Heat is transferred from the sun-warmed surface of earth to the cooler overlying troposphere via _______

Answers

Answer 1

Heat is transferred from the sun-warmed surface of the earth to the cooler overlying troposphere via conduction.

Heat transfer from earth to atmosphere:

Conduction, convection, latent heating, and water phase transitions all help to carry heat from the Earth's surface, which has been warmed by the Sun, to the cooler troposphere above.

Latent heat flux is the worldwide transfer of latent heat energy via water and air currents. Here, we demonstrate how air circulation transports latent heat energy horizontally to cooler regions, where it condenses into rain or is deposited as snow, releasing the heat energy that was previously trapped there.

When air is heated from below by sunshine or by coming into contact with a warmer land or sea surface, convection occurs and the air below becomes less dense than the air above.

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Related Questions

Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures.

Answers

The change in heat q for the aluminum cup is 141 J.  

What is Specific heat?

A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.

change in heat -

The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.

The answer's sign dig is determined by a calculation's lowest sign digits.

The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).

31.91 g   * 0.903 J/g-C  *  (26.1 - 21.2 C) = 141 J

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Transformers: an ideal step-up transformer doubles a primary voltage of 110 v. what is the ratio of the number of turns in its primary coil to the number of turns in the secondary coil?

Answers

The ratio of the number of turns in the primary and the secondary coil of a step-up transformer is 1 : 200.

The formula for calculating the secondary voltage in a transformer is: N = V = Where No and N are the primary and secondary coils' respective turn counts; V and V are the RMS voltages across the primary and secondary coils, and I and Is are the primary and secondary currents.

Calculation: Due to this:

The coil's N2 to Ns turn ratio is 1/20.

We understand that N=1/20 = 4/LP: Is = 20:1.

The transformer uses the following principles: A wire's magnetic field moves as a result of a changing current flowing through it. A wire exposed to a moving magnetic field will create a changing current.One of the coils produces a magnetic field that grows and contracts in response to the changing voltage of the AC when an AC source is connected to it.

In other words, the coil generates a growing magnetic field as the voltage across it rises. The magnetic field generated around the capacitor increases when the voltage reaches its maximum and starts to decline.

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A tank with a flat bottom is filled with water to a height of 7.5 meters. What's the pressure at any point at the bottom of the tank? (Ignore atmospheric pressure in your calculations.)

Answers

Answer:p=75 kPaExplanation:

_______________

h=7,5 m

g=10 m/s²

ρ=1000 kg/m³

_______________

p - ?

_______________

p=ρgh=1000 kg/m³ · 10 m/s² · 7,5 m = 75000 Pa = 75 kPa

A river is flowing south at a constant speed of 1.20 m/s. The river is 45 meters wide.

Alice swims in the direction perpendicular to the river.

In order to target the spot 90 meters south of the starting point on the bank of the other side, what should be Alice’s speed relative to the water?

Answers

Alice's speed relative to the water should be 0.6 m/s in order to target the spot 90 meters south of the starting point on the bank of the other side.

What is relative velocity?

Relative velocity refers to the velocity of an object with respect to another observer.

Velocity is speed in a given direction and is a vector quantity.

Velocity = displacement/time

There is relative velocity between Alice and the water.

Let Alice's velocity relative to the river be x

Time it will take her to cross the river = 45/x

The displacement of the river in that time is given below as;

Displacement = velocity * time

Velocity of river = 1.20 m/s

time, t = 45/x

d = 90 m

90 = 1.2 * 45/x

90x = 54

x = 54/90

x = 0.6 m/s

Therefore, Alice's speed relative to the water should be 0.6 m/s.

In conclusion, relative velocity is the velocity of one object from the reference point of another object.

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Newton's Third Law of Motion relates to action and reaction. Which of the following scenarios accurately names the correct action and reaction pair to apply to Newton's Third Law?

Answers

Newton’s Third Law of Motion states that for every action there is an equal and opposite reaction. So look for a scenario in which something had force applied upon it and the reaction is a force in the opposite direction of the same size.

