An aluminum rod is 300m and at 25 degree Celsius. Calculate the change in rod
length at 45 degree Celsius

After solving the equation the ball rebound is θ2 = 18.88° is the correct answer.

What is Potential energy?

Potential energy is the energy held by an object due to its position or composition. It is the energy of an object that is stored and waiting to be released. This energy is due to the force of gravity, electric charge, and/or the force of a spring. Potential energy is also known as “stored energy”. It is measured in units of joules (J). Potential energy can be converted into kinetic energy, which is the energy of motion. Examples of potential energy include the energy stored in a stretched rubber band, the energy stored in a roller coaster car at the top of the hill, and the energy stored in a boulder at the top of a mountain. Potential energy can also be found in chemical bonds and nuclear energy.

Here Potential energy will convert to Kinetic energy,

P.E. (initial) + K.E. (initial) = P.E. (Final) + K.E. (Final)

 M g L (1 – Cos 45) + 0 = 0 + ½ mv2

 v2 = 2gL (1 – 1/0.414)

 v = (2* 9.8* 1)0.5 * (1 – 1/0.414)0.5

 v = 2.396 m/s

Thus, when ball strikes its velocity is 2.396 m/s.

From conservation of momentum

M1v1 + m2v2 = m1V1 + m2V2

0.2*2.396 = 0.2 V1 + 0.5 V2

Here, since no information is given for collision.

I am considering it to be elastic,

U1 – U2 = V2 – V1

U1 = V2 -V1

V2 – V1 = 2.396

0.2V1 + 0.5V2 = 0.4792

V1 = -1.027 m/s  ;     V2 = 1.369 m/s

i.e.,

½ m1v12 = m g L (1-Cos θ2)         ---- Energy Conversion

V12 = 9.8 * 2 * 1 (1- Cos θ2)

1.055 = 19.6 (1 - Cos θ2)

Cos θ2 = 0.9462

θ2 = 18.88 °

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“Most of the aunt’s remarks seemed to begin with ‘Don’t,’ and nearly all of the children’s remarks began with ‘Why?’ The bachelor said nothing out loud. ‘Don’t, Cyril, don’t,’ exclaimed the aunt, as the small boy began smacking the cushions of the seat, producing a cloud of dust at each blow.”

This statement is the correct answer for it.

It is taken from The story-teller, written by Saki.

Situational irony is the irony of something happening that is very different to what was expected.

Irony involves a situation in which actions have an effect that is opposite from what was intended, so that the outcome is contrary to what was expected.

Situational irony involves the result of a situation not matching with your expectations, such as a baker being allergic to flour.

Situational irony allows writers to show the characters' intentions versus the outcomes, appearance versus reality.

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The highest to which the first projectile rises will be equal to 51.25 m and the second projectile is 76.29 m.

A projectile can be defined as an object that will be thrown obliquely near the surface, it follows along a curved path with constant acceleration.

In a Projectile Motion, along the y-axis, there is a constant acceleration, responsible for the vertical motion of the particle while along the x-axis plotted is uniform velocity, responsible for the horizontal motion.

The maximum height of the first projectile is given by:

[tex]\displaystyle Y_1 = \frac{u^2sin^2\theta}{2g}[/tex]

The maximum height of the second projectile is given by:

[tex]\displaystyle Y_2 = \frac{u^2sin^2(90-\theta)}{2g}[/tex]

[tex]\displaystyle Y_2 = \frac{u^2cos^2\theta}{2g}[/tex]

[tex]\displaystyle Y_2 -Y_1 = \frac{u^2(cos^2-sin^2\theta)}{2g}[/tex]

[tex]\displaystyle Y_2 -Y_1= \frac{u^2cos2\theta}{2g}[/tex]

Given, height difference  Y₂ - Y₁ = 25 m, initial velocity, u = 50m/s

[tex]\displaystyle 25 = \frac{(50)^2cos2\theta}{2\times 9.8}[/tex]

cos 2θ = 0.196

θ = 39.34°

[tex]\displaystyle Y_1 = \frac{(50)^2sin^2 (39.34)}{2\times 9.8}[/tex]

Y₁ = 51.25 m

[tex]\displaystyle Y_2 = \frac{(50)^2sin^2 (50.66)}{2\times 9.8}[/tex]

Y₂ = 76.29 m

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The specific heat capacity of the metal, cm is 214.87 J/kg-k.

