope, l₂ = 140 m

Light collecting area of Keck telescope = A₁

Light collecting area of 110 m telescope = A₂

A₁ ∝ l₁²

A₂ ∝ I₂²

A₂/A₁ = I₂²/ l₁² = (140 m)²/(10 m)² = 196

Therefore, the light collecting area of 140 m telescope is 196 times greater than 10 m telescope.

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The rough region would the block travel if it had a mass of 2M is L/2. Option B.

Solution:

[tex]\frac{1}{2}[/tex] KA² =  MGL 2

Similarly, for the second case, we can write (let the distance traveled is x)

[tex]\frac{1}{2}[/tex]kA²= 2u Mgx  

Dividing the above equations we can write,

[tex]2x = L \Rightarrow x = \frac{L}{2}[/tex]

A property of a body that is a measure of inertia is usually viewed as a measure of the amount of matter contained in the body that causes it to have weight in a gravitational field. Mass is a dimensionless quantity that describes the amount of matter in a particle or object.

The mass of an object is a measure of its inertial properties or the amount of matter it contains. The weight of an object is a measure of the force exerted on it by gravity, or the force required to support it. Mass can best be understood as the amount of matter present in an object or body. Everything around us has mass.

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A one hundred forty nf capacitor is utilized in a preferred one hundred twenty volt ac circuit with a frequency of 60 hz, the capacitive resistance  = 18956 ohms.

What is a capacitor?

A capacitor is a device that stores electrical energy in an electric field by virtue of accumulating electric charges on two close surfaces insulated from each other. It is a passive electronic component with two terminals. The effect of a capacitor is known as capacitance.

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Using MATLAB's convvel function, the formula c=physconst(lightspeed); cfpm = convvel(c, "m/s," "ft/min") converts the lightspeed from m/s to ft/min. In milliseconds per second.

C represents the lightspeed. In feet per minute, the definition of cfpm is the speed of light. A fundamental physical constant, typically abbreviated as c, the speed of light in a vacuum is significant in many branches of physics. 299,792,458 metres per second (about 300,000 kph; 186,000 mph) is the exact value for the speed of light.

The MathWorks company created the proprietary multi-paradigm programming language and computer environment known as MATLAB (short for "MATrix LABoratory"). With MATLAB, you may manipulate matrices, plot functions and data, employ algorithms, build user interfaces, and interact with other programming languages.

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After 102.7 oscillations, the amplitude decreases to one-fourth of the initial value.

Amplitude is the separation between the wave's resting position and its maximum displacement. Frequency is the number of waves that cross a particular point in a second. Period is the length of time it takes for a wave cycle to complete.

λ = 1/51⋅0.20slog(1/2)

λ = −0.68⁻¹s

Using the previous finding, we can calculate the amplitude as a function of time to determine how long it will take before it reaches one-fourth of its initial value.

1/4=Aeλt

Solving for the time,

t = 1/λlog(1/4)

t = 20.4s

Comparing this result with the period,

t = 102.7T.

The amplitude is the largest displacement or distance that a point on a vibrating body or wave can move away from its equilibrium location. It is equal to dividing by two the length of the vibration path. The distance between a wave's resting position and its greatest displacement is known as amplitude. The frequency is the number of waves that pass through a specific location in a second. Period: the time required to complete a wave cycle to complete.

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The total time interval of magnetization is 6.28sec.

Given - Area is 0.050 m²

Magnetic field is perpendicular to loop.

M1=0.30 T and M2= 1.5T

electromotive force V=1.2 volt

To find the time interval for the change following concept used-

[tex]T=2\pi \frac{M2-M1}{V}[/tex]

T= 2 x 3.14 x 1.20/1.2

=6.28sec

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The correct option is (D). The (a) lamp with less resistance and (b) lamp with greater resistance.

(A) The total resistance reduces in comparison to the resistance of each individual lamp when the lamps are connected in parallel. Compared to the bulb with greater resistance, the lamp with less resistance will draw more current and become brighter.

(b) Compared to the resistance of each individual lamp, the total resistance rises when the lamps are connected in series. In comparison to the bulb with less resistance, the lamp with greater resistance will draw more current and become brighter.