If fuel consumption is 80 pounds per hour and groundspeed is 180 knots, how much fuel is required for an airplane to travel 477 nm?

Answers

Answer:

212 pounds

Explanation:

477 nm / 180 nm/hr     *   80 #/hr = 212 #

the cullinan diamond weighs 621.35g and is estimated to have a value for 400 million. how many dollars per ounce do this equal

Answers

The value is equal to 18.26*10^6 dollars/ounces.  

To find the answer, we have to know about the Cullinan diamond.

What is Cullinan diamond?The Cullinan Diamond, weighing 3,106.75 carats (621.35 g) (21.9 ounces), (1.37 pounds), was found at the Premier No.2 mine in Cullinan, South Africa, on January 26, 1905. It is the largest gem-quality rough diamond ever found.We have to find the dollars per ounce do this diamond equal,It is given that the diamond weighs 621.35g and is estimated to have a value for 400 million dollars. 621.35g means 21.9 ounces. Thus, for 1 ounce,

                     [tex]21.9 Ounce= 621.35g=400*10^6 dollars\\\\value=\frac{400}{21.9} *10^6dollars/ounce=18.26*10^6dollars/ounce[/tex]

Thus, we can conclude that, the value is equal to 18.26*10^6dollars/ounces.                  

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→e pointing up and the magnetic field →b pointing west. what is the direction of wave propagation?

Answers

When the magnetic field is heading west and the electric field is pointing up, the wave propagation will be in the north.

How do we find out the direction of wave propagation?

Electromagnetic waves (EM-waves), as we are aware, are transverse. Electric and magnetic fields are both perpendicular to one another in EM waves (E⊥B).

Transverse waves are waves in which the propagation direction is opposite the direction of amplitude. for instance, gravitational waves, light waves, and water waves.

In this instance, the magnetic field is heading west while the electric current is pointing up towards the screen's layout.

∴ E x B = κ

where E= the direction of the electric field,

B = the direction of the magnetic field,

κ = at a particular point, the direction of propagation

The aforementioned equation is right-handed. When we put our finger towards ourselves (away from the screen) and curl it to the west, and the thumb will indicate the wave propagation direction ( north side ).

The propagation of waves in our instance is in the north direction.

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How much heat in joules will it take to raise the temperature of a 100. 0 g piece of copper from 18°c to 35°c? the specific heat capacity of copper is 0. 385 j ⁄ g · °c

Answers

The amount of heat generated is 654.5 joules.

q=mCΔT

Given,

m=100, C=0.385  j ⁄ g · °c,  [tex]T_{1} =18^{0}C , T_{2} =35^{0} C[/tex],

q=100*0.385*(35-18)= 654.5 j

Heat

Heat is defined as energy that is transferred to or from a thermodynamic system by means other than thermodynamic work or the movement of matter (e.g. conduction, radiation, and friction). Similar to thermodynamic work, heat transfer affects a system's surrounds in addition to the system itself; as a result, it is not a characteristic of the system alone, even while it helps to change the internal energy of the system, which is a property of the system alone. This differs from the common linguistic usage of the word "heat" as a system feature in and of itself. The quantity of energy that is transported as heat in a process is the amount of energy that has been transferred minus any thermodynamic work that has been done and any energy that has been contained in the substance being moved.

How much heat in joules will it take to raise the temperature of a 100. 0 g piece of copper from 18°c to 35°c? the specific heat capacity of copper is 0. 385 j ⁄ g · °c

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What is the speed of a transverse wave in a rope of length 3. 1 m and mass 86 g under a tension of 380 n?

Answers

117 m/sec is the speed of a transverse wave in a rope of length 3. 1 m and mass 86 g under a tension of 380 n.

The wave speed v is given by

v= √τ/μ

​where τ is the tension in the rope and μ is the linear mass density of the rope.