As per the given data,

we need to find  the specific heat capacity of the metal, cm.

According to the above question,

it is given that,

Weight of  chunk of an unknown metal is 1.00kg

chunk has been in boiling water for several minutes and it is quickly dropped into an insulating Styrofoam beaker containing 1.00kg of water at 18.0°C.

After stirring for 5.00 minutes, the water's temperature has reached a constant value of 22.0°C .

The water specific heat capacity  is cw = 4190J/(kg)  

Now,

temperature of metal is 100 degree celsius ( water boils at 100 degree celsius )

equilibrium temperature = 22 degree celsius

specific heat capacity of water Cw= 4190 J/kg-K

According to question, specific heat capacity of metal be Cm

Therefore,

mass of metal that is Mm = 1 kg

mass of water that is Mw = 1 kg

we know that,

heat energy lost by metal is equal to  heat energy gained by water

(assuming no heat is lost to the surroundings)

heat energy lost by metal = Mm * Cm * (100 - 22)

heat energy lost by water = Mw * Cw * (22 - 18 ) (given - initial temperature of water = 18 degree celsius)

therefore,

Mw * Cw * (22 - 18 ) = Mm * Cm * (100 - 22)

4190 * 4 = Cm * 78

Cm = 214.87 J/kg-k

Hence, the specific heat capacity of the metal, cm is 214.87 J/kg-k.

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Complete Question:

A 1.00kg chunk of an unknown metal that has been in boiling water for several minutes is quickly dropped into an insulating Styrofoam beaker containing 1.00kg of water at 18.0°C. After gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0°C . The specific heat capacity of water is cw = 4190J/(kg-K) . Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal cm. Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal, cm?

The least possible order of accuracy for the second derivatives is 2.

What are derivatives?

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The statement is false. Acceleration is the rate at which velocity changes over time, both in terms of speed and direction.

A point or object travelling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is always changing. The rate of change of displacement is defined as velocity. The rate of change of velocity is defined as acceleration. Because it includes both magnitude and direction, velocity is a vector quantity. Because it is simply the rate of change of velocity, acceleration is likewise a vector quantity. Acceleration is the change in speed or direction of an object. The rate at which velocity varies is defined as acceleration. Keep in mind that velocity has two components: speed and direction.

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The  voltage needed is 55 Volt.

The rate at which energy is converted into an electrical circuit or used to produce work is known as electric power. It is a way to quantify how much energy is consumed over a certain period of time.

Given that: the microwaves operate using 1100 W of electrical power and the current in the outlet is 20 A,

Let, voltage needed is V.

We know that: electric power = voltage*current

Hence, Electric voltage  = power / currect

= 1100 W/20 A

= 55 Volt.

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The amount of power required for the firefighter to run up the stairs in 60s is 28.66 watts

Power is described as the amount of energy transferred or converted per unit time.

parameters given ate

mass= 80kg

distance = 60seconds

We need to calculate the distance over which the force is applied. In this case, the firefighter is running up a 21.5m flight of stairs, so the distance is 21.5m.

Then, we calculate the amount of work required, we use the formula

Work done = Force* distance

Work done =  80kg * 21.5m = 1720 Newton

Therefore power = work done/ time

= 1720/ 60

Power = 28.66 watts

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It was created with the aid of ground-breaking research into the ways in which sound travels across water and was intended to keep an eye on the Soviet Union's expanding submarine menace.

What makes sonar so crucial?

To "see" in the water, sonar uses sound waves.

Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor.

Leonardo da Vinci utilised a tube introduced into the water to listen for vessels in order to employ the technology for the first time, in 1490. To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.

