does the spacing between fringes in a two-slit interference pattern increase, decrease, or stay the same if (a) the slit separation is increased, (b) the color of the light is switched from red to blue, and (c) the whole apparatus is submerged in cooking sherry? (d) if the slits are illuminated with white light, then at any side maximum, does the blue component or the red component peak closer to the central maximum?

Answers

Answer 1

Assuming if the slit separation is increased the spacing between fringes in a two-slit interference pattern will decrease.

What is a slit?

A slit is a small aperture or gap within a wall or other obstruction. It is used in the physic's double-slit experiment in which a light beam is directed at a wall that has two vertical slits in it. The pattern which resulted by the light passing through the slits is captured on a photographic plate or screen. A single line of light is seen when one slit is covered which means aligned with the open slit.

Other parts :Also when the color of the light is switched from red to blue the spacing between fringes in a two-slit interference pattern will decrease. Spacing between fringes in a two-slit interference pattern will decreases in water due to the decrease in the wavelength of light in water.

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Related Questions

can somebody help asap please

can somebody help asap please

Answers

The value of the resistance r is 20.25 ohms.

What is the value of the resistance r?

The value of the resistance r is calculated by applying Ohm's law as shown below.

Ohm's law states that the current flowing in a circuit is directly proportional to the voltage across the circuit.

V = IR

where;

V is the voltageR is the resistanceI is the current

P = IV

I = P / V

I = ( 32 W ) / ( 24 V + 12 V )

I = 0.889 A

R = V/I

R = ( 24 + 12 ) / ( 0.889 A )

R = 40.5 ohms

The value of each resistance, r is calculated as;

r = 40.5 ohms / 2

r = 20.25 ohms.

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I need help on problem 1. To find the work done on the gas in kj and finding how much energy is required for a piston to compress the gas back to its original volume with an efficiency of 32% Also in kj.

I need help on problem 1. To find the work done on the gas in kj and finding how much energy is required

Answers

Answer:

1) Workdone = -7.5 kJ

2) Energy = 23 kJ

Explanations:

The number of moles of the ideal gas, n = 3 moles

Temperature, T = 273K

Let the old volume be V₁

Let the new volume be V₂

The new volume is three times as large as the old volume

That is, V₂ = 3V₁

The gas constant, R = 8.314

1) The workdone in the gas

The workdone in expanding the gas is given by the formula:

\(W\text{ = -nRT ln(}\frac{V_2}{V_1})\)

Substitute the values for this parameters into the formula above:

\(\begin{gathered} W\text{ = -3}\times8.314\times273\times\text{ ln(}\frac{3V_1}{V_1}) \\ W\text{ = -3}\times8.314\times273\times\text{ ln 3} \\ W\text{ = -3}\times8.314\times273\times\text{ 1.0986} \\ W\text{ = }-7480.55J \\ W\text{ = }\frac{-7480.55}{1000}kJ \\ W\text{ = }-7.48\text{ kJ} \\ W\text{ = -7.5 kJ (to the nearest 1 decimal place)} \end{gathered}\)

2) The energy required for a piston to compress the gas back to its original volume with an efficiency of 32%

\(\text{Efficiency = }\frac{Work}{\text{Energy}}\times\text{ 100\%}\)\(\begin{gathered} 32\text{ = }\frac{-7.5}{\text{Energy}}\times100 \\ \frac{32}{100}=\text{ }\frac{-7.5}{\text{Energy}} \\ 0.32\text{ = }\frac{-7.5}{\text{Energy}} \\ \text{Energy = }\frac{-7.5}{0.32} \\ \text{Energy = -23.4 kJ} \end{gathered}\)

Since the piston is compressing the gas, a positive work is done on the system. Therefore, Energy = 23.4 kJ

Energy = 23 kJ (to the nearest whole number)

A figure skater is spinning slowly with arms outstretched. Shebrings her arms in close to her body and her moment of inertiadecreases by 1/2. Her angular speed increases by a factor of
A. 2
B. 1
C. 4
D. square root of 2
E. 1/2
In the same situation if she decreases her moment of inertiaby a factor of 2, how does her angular speed change?
A. Its reduced by a factor of 4
B. Its reducded by a factor of 2
C. It increases by a factor of 4
D. It increases by a factor of 2
E. It doesnt change
Is the relationship between angular speed and moment ofinertia inversely proportional, or does angular speed have todouble to compensate for any decrease in moment of inertia? I needhelp understanding the relationship between the two. I=2k/omegasquared, correct?