The linear mass density is the mass per unit length of rope :

μ= m / L = (0.086 kg)/(3.1 m)=0.0277 kg/m.

v= [tex]\sqrt{ \frac{380 N}{0.0277 kg/m}}[/tex]  = 117.125 m/sec (approx. 117 m/sec

In physics, a transverse wave is a wave whose oscillations are perpendicular to the direction of the wave's advance. This is in contrast to a longitudinal wave which travels in the direction of its oscillations. Water waves are an example of transverse wave.

Transverse waves commonly occur in elastic solids due to the shear stress generated; the oscillations in this case are the displacement of the solid particles away from their relaxed position, in directions perpendicular to the propagation of the wave. These displacements correspond to a local shear deformation of the material. Hence a transverse wave of this nature is called a shear wave. Since fluids cannot resist shear forces while at rest, propagation of transverse waves inside the bulk of fluids is not possible.

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On a frictionless, horizontal air track. the glider has a head-on collision with a 0. 300-kg glider that is moving to the left with a speed of 2. 20 m>s. Find the final velocity?

Answers

The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

Given data,

Mass of glider A (M[tex]_{1}[/tex]) = 0.15 kg

Mass of glider B (M[tex]_{2}[/tex]) = 0.3 kg

Initial velocity of A (u[tex]_{1}[/tex]) = 0.80ms-1

Initial velocity of B ( u[tex]_{2}[/tex]) = -2.2m/s

Momentum and kinetic energy are conserved in elastic collision . So,

M[tex]_{1}[/tex]u[tex]_{1}[/tex]+M[tex]_{2}[/tex]u[tex]_{2}[/tex] = M[tex]_{1}[/tex]v[tex]_{1}[/tex]+M[tex]_{2}[/tex]v[tex]_{2}[/tex]

0.15×0.8+0.3x(-2.2) = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]

-0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]

Again if,

u[tex]_{1}[/tex]+v[tex]_{1}[/tex] =u[tex]_{2}[/tex]+v[tex]_{2}[/tex]

0.8 +v[tex]_{1}[/tex] =-2.2+v[tex]_{2}[/tex]

v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3

Solving  for -0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex] and v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3 , we get

v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

Therefore,The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s

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0.7-kg of r-134a is expanded isentropically from 800 kpa and 50°c to 140 kpa. determine the total heat transfer and work production for this expansion.

Answers

There will be no heat transmission, and the system's work is 25.27 Kj.

The calculation for total heat transfer and work production:

Provided,

The mass of r-134a = 0.7 kg

Initial pressure of the system, P₁ = 800 kpa

Initial temperature of r-134a, T₁ = 50°C = 273+ 50 = 323 K

Final pressure of the system, P₂ = 140 kpa

From the superheated refrigerant r-134a

P₁ = 800 kpa & T₁ = 50°C

the internal energy, u₁ = 263.87 Kj/kg &

the entropy, s₁ = 0.9803 Kj/kg .K

There won't be any heat transmission because the process is isentropic.

So, Q = 0 KJ

Due to the isentropic nature of the operation, the ultimate entropy is determined by

s₂ = s₁ = 0.9803 Kj/kg .K

From the r-134a superheated refrigerant

at P₂ = 140 kpa & entropy s₂ = 0.9803 Kj/kg .K

the internal energy,u₂ = 227.77 K/kg

The work on the system is provided by

W = m x (u₂-u₁)

W = 0.7 x(227.77 - 263.87)

W = 0.7 x (-36.1)

W = -25.27 KJ

A negative number means the system is doing the task.

As a result, there won't be any heat transfer, and the system will only have used 25.27 KJ of energy.

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Question 1 of 28
Which sentence is generally true of red stars?
OA. They are the oldest stars.
OB. They are the hottest stars.
OC. They are the youngest stars.
D. They are the coldest stars.

Answers

Answer: D. They are the coldest stars.