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An ammeter is a device used to measure electric current in amperes, either in direct current (DC) or alternating current (AC).

Ammeters measure current in what ways?

A shunt resistor is used in digital ammeter systems to create a calibrated voltage proportionate to the current flowing. The analog-to-digital converter (ADC) in a digital voltmeter is then used to measure this voltage; the digital display is calibrated to show the current flowing through the shunt.

What three purposes does an ammeter serve?

1. It is utilise to gauge circuit current.

2. It is utilised in circuits to determine whether or not they are functioning properly.

3. It is also used in the electronic industry to examine the circuit and usage of the appliances.

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The degree of freedom in the equation is denoted by the number 58: t(58)=2.001, p.05.

The degree of freedom refers to how many logically independent value i.e., values with the freedom to change there are in the sample of data. One is deducted from the total number of elements in the data sample when calculating degrees of freedom.

Degrees of freedom can be calculated using a simple statistical technique. Degrees of freedom are equal to the number of values in a data collection less one, as stated by the formula: df = N-1.

N is the total number of values included in this data collection (sample size).

The degrees of freedom, or the quantity of unrestricted data points available for comparison in a t-test The number 58 in the t-test above indicates the degrees of freedom, or the number of unrestricted data points available in a t-test to compare two groups.

(In statistics, a T-test is used to compare the means of two groups. The values required for a t test are the t-value, p-value, and degrees of freedom.)

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1. The equation of trajectory is: y = 5x²/4 +2x; it is equation of parabola.

2. The  position vector = 2ti + (5t² +4t) j

3. The position of point M at t = 3 s is: ( 6,57).

4. The magnitude of velocity of point M at any time t is 2√(25t²+20t+5).

5. The magnitude of acceleration is 10m/s².

The term velocity has been defined as the rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is known as a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

Coordinates at any instant t are:

x = 2t; y = 5t² +4t

1. equation of trajectory is:

y = 5x²/4 +2x; it is equation of parabola.

2. position vector = 2ti + (5t² +4t) j

3.  the position of point M at t = 3 s is: x = 2×3 = 6; y = 5×3² +4×3 = 57; i.e., ( 6,57)

4.  the velocity vector of point M at any time t is = 2i + ( 10t +4) j

magnitude of velocity = √( 2² + (10t +4)² = 2√(25t²+20t+5).

5.  the acceleration vector is = 10j m/s²

Therefore, its magnitude is =10m/s².

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Synthetic fibers, ceramics, polymers, artificial foods and pharmaceuticals, and composites are all examples of synthetic materials. Synthetic fibers are elastic.

They can be used to produce garments as well as other items. Synthetic fibers include rayon, polyester, and nylon. Synthetic fibers (man-made fibers) are created by combining chemical monomers to form polymers through a chemical reaction known as polymerisation. Sodium hydroxide and carbon disulphide are commonly used compounds (derivatives of coal, oil, or natural gas). Synthetic materials, on the other hand, are man-made and cannot be found in nature. Synthetic items are typically generated in laboratories by combining various chemicals or by preparing molecules and substances in a laboratory.

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The net force acting on the bicyclist along with its own weight is 687 N. The magnitude of acceleration for this force is 10.56 m/s².

Force is a physical quantity characterised by its magnitude and direction. Force deform an object or changes its state of rest or motion. Force of a moving body  is the product its mass and acceleration.

The normal force acting on an object by ts weight = mg

thus normal force on 65 kg bicyclist = 65 Kg × 9.8 m/s² = 637 N.

The dragging force acting on him = 50 N.

The resultant force = 637 N + 50 N = 687 N

Force = m a

acceleration  = force/ mass

 = 687 N/ 65 Kg

 = 10.56 m/s².

Therefore, the net force on the bicyclist is 687 N with an acceleration of 10.56 m/s².

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Scrum teams typically use brief iterations to get fast feedback from a variety of customers at a particular time.