Hence, the correct option is (D). The (a) lamp with less resistance and (b) lamp with greater resistance.

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#Complete question is:

Two lamps have different resistances. (a) If the lamps are connected in parallel, which one is brighter, the lamp with greater resistance or the lamp with less resistance? (b) If the lamps are connected in series, which one is brighter? Note that the brighter lamp dissipates more power.

A. (a) lamp with greater resistance; (b) lamp with less resistance

B. (a) lamp with greater resistance; (b) lamp with greater resistance

C. (a) lamp with less resistance; (b) lamp with less resistance

D. a. lamp with less resistance; b. lamp with greater resistance

The relationship between the force and length is given by  F = -kx.

What is hooke's law?

The force a spring applies to items fastened to its ends is proportional to the distance the spring travels from its equilibrium length and is always pointed in the direction of equilibrium.

The equilibrium point of the spring's free end is at x = 0, and if the x-axis of a coordinate system is selected to be parallel to the spring, then

F = -kx.

The term "spring constant" refers to the proportional constant k.

So,

K will be large if the spring is stiff or powerful, and it will be little if the spring is weak.

According to hooke's law

ΔF / Δx = k

Slope of the graph gives "spring constant"

So,

If we consider strong spring, then curve will have high slope.

and if we consider weak spring, then the curve will have low slope.

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The separation between the plates is [tex]8.51*10^{-8}[/tex].

Information: The distance between the square plates is 8.6 cm, and the rate at which the electric field changes is 1.3 x 106 V/m.s.

using formula: d=eA(E/t), d=8.85*10¬¹²*(0.086)²*1.30*10⁶

d=8.51*10⁻⁸m.

A flow of electrical charge carriers, often electrons or atoms deficient in electrons, is referred to as current. The capital letter I is a typical sign for current. The ampere, represented by the letter A, is the common unit.

It is current if it is true at the moment, right now, and in the present. The term current's origins all relate to its "present" sense. Things that are current are now occurring; they are a part of the present. Since past events are history and no longer news, news reporting focuses on "present affairs."

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Answer:

Yes the light travelling gets refracted through the tiny water droplets suspended in the air.

Explanation:

There are 2 types of rainbow which includes - Primary and secondary rainbow.

A primary rainbow is a coloured bow or arc that appears on a “screen” of water drops when light from a bright light source (the Sun or Moon) falls upon them. A thick “screen” of raindrops will produce more vivid colours than a thin curtain of fewer drops.

A secondary rainbow is appears outside of a primary rainbow and develops when light entering a raindrop undergoes two internal reflections instead of just one.

Therefore whatever we see comes from each single water drop due to refraction.

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The tension in the string when the rock is totally immersed in a liquid with density 750 kg/m3 is 25.6 N

The upward buoyant force of a given object can be said to be the same as the weight that it has.

The formula that would be used to get the tension is given as

[tex]mg [1 - \frac{P_{u} }{P_{object} } ][/tex]

Where we have Pu = 750 this is the liquid density

mg = 38.0 N. This is the tension in the string

P object is the rock density = 2300

[tex]38[1-\frac{750}{2300} ][/tex]

38 * 1 - 0.3260

38 * 0.674

= 25 . 6N

The tension is 25.6N

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The speed of the 1.50-kg ball just before impact is 5.557 m/s . After assuming that the collision is elastic, the velocities of both balls just after collision is -2.873 m/s and 2.684 m/s. After ignoring the air resistance, the ball swings up to the height of 0.420 m and 0.367 m.

(a) Initial speed = u = 5 m/s

Height = h = 0.3 m

Using the principle of conservation of mechanical energy, find the speed of the 1.50-kg ball just before impact,

=  V = √ (2gh + u²)

= V = √ (2 X 9,81 X 0.3 + 5²)

= V = 5.557 m/s

(b) Initial speed = u = 5 m/s

Height = h = 0.3 m

Weight of the ball = 4.6 Kg

Velocity of 1.50 Kg ball = u'

Velocity of 4.60 Kg ball = v

Now, assuming that the collision is elastic, find the velocities (magnitude and direction) of both balls just after the collision,

= 1.50(5.557 - u) = 4.60v

= 5.557 - u = 3.14v    [let this be equation 1]

and,

= 1.50(5.55² - u²) = 4.60v²

= 5.557² - u² = 3.14v²    [let this be equation 2]

By dividing 1 and 2,

= 5.557 + u = v  [let this be equation 3]

Now, adding 1 and 3,

= 11.114 = 4.14v

Substituting this in equation 3,

= u = -2.873m/s

Thus, for 1.50 kg ball, velocity is -2.873 m/s and that of 4.60 Kg ball is 2.684 m/s.