Explanation:

how to find out the heat capacity of a material?​

Answers

[tex]\huge\underline{\underline{\boxed{\mathbb {EXPLANATION}}}}[/tex]

The heat capacity is given by the expression:

[tex]\longrightarrow \sf{\triangle Q= m \triangle C \triangle T}[/tex]

[tex]\longrightarrow \sf{Q= \: Heat}[/tex]

[tex]\longrightarrow \sf{M= \: Mass}[/tex]

[tex]\longrightarrow \sf{C= \: Specific \: Heat}[/tex]

[tex]\longrightarrow \sf{T= \: Temperature}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex] \leadsto[/tex] When the [tex] \bm{heat}[/tex] is measured in the calorimeter, we obtain a value, and since we know the mass of the material and we control the change in [tex] \bm{temperature}[/tex] , we can then determine the specific heat "C" by simply remplazing in the expression.

The heat capacity of a material is its ability to absorb heat energy. There are different methods to determine the heat capacity of a material, depending on the specific conditions and resources available. Here are some common approaches:

Differential Scanning Calorimetry (DSC): DSC is a technique used to measure heat flow into or out of a material as a function of temperature. By subjecting the material to controlled heating or cooling, the heat capacity can be determined from the measured heat flow data.Specific Heat Capacity Measurement: The specific heat capacity of a material is the amount of heat energy required to raise the temperature of a unit mass of the material by one degree Celsius (or Kelvin). This can be determined through calorimetry experiments, where the material is heated or cooled while its temperature changes and heat transfer amount are measured. The specific heat capacity can then be calculated using the equation: Q = mcΔT, where Q is the heat energy transferred, m is the mass of the material, c is the specific heat capacity, and ΔT is the temperature change.Tabulated Data: The heat capacity of some commonly used materials is available in reference books, handbooks, or online databases. These values are often given as average or estimated values based on previous measurements. By referencing such data, you can obtain an approximate heat capacity value for a specific material.Statistical Data: The heat capacity of some commonly used materials is available in reference books, handbooks, or online databases. These values are often given as averages or estimates based on previous measurements. By referencing such data, you can obtain an approximate heat capacity value for a specific material.

It's imperative to note that heat capacity can vary with temperature, pressure, and other factors. Therefore, measurements or data should ideally be conducted or referenced within the appropriate range of conditions relevant to the specific application or analysis.

What magnitude net force is required to accelerate a 1200-kg car uniformly from 0 m/s to 27.0 m/s in ?

Answers

Magnitude of Net force Required to accelerate a 1200kg car uniformly from 0m/s to 27m/s in 10s is 3240N.

Force can be found out using the relation of Force, mass and acceleration.

The relation of Force, mass and acceleration is as follows:

∴ Force = Mass × Acceleration

⇒ Force = 1200kg × Acceleration

Given:

Mass = 1200kg

Final Velocity = 27m/s

Initial Velocity = 0m/s

time = 10s

Now, to find out the acceleration we can use the first equation of motion:

∴ Final Velocity = Initial Velocity + Acceleration × time                

⇒ 27   = 0 + 10a                  

⇒ a = 2.7m/s²        

Putting acceleration in the above mentioned equation,  

∴ Force = 1200kg × Acceleration

⇒ Force = 1200kg × 2.7

⇒ Force = 3240N

Hence, the net force required to accelerate the car uniformly is 3240N.

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The answer is 3240 N.

Intial velocity [tex]$\mathrm{u}=0 \mathrm{~m} / \mathrm{s}$[/tex]

final velocity [tex]$\mathrm{v}=27 \mathrm{~m} / \mathrm{s}$[/tex]

time [tex]$t=10$[/tex] sec.

Newton's first equation of motion

[tex]$v=u+a t$[/tex], here a = acceleration

[tex]$\mathrm{so}_{0}=(v-u) / t$[/tex]

[tex]$a=(27.0-0) / 10$[/tex]

[tex]$a=2.7 \mathrm{~m} / \mathrm{sec}^{2}$[/tex]

Force [tex]$F=m a$[/tex]

Mass [tex]$\mathrm{m}=1200 \mathrm{~kg}$[/tex]

[tex]$F=1200 \times 2.7$[/tex]

[tex]$F=3240 N$[/tex]

What is acceleration?