This time-boxed iteration is referred to in Scrum as a Sprint, and it typically lasts one week. A timeboxed iteration is a time-restricted period during which the team concentrates on a single objective and creates a new piece of software. This is a sprint in the Scrum methodology where the team works toward the sprint goal specified in the sprint planning. A timebox is a set amount of time during which a person or a team works to achieve a common objective. Timeboxing is a tool used in agile project management to keep work moving quickly and on schedule. It is also an important part of Scrum.

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The four types of reinforcement include- positive reinforcement, negative reinforcement, punishment, extinction.

Positive reinforcement: Positive reinforcement is especially effective at establishing new behaviors, but it may not work as well in the long term if the subject becomes bored with the reward over time.  This involves adding something to increase response, such as praising a child when they complete a designated task.

Negative reinforcement: Namely, negative in this theory means removing or subtracting something that either discourages negative behavior (punishment) or removes adverse stimuli to support or encourage certain behavior (reinforcement).  This involves removing something to increase response, such as withholding payment until the person completes the job. The person would remain motivated till the end of the job to acquire the payment.

Punishment:  Punishment is often mistakenly confused with negative reinforcement. Remember, reinforcement always increases the chances that a behavior will occur and punishment always decreases the chances that a behavior will occur. This involves adding something aversive to modify behavior. For example, yelling at a child for misbehaving. In this example, the child would associate every negative behavior with punishments. This would prevent the child from repeating such behavior.

Extinction: This involves removing or taking away something to modify a certain response. This is called negative punishment or extinction. For instance, a teenager comes home late, and the parents curb their phone usage. Next time, the teenager would think before breaking the curfew.

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Reinforcement can be positive, meaning that a desirable consequence is provided, or negative, meaning that an undesirable consequence is removed

Reinforcement in psychology is an important tool for motivating behavior. It works by providing a consequence after a behavior occurs that makes it more likely to happen again in similar situations. Positive reinforcement is providing a desirable consequence, such as praise or a reward, after a behavior. Negative reinforcement is the removal of an undesirable consequence, such as a punishment, after a behavior. Reinforcement can be used to shape and strengthen desirable behaviors, as well as decrease undesirable behaviors. It is an effective way of motivating people and can be used in a variety of different contexts.

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To solve a line cut by a transversal, use the properties of parallel lines, such as corresponding angles and alternate interior angles, to find the unknown angle measurements.

When a line is cut by a transversal, a number of simultaneous equations can be formed by using the properties of parallel lines. For example, the corresponding angles of the lines will always be equal, the alternate interior angles will be equal, and the consecutive interior angles will add up to 180 degrees. Using these properties, you can identify the unknown angle measurements. For example, if the measure of one of the corresponding angles is known, the measure of the other corresponding angle can be determined simply by using the fact that they are equal. Similarly, if one of the alternate interior angles is known, the other can be determined using the fact that they are equal. By forming these equations, you can solve for the unknown angle measurements.

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The resultant of the three forces that must be carried by the gusset plate is 22.14k

The resultant itself means total or amount. So, it can be said that the resultant force is the total or overall force acting on a system. The resultant force is a vector quantity.

F₁

sin 30° = x₁/10k

x₁ = 10 × sin 30° × k

x₁ = 5k

Similarly:

y₁ = 10k × cos30°

y₁ = 10k × 0.866

y₁ = 8.66k

F₂

The angle at F₂ is 0 degrees θ = 0°

So:

x₂ = -12k

y₂ = 0

F₃

cos 45° = x₃/18k

x₃ = 18 × cos 45° × k

x₃ = 12.728 k

Similarly:

y₃ = 18k × sin 45°

y₃ = 18k × 0.707

y₃ = 12.728 k

Resultant of x:

x = x₁ - x₂ + x₃

x = 5k -12 k + 12.728 k

x = 5.726 k

Resultant of y:

y = y₁ - y₂ + y₃

y = 8.66k - 0k + 12.728 k

y = 21.388k

Resultant F:

F = [tex]\sqrt{x^2 + y^2}[/tex]

F = [tex]\sqrt{ 5.726^2 + 21.388^2 }[/tex]

F = [tex]\sqrt{ 32.787+ 457.446 }[/tex]

F = [tex]\sqrt{ 490.233 }[/tex]

F = 22.14k

So, the resultant of the three forces is 22.14k

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The example of each of the energy electrical to heat, chemical to heat,  electrical to mechanical energy is as given below.

a.) Every electric heater has a resistor as its heating element. Electric heating is the conversion of electrical energy to thermal energy. It converts electrical energy into heat energy when an electric current crosses a resistor, according to the Joule heating principle.

b.) Exothermic reactions, which commonly release chemical energy in the form of heat, are those that take place. Newly formed bonds can store some of the heat energy required for a reaction to proceed as chemical energy.

c.) An electric motor converts electrical energy into mechanical energy. A generator converts mechanical energy into electrical energy. A storage dam's mechanical energy is transformed into electrical energy via a hydroelectric powerplant.

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Answer:

5/32 or 0.16 m/s

Explanation:

m1u1 + m2u2 = m1v1 + m2v2

(64x0) + (0.2 x 0) = (64 x v1) + (0.2 x 50)

v = (0.2 x 50) / 64

v = 5/32 or 0.16 m/s

(ignore negative sign as it means that the boat is moving the opposite direction of ball, that's why the answer was coming negative)

I hope my answer helps you.

Answer:

The velocity of the bullet and the sack after the bullet hits the sack is [0.2,0.2] m/s.

Explanation:

To calculate the velocity of the bullet and the sack after the bullet hits the sack, we can use the equation:

vf = (m1 * v1 + m2 * v2) / (m1 + m2)

Plugging in the values given in the question, we get:

vf = (0.01 kg * [230,0] m/s + 9.99 kg * [0,0.2] m/s) / (0.01 kg + 9.99 kg)

Solving for vf, we get:

vf = [0.2, 0.2] m/s

Therefore, the velocity of the bullet and the sack after the bullet hits the sack is [0.2,0.2] m/s.

The initial and final momentum of a body will be conserved during collision. From this concept, the final velocity of the bullet and sack is 2.5 m/s.

Momentum is the product of mass and velocity of a body.  During a collision of two bodies, the sum of initial momentum of the two bodies will be equal to the sum of their final momentum.

Given that, mass of bullet = 0.01 Kg

velocity = 2300 m/s

mass of sand sack = 9.99 Kg

velocity = 0.2 m/s

Then sum of initial momentum = (0.01 kg × 2300 m/s) + (9.99 kg × 0.2 m/s) = 24.9 kg m/s.

The final momentum of the combined mass  = (9.99 kg + 0.01 kg) v = 24.9 Kg m/s

Thus, final velocity v = 24.9 / ( (9.99 kg + 0.01 kg) = 2.5 m/s

Therefore, the velocity of the bullet and sack after the collision will be 2.5 m/s.

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If f has a discontinuity due to a vertical asymptote at x=a, then the function has a vertical asymptote at x=a.

A vertical asymptote occurs when the function approaches infinity as x approaches a certain value from either direction. This means that the function becomes arbitrarily large as x approaches the value of the vertical asymptote, but it never actually reaches the asymptote itself.

To determine the value of x at which f has a discontinuity due to a vertical asymptote, you need to find the value of x at which the function approaches infinity. This can often be done by examining the function and looking for expressions of the form 1/0 or 0/0, which indicate that the function is becoming infinitely large as x approaches a certain value.

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Solar radiation is labelled as C in the diagram of global atmospheric circulation.

Winds are created by global atmospheric circulation, which results to areas of significant rainfall, such as tropical rainforests, and areas of dry air, such as deserts.

The global atmospheric circulation model is a simplified representation of the movement of air currents in the atmosphere. It is employed to aid in the explanation of weather patterns and climatic zones. Cells serve as the foundation of the global atmospheric circulation model. These cells are areas where air travels from low to high pressure.