(c) To find the height,

For a 1.50 Kg ball, h =

= h = u² / 2g

= h = -2.873² / 2 X 9.8

= h = 0.420 m

For a 4.60 Kg ball, h =

= h = u² / 2g

= h = 2.684² / 2 X 9.8

= h = 0.367 m

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To convert gravitational force into newtons sm3/(kgs2), we need to know the units again for gravitational constant g.

The force that attracts two masses to one another in physics is known as gravity. If you can believe it, every every particle of matter in the cosmos pulls on every other particle. When referring to the attraction between anything with energy or mass, the terms attraction and gravity are sometimes used synonymously.

Because it continually attempts to bring masses together and drive them apart, the gravitational force is referred to as attractive. Given that the strength of the gravitational attraction is clearly inversely correlated with the masses of the two interdependent parts, it stands to reason that larger, more galaxies will attract one another would fiercely.

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The angular momentum is 609.84 kgm²/s². if the period is 1.2 seconds, then power is 66 n, and the attached please find is 7.7 m.

The phrase "force" has a specific meaning in science. At this level, calling a force a push or perhaps a pull is entirely appropriate. A energy is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living organisms and non-living objects in the concept of a force.

x = m1x1 + m2x2 + m3x3 & y = m1y1 + m2y2 + m3y3/m1 + m2 + m3

x = 6*6 + 5*5 + 4(-4)/15

= 36 + 25 - 16/15

= 3

y = 6*0 + 5*5 + 4(-3)/15

25-12/15 = 13/15

(x,y) = (3, 13/15)

Let L = mvr - (i)

Also F = mu = mdv/dt

∫Fdt = m∫dv = Ft = mv + c -(ii)

When t = 0, v = 0, ⇒ c= 0

u becomes Ft = mv - (iii)

1/tu = L/Ft = r

L= Ftr

L = 66*1.2*7.7

L= 609.84 kgm²/s²

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A toggle clamp is a device that you employ, often but not exclusively as part of a production process, to firmly place components or parts in place.

Explain about toggle clamp.

A toggle clamp's main characteristics are its rapid action and ability to be easily turned on and off by an operator. Toggle clamps also lock in place firmly. Because of this, toggle clamps are frequently employed in production lines where components need to be held firmly and quickly removed during routine manufacturing procedures.

Toggle clamps with standard or light action are often constructed from components of pressed steel that have been zinc-plated.

Depending on the setting in which you work, Stainless Steel is another alternative for Toggle Clamp production. Stainless steel toggle clamps are frequently used in regulated areas where hygiene is crucial, such as the food industry and the pharmaceutical business.

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The ratio of energy needed to escape from the surface of the moon to the energy needed to escape from the earth is 0.045

The ratio of energy needed to escape from the surface of Jupiter to energy needed to escape from the earth is  28.5

Calculation:-

Mass of earth = 5.95 *10²⁴ kg

Mass of moon = 7.36*10²² kg

Mass of Jupiter = 1.89 * 10²⁷kg

The radius of the earth = 6.37 * 10⁶ m

The radius of the moon = 1.74 *10⁶ m

The radius of Jupiter = 6.99 *10⁷

The amount of energy needed to escape from the surface is the same as its gravitational potential energy at the original position.

The formula is as follows:

K = GMm/R

where, M, and m are masses, R is the radius, G is the gravitational constant and K is energy.

DetermiNE the ratio of energy needed to escape from the surface of the moon to energy needed to escape from the earth.

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The correct answer from the problem above about direction of the angular velocity of the wheels, ω, relative to the direction the moving car is:

The angular velocity of the wheels, ω is used to derive how quickly the wheel can rotate in a given period.