Acceleration is the rate at which velocity varies 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.

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What is the function of a diaphragm in a camera?

It controls the speed of the shutter.
It focuses incoming light rays.
It controls the amount of light.
It directs the image to the viewfinder.

Answers

It controls the amount of lighting through it

Find the magnitude of this
vector:

Answers

Answer: = 25. 5 m

Explanation:

2-D vectors can be solved using the Pythagorean theorem:  [tex]a^{2} +b^{2} =c^{2}[/tex]The hypotenuse, or longest side is not given and that is what must be solved forDirection can be omitted as the question only asks for magnitudeMagnitude: is the distance or quantity in which an object moves during motion

Solve for C using Pythagorean theorem:

1. [tex]\sqrt{a^{2}+b^{2} }=c[/tex]

2.  [tex]\sqrt{22.2 m ^{2} +12.6m^{2} } =c[/tex]

3. [tex]25.52646 m= c[/tex]

round to lowest number of significant digits  when dividing and multiplyingrounded to 3 significant digits

Magnitude of the vector is 25.5 m

what is the definition of laws of conservation​

Answers

Answer:

conservation law, also called law of conservation, in physics, a principle that states that a certain physical property (i.e., a measurable quantity) does not change in the course of time within an isolated physical system.

Explanation:

The definition of a conservation law in physics asserts that a certain observable attribute of an isolated physical system doesn't change over time.

HELP PLS I WILL MARK U BRAINLIEST!!

Answers

Answer:

D

Explanation:

I would say much too small as there is a significant portion of the plant that is UNDER water.....

    (  Really depends on how deep the water is...if it is shallow water it would be just a little too small)

When charging a system with vapor refrigerant from a refrigerant cylinder the cylinder will become:_________

Answers

When charging a system with vapor refrigerant from a refrigerant cylinder the cylinder will become cold .

When refrigerant is added in the vapor state, the refrigerant cylinder will lose pressure as the vapor is pushed out of the cylinder.The volume of the refrigerant changes with the ambient air so the graduated cylinder must be calibrated before each use.

What is a refrigerant charging cylinder used for?

A cylinder used to transfer refrigerant from the transportation cylinder into the system during the charging process. It has several scales on the exterior that indicate various refrigerant charges.

What type of refrigerant can be added as a liquid or a vapor?

Blends like R410a or 404a must be added to a system as a liquid. Pure refrigerants like R22 can be added in liquid or vapor states.

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what kind of energy is stored when you squeeze a mattress

Answers

Answer:

elastic energy

Explanation:

hope it helps you

Due the pressure of squeezing and relasing it it’s elastic energy

What are the similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity)?

Answers

Similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity) is that Electric fields are produced by two kinds of charges, positive and negative similarly Magnetic fields are associated with two magnetic poles

Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.

Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.

Electric fields are produced by two kinds of charges, positive and negative. Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges).

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An electric dipole consists of a particle with a charge of 6 x 10–6 c at the origin and a particle with a charge of –6 x 10–6 c on the x axis at x = 3 x 10–3 m. its dipole moment is:______.

Answers

An electric dipole consists of a particle with a charge of 6 x 10⁻⁶ c at the origin and a particle with a charge of –6 x 10⁻⁶ c on the x axis at x = 3 x 10⁻³ m. Its dipole moment is 18 x 10⁻⁹ Cm

Dipole moment of a dipole is dependent on the charge of the dipole and the distance between the two charges.

Electric Dipole consists of two charges which are equal and opposite in charge i.e. positive and negative charges.

Given,

Dipole moment, p = ?