Answers

The angular speed increases by a factor of 2 and when she decreases her moment of inertia by a factor of 2 her angular speed change.

Angular momentum is a characteristic of rotating bodies determined by the product of their angular velocity and moment of inertia.

Angular momentum = Angular velocity x Moment of inertia

The angular momentum is calculated by

L = IW

Where,

I = Inertia momentum

W = angular velocity

It can be calculated by applying the law of conservation of angular momentum as given below:

= \(I_{i} W_{i} =I_{f} W_{f}\)

Where, i = initial, f = final

Since the final inertia momentum of figure skater gets decreased by 1/2 from the initial,

= \(\frac{1}{2}I_{i} = I_{f}\)

Therefore, the final angular speed would become

 \(I_{i} W_{i} = \frac{1}{2} I_{i} W_{f}\)

 \(2W_{i} = W_{f}\)

Hence, which means that angular speed increases by a factor 2.

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If a child pulls a sled through the snow with a force of 50 N exerted at an angle of 38° above
the horizontal, find the horizontal and vertical components of the force.

Answers

Answer: The horizontal component of the force is 47.754 N and the vertical component of the force is 14.818N.

Explanation:

If a child pulls a sled through the snow with a force of 50 N exerted at an angle of 38 abovethe horizontal,

which field of an x.509v3 certificate determine what websites the certificate can be used for? A. Subject Organization Name B. Subject Common Name
C. Subject Key Identifier
D. Subject Alternative Name Extension

Answers

The field of an X.509v3 certificate that determines what websites the certificate can be used for is Subject Alternative Name Extension. The correct option is D.

An X.509v3 certificate is a digital certificate used in the Public Key Infrastructure (PKI) to establish the authenticity and integrity of public key cryptography. It contains various fields that provide information about the certificate's owner, issuer, validity, and usage.

Among the given options, the Subject Alternative Name Extension (SAN) is the field that determines what websites or domain names the certificate can be used for. The SAN extension allows a certificate to specify additional subject identifiers, including domain names, IP addresses, and email addresses, beyond the Subject Common Name (CN) field.

The Subject Common Name (CN) field (option B) is a legacy field that traditionally specified the fully qualified domain name (FQDN) associated with the certificate.

However, due to changes in the way websites are hosted and accessed, the Subject Alternative Name Extension (option D) has become more widely used. It provides greater flexibility by allowing multiple domains or subdomains to be included in a single certificate, accommodating scenarios such as wildcard certificates and multi-domain certificates.

Therefore, the Subject Alternative Name Extension is the field in an X.509v3 certificate that determines what websites the certificate can be used for. Option D. is the correct answer.

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If the skater has a mass of 55 kg and the maximum height the skater can reach is 10 m, then what will be the velocity of the skater if they skate down a height of 5 m? Ignore all friction and thermal energy and show all work

Answers

Answer:

10m/s

Explanation:

Data

mass=55kg, Maximum height (h1) =10m

Height reached when going down (h2)= 5m

final velocity (v)=?

At Maximum height the velocity is zero

hence intial velocity is 0m/s

The change in Potential energy = change in kinetic energy

mgh1-mgh2=1/2mv²-1/2mu²

But (u)= 0m/s

mgh2-mgh1=1/2mv²

mg(h1-h2)=1/2mv²

2g(h1-h2)=v²

v²=2(10m/s²)(10m-5m)

v²=100m²/s³

v=10m/s


An atom with only 1 to 3 valence electrons will tend to____ those valence electrons.

-neutralize
-gain/add
-share
-lose/subtract

Answers

An atom with only 1 to 3 valence electrons will tend to lose/subtract those valence electrons. That is option D.

What are Valence electrons?

Valence electrons are those electrons that are located at the outermost layer of an atom.

During a chemical reaction, elements that have 1 or 2 or 3 valence electrons donate or give out their electron to form a chemical bond with another aton if an element.

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Topics:
1. Explain the causes of ocean currents around the world.
Refer to at least 2 types of heat transfers.
Refer also to the specific heat capacity of the substances involved.

2. Explain features of a thermal food container that can help to keep food
warm.
Refer to at least 2 types of heat transfers.
Refer also to the specific heat capacity of the materials used.

Answers

I need you to make me an invented poem written please not in image

If an object starts at rest, what is necessary to make it start moving?

Answers

it might be force but i don’t remember

It will need a force acceleration

Pleeeease help! I'll give brainliest if possible!! :)))

Use the scenario to answer the question.