The correct answer choice is option b.

An angular velocity can simply be defined as a vector quantity which determines how fast or the time rate a particular object revolve in relation to another point. From the context of the problem given above, the wheels of this moving object moves forward in a linear velocity below:

v = rω

Where:

v = linear velocity

r = radius

ω = angular velocity.

In conclusion, it can be therefore deduced from the explanation given above that angular velocity is the velocity along a circular path with respect to time rate.

Complete question:

You are driving a car forwrd with a constant speed. Which of the following is true about the direction of the angular velocity of the wheels, ω, relative to the direction the car is moving.

a. The greater the angular velocity of the wheels, ω, the lower the velocity of the car.

b. The angular velocity of the wheels, ω is used to derive how quickly the wheel can rotate in a given period.

c. a and b

d none of the above

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Yes, the official is correct. The rules state that when a player sets a rear screen he or she must give the defender enough time to avoid contact by making a move to the side of the screener.

What is contact?
Contact is the act of making physical contact or exchanging words with another person or object. More and more, the question is how on earth we would ever make contact with extraterrestrial life, not whether there's some other life in the universe. To establish communication, whether it be verbal, physical, or another type, is to "make contact" (the noun). It means to establish a certain communication to contact (the verb). Good luck if you're trying to get in touch with Madonna. She employs individuals whose sole responsibility it is to keep people like you from contacting her. Positive and negative contacts are present on batteries. They are the points of contact between the battery and the object receiving power.

Since B-2 had not yet placed a foot on the floor, A-1 did not give them enough time to avoid contact, therefore it was a team-control foul.

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The frequency of the light emitted by the mercury is 1.18×10¹⁵ Hz.

Frequency is the number of complete cycle covered by a wave in one seconds.

To calculate the frequency of the light, we use the formula below.

Formula:

Where:

From the question,

Given:

Susbtitute these values into equation 1

Hence, the frequency of the light is 1.18×10¹⁵ Hz.

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The total power dissipated by the resistor is 6.30 V x 3.15 A = 19.845 W.

What is power?
The quantity of energy transferred as well as converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power inside the International System of Units. Power is sometimes referred to as activity in older works. A scalar quantity is power.

Power has been related to other factors; for instance, the power required to move a ground vehicle is equal to the product of the vehicle's velocity, traction force on its wheels, and aerodynamic drag. A motor's output power is calculated by multiplying its torque output by the angular velocity of its driveshaft.

The total power dissipated by the resistor is equal to the voltage of the battery multiplied by the current through the resistor.

Since the voltage of the battery is 6.30 volts, and the resistance of the resistor is 2ω, then the current through the resistor is equal to 6.30 V/2ω = 3.15 A.
Therefore, the total power dissipated by the resistor is 6.30 V x 3.15 A = 19.845 W.

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Among proton and an electron which are placed in an electric field a proton will undergo lesser acceleration.

According to Newton's 2nd law ;

F[tex]net[/tex] = ma

m is the object's mass

a is its acceleration

F[tex]net[/tex]  is the net force acting on it.

∴The electric force on a charged object is given by

F[tex]e[/tex] = Eq

Where,

F[tex]e[/tex] is the electric force

E is the electric field at the point where the object is

q is the object's charge.

Here, we assume that if the only force acting on the proton and electron is the electric force due to the electric field, that for both particles,

F[tex]net[/tex] = F[tex]e[/tex]

F[tex]e[/tex] = Eq

Eq = ma

a = Eq/m

We'll also suppose that the proton and electron are both subject to the same electric field. The charge of the proton and electron is the same (1.6 10⁻¹⁹ C). Their masses determine how differently they accelerate.

∴mass of proton = 1.67×10⁻²⁷kg

∴mass of electron = 9.11×10⁻³¹kg

Since an object's acceleration is inversely proportional to its mass, the electron will accelerate more slowly than the electron.

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Answer: Plasma is made up of groups of positively and negatively charged particles but particles of a gas are mostly uncharged.

Explanation:

Because unlike ordinary gases, plasmas are made up of atoms in which some or all of the electrons have been stripped away and positively charged nuclei, called ions, roam freely.