Charge, q = 6 x 10⁻⁶C

Distance between charges, d = 3 x 10⁻³ m

Dipole moment (p) is given by:

p = charge x distance between the two charges

p = 6 x 10⁻⁶ x 3 x 10⁻³ Cm

p = 18 x 10⁻⁹ Cm

The dipole moment for the given charge configuration is 18 x 10⁻⁹ Cm

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Four point charges, each of charge 2. 5 x 10-5 c, are located on the x- and y-axes, one at each of the locations (0, 2. 0 m), (0, -2. 0 m), (2. 0 m, 0), and (-2. 0 m, 0). the potential at the origin is__________.

Answers

The Potential at the origin due to the four point charges located at  (0, 2), (0, -2), (2 , 0), and (-2 , 0) will be - [tex]45\times10^{4}[/tex] volts.

We have four point charges, each of charge [tex]2.5\times10^{-5}[/tex] C, are located on the x - axis and y - axis, one at each of the locations (0, 2), (0, -2), (2 , 0), and (-2 , 0).

We have to calculate the potential at the origin O(0,0).

What is the formula to calculate the Electric potential at a point ' r ' meters away from a point charge ' q ' ?

The Electric field potential due to point charge ' q ' at a distance ' r ' meters apart is -

[tex]V(r) = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}[/tex]

Now, in the question given to us -

q = [tex]2.5\times10^{-5}[/tex]

Let us label the four points as - A (0, 2), B (0, -2), C (2 , 0), and D (-2 , 0).

Now, the potential due to charge located at point A will be -

[tex]V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = 9\times10^{9}\times\frac{2.5\times10^{-5} }{2} \\V_{A} = 11.25\times10^{4}[/tex]

Now, the distance of the center from each point will be same = 2 m.

Hence, the potential due to each charge at the origin will be -

[tex]V_{A} =V_{B} =V_{C} =V_{D} = 11.25\times10^{4}[/tex]

Since, the potential is a scalar quantity, we can add the potential due to each charge using simple addition -

[tex]V_{A} +V_{B} +V_{C} +V_{D} = 4\times11.25\times= 45\times10^{4}[/tex] Volts

Hence, the potential at the center will be - [tex]45\times10^{4}[/tex] volts.

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An fm radio station broadcasts at 98. 6 mhz. What is the wavelength of the radiowaves?.

Answers

The wavelength of radiowaves is 3.042 m.

What is radiowaves?

The electromagnetic spectrum's longest wavelengths, which are found in radio waves, are normally found at frequencies of 300 gigahertz and below.

Frequency given, f = 98.6 MHz = 98.6 x [tex]10^{6}[/tex] cycles/second

Electromagnetic waves including radiowaves also travel at the speed of light.

Therefore, c = 3.0 x [tex]10^{8}[/tex] m/sec

Wavelength = speed/frequency

wavelength of 98.6 MHz = 3.0 x [tex]10^{8}[/tex]/98.6 x [tex]10^{6}[/tex] meters

=3.042 meters

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A vector of magnitude 20 is added to a vector of magnitude 25. the magnitude of this sum can be?

Answers

The sum of vectors lie between 5 - 45

We all know that Vector is a quantity of Magnitude and Direction.

Couple of examples of Vector quantity are Acceleration, Displacement, Force, Momentum, Velocity

Let's solve the problem:

I A I is given as 20

I B I is given as 25

The sum of vectors lie between their maximum and minimum

Hence,

MIn < Sum of Vectors < Max

I A-B I < Sum of Vectors < I A + B I

I 20 - 25 I < Sum of Vectors < I A + B I

5 < Sum of Vectors < 45

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What angle (in degrees) is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value?

Answers

The 60 degrees is needed between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is given that axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

It is required to find the angle between the direction of polarized light and the axis of a polarizing filter to cut its intensity to one-fifth of its initial value.

What is the  angle between the direction of polarized light and the axis of a polarizing filter?

Suppose the angle between the polarizer and the axis of filter is θ.

The intensity of light that is passing after the filter is 0.2 l₀.