An astronomer discovers a new galaxy using a telescope. The astronomer wants to investigate how the galaxy is moving relative to the Milky Way galaxy.


In one or two sentences, make a hypothesis about the movement of the galaxy and explain at least one way to test the hypothesis.

Answers

The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.

What does Hubble's Law Say?

Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.

Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.

The graph shows a linear relationship between galaxy velocity (v) and distance (d).

The equation for the above linear relationship is:

                                          v = H₀ x d

Where:

H₀ is the expansion rate

v = velocity of the galaxy; and

d = distance.

Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.

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A river 800 m wide flows at the rate of 5 km/h. A swimmer who can swim at 10km/h instill, wishes to cross the river straight. (i) Along what direction must he strike. (ii) What should be his resultant velocity? (iii) How much time he would take?​

Answers

The swimmer would take 258 seconds, or 4 minutes and 18 seconds, to cross the river.

To solve this problem, we can use vector addition to find the swimmer's resultant velocity.

(i) Along what direction must he strike?

Let's draw a diagram to represent the situation:

    A

   /|

  / |

 /  |

/   |

B----C

In this diagram, the river flows from point A to point B, and the swimmer wants to cross the river from point C to point B. Let's call the velocity of the river Vr = 5 km/h and the velocity of the swimmer Vs = 10 km/h. We want to find the direction the swimmer should strike to cross the river straight.

Since the swimmer wants to cross the river straight, he needs to swim in a direction perpendicular to the river's flow. This means that the angle between the swimmer's velocity and the river's velocity should be 90 degrees.

Using trigonometry, we can find that the angle between the swimmer's velocity and the direction perpendicular to the river's flow is:

theta = arctan(Vr / Vs)

= arctan(5 / 10)

= 26.57 degrees

Therefore, the swimmer should strike at an angle of 26.57 degrees to the direction perpendicular to the river's flow.

(ii) What should be his resultant velocity?

To find the swimmer's resultant velocity, we need to add his velocity to the velocity of the river. Since the swimmer is swimming at an angle of 26.57 degrees to the direction perpendicular to the river's flow, we need to use vector addition to find his resultant velocity:

     Vs

    /|

   / |

  /  |Vr

 /   |

B----C--->river flow

Using trigonometry, we can find that the magnitude of the swimmer's resultant velocity is:

V = sqrt(Vs^2 + Vr^2)

= sqrt(10^2 + 5^2)

= 11.18 km/h

To find the direction of the swimmer's resultant velocity, we can use the following formula:

theta = arctan(Vr / Vs)

= arctan(5 / 10)

= 26.57 degrees

Therefore, the swimmer's resultant velocity is 11.18 km/h at an angle of 26.57 degrees to the direction perpendicular to the river's flow.

(iii) How much time would he take?

To find the time the swimmer would take to cross the river, we can use the following formula:

time = distance / velocity

The distance the swimmer needs to cross the river is the width of the river, which is 800 m. The swimmer's velocity is 11.18 km/h, or 3.1 m/s.

time = 800 / 3.1

= 258 seconds

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Need help ASAP please Thanks

Need help ASAP please Thanks

Answers

Answer: D
Explanation: there is less light at that point.

A psychologist working from the cognitive perspective would most likely believe that anxiety is caused by __________.
A.
unconscious and unresolved conflicts
B.
a person’s failure to reach one’s potential
C.
certain hormones in the brain
D.
erroneous perceptions or thoughts

Answers

Answer:

D.Erroneous Perceptions or thoughts

Answer:

D. erroneous perceptions or thoughts

Explanation:

why not

he functional unit of the kidney is the .

Answers

Answer:

maintaining overall fluid balance regulating and filtering minerals from blood filtering waste materials from food, medications, and toxic substances.

Explanation:

Answer: Nephrons

Explanation: The structural and functional unit of the kidney is known as nephrons. These are microscopic structures found in the kidneys.

A healthy adult has 0.8 to 1.5 million nephrons in the kidney of a adult. Its main function is filtration of the blood.

Blood is filtered and the impurities are collected to excrete out of the body in the form of urine.

An object of height 2.3 cm is placed 27 cm in front of a diverging lens of focal length 17 cm. Behind the diverging lens, and 11 cm from it, there is a converging lens of the same focal length. A 50% Part (a) Find the location of the final image, in centimeters beyond the converging lens. A 50% Part (b) What is the magnification of the final image? Include its sign to indicate its orientation with respect to the object.

Answers

(a) The location of the final image beyond the converging lens is 12.67 cm.