Aristarchus argued that Earth rotates on its axis.

Who was Aristarchus of Samos?

Ancient Greek astronomer and mathematician Aristarchus of Samos proposed the first known heliocentric model, according to which the Sun is at the center of the known universe and the Earth revolves once a day around the Sun.

Aristarchus believed the stars to be very distant suns, and as a result, he believed there was no detectable parallax—the movement of the stars with respect to one another as the Earth revolves around the Sun. Aristarchus determined that planets circled around the Sun after discovering that the Sun was much larger than the Earth and the other planets.

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According to the information available in the question, the force constant is 2.37N/m.

Using the relation;

T = 2π√m/k

T = period = 0.500 s

m = mass in kilograms = 0.0150-kg

k = spring constant = ?

Making k the subject of the formula;

k = 4π^2m/T^2

k = 4 × (3.142)^2 ×  0.0150/(0.500 )^2

k = 2.37N/m

What is force?

A mass object's velocity changes when it is pushed or pulled. Its SI unit is Newton and its base SI unit is [tex]kgm/s^{2}[/tex]. A device, spring balance is used to measure force.

There are two effects of force, it changes the speed and the direction.

How much force is 1 newton?

1 newton is the amount of force, is the force required to accelerate a mass of 1 kg at 1 m per second with respect to time.

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51.3 x 10^14 is the frequency and the wavelength is 0.58 x 10^-7 m .

The distance between two wave crests, which also applies to troughs, is known as the wavelength. The frequency is measured in microseconds (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz).

Briefing :

Well use the Planck’s equation to find the frequency of the laser;

E = hν  where;

E = energy

h = Planck's constant = 6.626 x 10-34 J·s

ν = frequency

3.4x10^-19 j = 6.626 x 10-34v

v = 3.4x10^-19 j −19/6.626 x 10-34

v = 51.3 x 10^14

To find wavelength;

v  =c / λ where;

c = speed of light = 3 x 10^8 m/sec

51.3 x 10^14 = 3 x 10^8 / λ

λ = 3 x 10^8/51.3 x 10^14

=0.58 x 10^-7 m

Based on the wavelength of the laser which is 0.58 x 10^-7 m, the color of the laser is RED.

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The work done by the system including the algebraic sign is  -89.9 J.

Work done on the system = W = 224.0 J

Heat extracted from the system =  Q = - 313.9 J

Using the first law of thermodynamics,

The work done by the system is = U =

= U = Q + W

= U = -313.9 + 224.0

= U = -89.9 J

The First Law of Thermodynamics states that heat is a form of energy, and thermodynamic processes are therefore subject to the principle of conservation of energy. This means that heat energy cannot be created or destroyed.

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The satellite has an orbital speed of 5.59*103m/s, a revolution lasts 3.98 hours, and a gravitational force of 1.47*103N pulls on it.

The rate at which an object orbits central habitable zone of a system, which is often a large body, is known as its orbital speed. The earth orbits the sun at a speed of 108,000 km/h.

(a). V² = Gm/R+h

Therefore

V² = 6.667*10⁻¹¹*5.98*10²⁴/2*6.38*10⁶

V = 5.59*10³m/s

(b). V = 2π (R + h)/T

Hence

T = 2π (R + h)/V

T = 2π (R + h)/2*3.14*6.38*10⁶/5.59*10³

T = 3.98 hours

(c). F = GMm/R+h²

Therefore

F = 6.67*10⁻¹¹*5.98*10²⁴*650/2*6.38*10⁶

F = 1.47*10³N

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The complete question is-

A 650-kg satellite is in a circular orbit about Earth at a height above Earth equal to earth’s mean radius. Find (a) the satellite’s orbital speed, (b) the period of its revolution, and (c) the gravitational force acting on it.

The age comparison given between my age and the age of an individual n my group is a relative age.

The relative age of an individual is the age of that individual when compared to the age of other people.

The Absolute age of an individual is the exact age of an individual given in years.

Considering the statement above:

You are the same age as someone in your group

The age given here is a comparison of the ages of two individuals without giving the exact age in years. Hence, the age given is a relative age.

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