Even though weather fronts and storms cause interruptions, there is a continuous pattern to how air travels about our planet's atmosphere. Because the Sun heats the Earth more at the equator than at the poles, this pattern is known as atmospheric circulation. It is also influenced by earth rotatory.

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In a series circuit there are 17 light bulbs, each providing 1 ohm of resistance , the total resistance is 17 ohms.

In a series circuit, the total resistance is equal to the sum of the resistances of all the components in the circuit. In this case, there are 17 light bulbs, each providing 1 ohm of resistance, so the total resistance of the circuit is 17 ohms.

This can be calculated using the equation:

Total Resistance = R1 + R2 + R3 + ... + Rn

where R1, R2, R3, etc. are the resistances of the individual components in the circuit.

In this case, the total resistance would be:

Total Resistance = 1 ohm + 1 ohm + 1 ohm + ... + 1 ohm

This simplifies to:

Total Resistance = 17 ohms

So the total resistance of the circuit is 17 ohms.

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a) The tension in the stick when the ball is at twelve o'clock is 6N.

b) And at the six o'clock position is also 16N.

To determine the tension in the stick when the ball is at the three o'clock, twelve o'clock, and six o'clock positions, we can use the equation:

T = m × v² / r

where T is the tension in the stick, m is the mass of the ball, v is the speed of the ball, and r is the radius of the circle.

In this case, the mass of the ball is 0.22 kg, the speed of the ball is constant, and the radius of the circle is the same at all positions. Therefore, the tension in the stick will be the same at all positions.

Plugging the values for the mass and radius of the circle into the equation gives us the following:

T = 0.22 kg × v² / r = 16 N

Therefore, the tension in the stick when the ball is at the three o'clock, twelve o'clock, and six o'clock positions is 16 N.

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Answer:

b

Explanation:

warming your hands over a campfire is not a example of it conduction because in heat conduction the body which transverse heat into the other bodies should be connected physically in the case of farming our hands over campfire there is no solid connectors our hands are being heated due to the radiation from the camp fire

The area is 4 times 1.496 times 10 to 11 meters squared, and when we divide this by the total amount of neutrinos created during the proton-proton cycle each second, we obtain 6 times 10 to 14 neutrinos per square meter every second on Earth.

Neutrinos carry away around 3% of the energy produced by nuclear fusion in the Sun. Scientists estimate about 35 million billion (3.5 1016) solar neutrinos pass through each square meter of the Earth's surface per second as a result of protons reacting and creating neutrinos inside the Sun's core.

Your thumbnail receives about 100 billion solar neutrinos each second. Nuclear fusion occurs in the sun, where it results in the creation of neutrinos.

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To find the length of the wave if its speed is 54 km/h, we can use the formula:

Wavelength = Speed / Frequency

where the frequency of the wave is equal to the inverse of the oscillation period. The oscillation period of the wave is 0.5 minutes, so the frequency is 1 / (0.5 minutes) = 2 oscillations/minute.

We can now plug these values into the formula to find the wavelength:

Wavelength = 54 km/h / (2 oscillations/minute)

= 27 km

Therefore, the length of the wave is 27 km

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An ideal gas equation to calculate the pressure of a gas is PV=nRT where P is pressure, V is volume, n is number of mole,R is gas constant and T is temperature.

In thermodynamics, Ideal gas equation is a clear cut guess of the way of behaving of many gases under different circumstances. Ideal Gas Condition is the blend of experimental regulations like Charle's regulation, Boyle's regulation, Gay-Lussac's regulation, and Avogadro's regulation. Ideal Gas equation is the equation characterizing the conditions of the speculative gases communicated numerically by the blends of observational and actual constants. It is likewise called the general gas condition. It very well may be characterized as:

Ideal Gas equation is the equation characterizing the equations of the speculative gases communicated numerically by the blends of exact and actual constants. It is additionally called the general gas equation. It tends to be characterized as PV=nRT.

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