From the law of Malus, we have

I = I₀ [tex]cos^{2}[/tex]θ

0.2I₀= I₀ [tex]cos^{2}[/tex]θ

0.2 =  [tex]cos^{2}[/tex]θ

[tex]cos\\[/tex]θ = 0.447

θ = 60°

Thus the angle between the direction of polarized light and the axis of a polarizing filter is 60 degree.

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An extraterrestrial astronomer surveying our solar system with the doppler method could discover the existence of jupiter with just a few days of observation. True or false?.

Answers

False; finding it would require much more than a few days of observation.

What is the Doppler method?

The Doppler approach is a reliable way to find exoplanets. It examines the velocity and characteristics of the star and planet using the Doppler effect. The star and the planet both revolve around the same mass.

What is measured by the Doppler technique?

The periodic velocity change of the stellar spectrum brought on by an orbiting massive planet is discovered using Doppler spectroscopy.

How does the Doppler technique function?

Doppler spectroscopy tracks changes in the host star's light's hue to find periodic shifts in radial velocity. A star's spectrum is redshifted when it moves away from us and blueshifted when it moves toward us.

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A solid sphere of radius r rotates about a diameter with an angular speed w. the sphere then collapses under the action of internal forces to a final radius r/2. what is the final angular speed of the sphere

Answers

The final angular speed of the sphere is 4ω.

Calculation:

Angular momentum will remain conserved.

What is conservation of angular momentum?

A spinning system's ability to conserve angular momentum ensures that its spin will not change until it is subjected to an external torque; in other words, the rotation's speed will not change as long as the net torque is zero.

Angular momentum is given by,

L = Iω

where,

L = angular momentum

I = moment of inertia

ω = angular speed

The moment of inertia of a solid sphere is,

I = [tex]\frac{2}{5} MR^{2}[/tex]

For the question,

L₁ = L₂

I₁ω₁ = I₂ω₂

Given,

R₁ = R

R₂ = R/2

ω₁ = ω

To find,

ω₂ =?

Substituting the values in the equation,

I₁ω₁ = I₂ω₂

[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂

R²ω = (R²/4)ω₂

ω = (1/4)ω₂

ω₂ = 4ω

Hence, the final angular speed of the sphere is 4ω.

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is the final angular speed of the sphere.

When a solid sphere of radius r rotates about a diameter with an angular speed w, the sphere then collapses under the action of internal forces to a final radius r/2, is the final angular speed of the sphere.

Angular momentum will remain conserved.

Angular momentum is given by,

L = Iω

where,

L = angular momentum

I = moment of inertia

ω = angular speed

The moment of inertia of a solid sphere is,

I = [tex]\frac{2}{5}[/tex][tex]MR^{2}[/tex]

For the given problem,

L₁ = L₂

I₁ω₁ = I₂ω₂

We are given,

R₁ = R

R₂ = R/2

ω₁ = ω

To find,

ω₂ =?

On substitution of the values in the equation,

I₁ω₁ = I₂ω₂

[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂

R²ω = (R²/4)ω₂

ω = (1/4)ω₂

ω₂ = 4ω

Hence, we can conclude that the final angular speed of the sphere is .

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A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. What strength of magnetic field will it have at its center?

Answers

A solenoid with 500 turns is 0. 10 m long and carries a current of 4. 0. The strength of magnetic field at its center will be 2.5 * [tex]10^{-2}[/tex] H

Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts.

A coil of wire which is designed to generate a strong magnetic field within the coil is called a solenoid. Wrapping the same wire many times around a cylinder creates a strong magnetic field when an electric current is passed through it. N denotes the number of turns the solenoid has.

Magnetic field at the center of the solenoid = mu0 * I * N / L

I = current in the solenoid

N = number of turns in the solenoid

L = length of the coil

B = 4π * [tex]10^{-7}[/tex] * 4 * 500 / 0.10

   = 251200 * [tex]10^{-7}[/tex] H

   = 2.5 * [tex]10^{-2}[/tex] H

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