(b) The magnification of the final image is -0.82, indicating that it is inverted with respect to the object.

To find the location of the final image, we can use the lens formula for thin lenses, which is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

For the diverging lens, u = -27 cm (since the object is in front of the lens), and f = -17 cm (negative for diverging lens). Using the lens formula, we find v1 = -153 cm.

For the converging lens, the object distance is -11 cm (since it is behind the diverging lens), and f = 17 cm. Using the lens formula again, we find v2 = 12.67 cm.

The magnification of the final image can be calculated using the formula magnification = v2/v1, which gives us -0.82. The negative sign indicates that the image is inverted with respect to the object.

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close encounter hypothesis suggested that the planets formed after

Answers

The "close encounter hypothesis" postulated that the planets developed after our Sun and another star came very close to colliding.

The encounter hypothesis was one of the earliest explanations for how planets formed. According to this hypothesis, the Sun was just passed by a renegade star roughly 5 billion years ago. The Sun and the rogue star are tidally stripped of material in the form of hot gas.

The planets are created when this material breaks up into smaller chunks. The advantage of this theory is that it explains why the planets all circle in the same direction (based on the geometry of encounters) and why the inner worlds are heavier than the outer ones.

However, a theory of this kind has two significant flaws. One is that hot gas doesn't compress; it expands. Thus, planets would not form from hot gas clumps. The second is that star interactions are incredibly rare—so rare that they are unlikely in the Universe's (15 billion year) history.

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Correct question:

close encounter hypothesis suggested that the planets formed after __________.

A builder drops a brick from a height of 15 m above the ground. The gravitational field strength g is 10 N/ kg. What is the speed of the brick as it hits the ground?

Answers

The speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

Given the data in the question;

Since the brick was initially at rest before it was dropped,

Initial Velocity; \(u = 0\)Height from which it has dropped; \(h = 15m\)Gravitational field strength; \(g = 10N/kg = 10 \frac{kg.m/s^2}{kg} = 10m/s^2\)

Final speed of brick as it hits the ground; \(v = \ ?\)

Velocity

velocity is simply the same as the speed at which a particle or object moves. It is the rate of change of position of an object or particle with respect to time. As expressed in the Third Equation of Motion:

\(v^2 = u^2 + 2gh\)

Where v is final velocity, u is initial velocity, h is its height or distance from ground and g is gravitational field strength.

To determine the speed of the brick as it hits the ground, we substitute our giving values into the expression above.

\(v^2 = u^2 + 2gh\\\\v^2 = 0 + ( 2\ *\ 10m/s^2\ *\ 15m)\\\\v^2 = 300m^2/s^2\\\\v = \sqrt{300m^2/s^2}\\ \\v = 17.32m/s\)

Therefore, the speed of the brick dropped by the builder as it hits the ground is 17.32m/s.

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A mass-spring system can oscillate once every 2.5s when a 750 grammass is attached to it. What must the spring constant be to allow thisvibrational period?

Answers

Answer:

4.737 N/m

Explanation:

The period of a mass-spring system is calculated as

\(T=2\pi\sqrt{\frac{m}{k}}\)

Where m is the mass and k is the spring constant. Solving for k, we get

\(\begin{gathered} \frac{T}{2\pi}=\sqrt{\frac{m}{k}} \\ \\ (\frac{T}{2\pi})^2=\frac{m}{k} \\ \\ \frac{T^2}{4\pi^2}\cdot k=m \\ \\ T^2\cdot k=m(4\pi^2) \\ \\ k=\frac{m(4\pi^2)}{T^2} \end{gathered}\)

Then, replacing m = 750 g = 0.75 kg and T = 2.5s, we get:

\(k=\frac{0.75\text{ kg }\cdot4\cdot\pi^2}{(2.5\text{ s\rparen}^2}=4.737\text{ N/m}\)

Therefore, the spring constant must be 4.737 N/m


A sound that is 10 times greater than the threshold of
hearing has an intensity of 10dB, but a sound that is 20 times
greater than the threshold of hearing does not have an intensity of
20dB. Explain

Answers

The relationship between sound intensity and the perceived loudness (decibels) is not a linear one the threshold of hearing does not have an intensity of 20dB, despite being 20 times greater in magnitude.

The perception of sound intensity follows a logarithmic scale rather than a linear scale. The decibel (dB) scale is used to quantify sound intensity, and it is logarithmic in nature. Each 10-fold increase in sound intensity corresponds to an increase of approximately 10dB.

In the given scenario, a sound that is 10 times greater than the threshold of hearing has an intensity of 10dB. This means that it is 10 times more intense than the reference sound used to establish the threshold of hearing.

However, a sound that is 20 times greater than the threshold of hearing does not have an intensity of 20dB. This is because the decibel scale is logarithmic, and a 20-fold increase in intensity does not directly translate to a 20dB increase. Instead, it would correspond to a larger increase in decibels.

The relationship between sound intensity and decibels is complex and nonlinear. It is influenced by factors such as the sensitivity of the human ear and the physiological perception of sound. Therefore, a simple linear relationship does not hold between the magnitude of a sound and its corresponding decibel value.

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I have an atomic mass of 108. Who am I?

Answers

you are Hassium symbol hs

What value of resistor R gives the circuit in the figure a time constant of 22 μs ?

Answers

The value of resistor R that gives the circuit in the figure a time constant of 22 μs is 220 Ω.

The circuit that is in the figure is shown below:Given that time constant (RC) = 22 μs. To find the value of resistor R, we need to use the formula for the time constant:

RC = τ, where R is the resistance and C is the capacitance of the circuit.

Rearranging the above formula, we get:R = τ / C

Where τ is the time constant and C is the capacitance of the circuit.

From the figure, the capacitance is given as 0.1 μF

.Substituting the values of τ and C in the above formula, we get:

R = (22 × 10⁻⁶ s) / (0.1 × 10⁻⁶ F)

R = 220 Ω

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A man weighing 650 N and a woman weighing 400 N have the same momentum. What is the ratio of the man's kinetic energy Km to that of the woman Kw?

Answers

The ratio of the man's kinetic energy Km to that of the woman Kw is 49.3.

Solution:

Weight of man = 680 N= \(M_{man}\)*g

\(M_{man}\) = 650/ 9.8 = 66.3 Kg

\(M_{woman}\) = 400/ 9.8 = 40 Kg

momentum of man = momentum of woman

Mm*Vm = Mw* VW

Vm/ Vw = 51/ 69.3 = 0.73  

kinetic energy of man / kinetic energy of woman = 1/2 Mm*V2m  /  1/2* Mw * V2 w

= 66.3* (0.73)2 / 51    

= 1.898

Given that kinetic energy of cardinal = k.e of ball

1/2 Mcard *V2 card = 1/2 * Mball * V2ball

Vc/ Vb = (Mball/ Mcard ) 1/2 = 0 .020        

cardinals momentum/ baseball momentum = Mc* Vc/ Mb * Vb

= 3.60*102 *0.020 / 0.146 =  49.3  

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explain a conventional method of heat transfer.​

Answers

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

Conventional method of heat transfer.​

Convection refers to a method of heat transfer where food is heated by a moving heat source such as hot air inside an oven that is circulated by a fan.

How it works?

Convection occurs when particles with a lot of heat energy in a liquid or gas move and take the place of particles with less heat energy. Heat energy is transferred from hot places to cooler places by convection. Liquids and gases expand when they are heated. As a result, the particles take up more volume.

For example:

Conventional ovens, which do not have fans, rely primarily on radiation from the oven walls, and to a lesser extent, on natural convection caused by temperature differences. The fans in convection ovens allow more heat to be transferred via convective heat transfer.

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A circuit has an operating voltage of 220 volts. The circuit resistance is 55 ohms which limits the current to 4 amperes. You wish to add enough resistance to limit the current to 2 amperes. How much total resistance would you need in this circuit

Answers

Total, 110 ohms resistance you would need to the circuit in order to limit the current to 2 amperes.

To limit the current in the circuit to 2 amperes, we can use Ohm's Law, which states that the current (I) in a circuit is equal to the voltage (V) divided by the resistance (R);

I = V / R

Given;

Operating voltage (V) = 220 volts

Circuit resistance (R) = 55 ohms

Desired current (I_desired) = 2 amperes

We wil rearrange Ohm's Law to solve for the resistance required to achieve the desired current;

R_required = V / I_desired

Substituting the given values, we have;

R_required = 220 V / 2 A

Calculating the division, we find;

R_required = 110 ohms

Therefore, you would need to add an additional resistance of 110 ohms to the circuit in order to limit the current to 2 amperes.

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In 2-3 sentences, summarize the evidence for the big bang theory. Include the following vocab words in your response: Redshift, Galaxies, Expansion, Cosmic microwave background.

Answers

The Big Bang theory is supported by experimental evidence obtained by astronomical observations. Scientists observing light emitted from galaxies did not match light spectra produced in experiments on earth - they were shifted to a longer wavelength, a phenomenon known as redshift. The only way that light could have been redshifted while it was traveling from the galaxies was if the galaxies were moving away from us by the universe’s expansion. Another observation is the faint electromagnetic radiation being emitted from the far reaches of the universe; this cosmic microwave background essentially provides a snapshot of the universe when the temperature dropped low enough for fundamental particles to form.

Hope this helps!

In an experiment in which molten naphthalene is allowed to cool, the cooling curve shown below was obtained, the temperature 80∘C is known as

A. cooling temperature

B. boiling point

C. melting point

D. vaporization point

In an experiment in which molten naphthalene is allowed to cool, the cooling curve shown below was obtained,

Answers

Answer:

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Explanation:

In an experiment in which molten naphthalene is allowed to cool, the cooling cur...

Question

In an experiment in which molten naphthalene is allowed to cool, the cooling curve in fig 5 was obtained, the temperature

80

C.

is known as

Options

A) cooling temperature

B) boiling point

C) melting point √√√√√√√√√√※※※ ↑↑ANSWER

D) vaporization point

In an experiment in which molten naphthalene is allowed to cool, the cooling curve shown below was obtained,

Which of the following is a pure
substance?
A. Heterogenous mixture
B. Homogenous mixture
C. Solution
D. Element

Answers

Answer:

B. Homogenous mixture

Explanation:

........

*
A light year is
1 Point
O 365 days
O The distance light travels in a year
O The distance from Earth to Proxima Centauri
Helppp now is my final exammmm pleaseeee

Answers

Answer:

2.The Distance Light Travels In A Year

Explanation:

A Light Year Is Nothing But The Distance That The Light Travels In Onw Year

Answer:

Shown from explanation.

Explanation:

Light year is the distance light travels in one year and you can calculate that.

Light travels 3× 10^8m in 1 second; so you calculate the number of seconds in 365days and multiply by 3× 10^8m.

Light year was a unit of measure derived by man for expressing planetary distances due to their so huge distance which goes beyond our scale of measure.

In the circuit shown above, the current through the ammeter is 20 mA and the voltmeter indicates 1.0 V. What is the current through the 40 resistor?

A. 7.5mA
B. 10mA
C. 20mA
D. 40mA​

In the circuit shown above, the current through the ammeter is 20 mA and the voltmeter indicates 1.0

Answers

Answer:

20mA

Explanation:

because it is connected in series with the ammeter

The current through the 40Ω resistor in the given circuit is 20mA, which is explained below.

Current through the resistors:

The volate across resistor R is 1V, as indicated by the voltmeter.

Since the potential of the battery is 3V, according to Kirchoff's voltage law, the voltage drop across 20Ω resistors must be 1V each since they are indentical.

Let a total current I passes through 20Ω resistor as it is connected to the battery in series. From Ohm's law:

20Ω × I = 1V

I = 50mA

Now the current indicated by the ammeter is 20mA which splits according to the reistors of 15Ω and 30Ω which are connected in parallel. Then again the current adds up to 20mA when leaving the set of parallel resistors, through the 40Ω resistor.

So the current through the 40Ω resistor is 20mA

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a spring with a natural length of 30 meters is stretched and held with a force of 61.2 n. rounded to the nearest thousandth, how much work is done in stretching the spring to 50 meters?

Answers

Rounded to the nearest thousandth, the work done in stretching the spring to 50 meters is approximately 102.000 J.

To calculate the work done in stretching the spring, we can use the formula:

\(Work = (1/2) * k * (x^2 - x_0^2)\)

Where:

k is the spring constant,

x is the final displacement,

\(x_0\) is the initial displacement.

First, we need to determine the spring constant (k). The spring constant represents the stiffness of the spring and is typically given in units of N/m (newtons per meter).

Next, we calculate the initial displacement (\(x_0\)) and the final displacement (x).

Given:

Initial length of the spring (\(x_0\)) = 30 meters

Final length of the spring (x) = 50 meters

Force applied to the spring = 61.2 N

The force applied to the spring is related to the displacement by Hooke's Law:

F = k * x

Rearranging the equation, we can solve for the spring constant:

k = F / x

k = 61.2 N / 30 m

k ≈ 2.04 N/m

Now, we can calculate the work done:

\(Work = (1/2) * k * (x^2 - x_0^2)\)

\(Work = (1/2) * 2.04 N/m * ((50 m)^2 - (30 m)^2)\)

Work ≈ 102.0 J

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