A ‘thermal tap’ used in a certain apparatus consists of a silica rod which


fits tightly inside an aluminium tube whose internal diameter is 8mm at


0


0C. When the temperature is raised, the fit is no longer exact. Calculate


what change in temperature is necessary to produce a channel whose


cross-section is equal to that of a tube of 1mm internal diameter. (linear


expansivity of silica = 8X10-6


/K and linear expansivity of aluminium =


26X10-6


/K )

Answers

Answer 1

Correct question is;

A thermal tap used in a certain apparatus consists of a silica rod which fits tightly inside an aluminium tube whose internal diameter is 8mm at 0°C.When the temperature is raised ,the fits is no longer exact. Calculate what change in temperature is necessary to produce a channel whose cross-sectional is equal to that of the tube of 1mm. (linear expansivity of silica = 8 × 10^(-6) /K and linear expansivity of aluminium = 26 × 10^(-6) /K).

Answer:

ΔT = 268.67K

Explanation:

We are given;

d1 = 8mm

d2 = 1mm

At standard temperature and pressure conditions, the temperature is 273K.

Thus; Initial temperature; T1 = 273K,

Using the combined gas law, we have;

P1×V1/T1 = P2×V2/T2

The pressure is constant and so P1 = P2. They will cancel out in the combined gas law to give:

V1/T1 = V2/T2

Now, volume of the tube is given by the formula;V = Area × height = Ah

Thus;

V1 = (πd1²/4)h

V2 = (π(d2)²/4)h

Thus;

(πd1²/4)h/T1 = (π(d2)²/4)h/T2

π, h and 4 will cancel out to give;

d1²/T1 = (d2)²/T2

T2 = ((d2)² × T1)/d1²

T2 = (1² × T1)/8²

T2 = 273/64

T2 = 4.23K

Therefore, Change in temperature is; ΔT = T2 - T1

ΔT = 273 - 4.23

ΔT = 268.67K

Thus, the temperature decreased to 268.67K


Related Questions

What is meant by a 'closed system'?

Answers

Answer:

Image result for What is meant by a 'closed system'?

A closed system is a physical system that does not allow transfer of matter in or out of the system, though, in different contexts, such as physics, chemistry or engineering, the transfer of energy

Explanation:

Answer:

A closed system is a physical system that does not allow transfer of matter in or out of the system, though, in different contexts, such as physics, chemistry or engineering, the transfer of energy is or is not allowed

Explanation:

What will most likely happen ifa light wave moves through a solid?
O It will increase in wavelength.
O It will decrease in speed.
O It will increase in speed.
O It will decrease in wavelength.

Answers

it will decrease speed

how much power does it take to lift 30 kg 10n high in 5sec

Answers

Answer:

the answer is 60 w. i hope this helps

Which of the following is a layer of the solid Earth? A. convecting mantle B. Ring of Fire C. biosphere D. atmosphere

Answers

Answer:

It's a cause that's the last layer

Answer:

I believe the answer is A

Explanation:

It is not the ring of fire because the ring of fire is the result of tectonic plates moving. It is not the biosphere because biosphere is the regions of the surface.  The convecting mantle is the solid layer of the Earth because the mantle is mostly solid. The atmosphere is a solid plastic layer of the Earth. I hope this helps.

A dart is thrown from 1.50 m high at 10.0 m/s toward a target 1.73 m from the ground. At what angle was the dart thrown?

Answers

Answer:

The angle of projection is 12.26⁰.

Explanation:

Given;

initial position of the dart, h₀ = 1.50 m

height above the ground reached by the dart, h₁ = 1.73 m

maximum height reached by the dart, Hm = h₁ - h₀ = 1.73 m - 1.50 m= 0.23 m

velocity of the dart, u = 10 m/s

The maximum height reached by the projectile is calculated as;

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

where;

θ is angle of projection

g is acceleration due to gravity = 9.8 m/s²

[tex]H_m = \frac{u^2sin^2 \theta}{2g}\\\\sin^2 \theta = \frac{H_m \ \times \ 2g}{u^2} \\\\sin^2 \theta = \frac{0.23 \ \times \ 2(9.8)}{10^2} \\\\sin ^2\theta =0.04508\\\\sin \theta = \sqrt{0.04508} \\\\sin \theta = 0.2123\\\\\theta = sin^{-1}(0.2123)\\\\\theta = 12.26^0[/tex]

Therefore, the angle of projection is 12.26⁰.

A tennis ball launcher works by using a spring to

propel the ball forward.

One model of tennis ball launcher has

advertised that it is capable of imparting

15,000 J of kinetic energy to a 0.5 kg ball

initially at rest. A student carefully measures the

compression of the spring to be 0.10 m.

What is the value of the spring constant for the

tennis ball launcher according to the data

provided?

Answers

Answer:

3MN/m

Explanation:

Step one:

given data

Kinetic Energy KE=15,000J  

mass m= 0.5kg

compression x= 0.1m

Step two:

The expression for the energy stored in spring is

[tex]KE= 1/2ke^2\\\\15000=1/2 *k*0.1^2\\\\15000=1/2*k*0.01\\\\15000=0.005k\\\\[/tex]

divide both sides by

0.005

[tex]k= 15000/0.005\\\\k=3000000\\\\k= 3MN/m[/tex]

From conservation of energy, the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm

The work done by a  tennis ball launcher by using a spring to propel the ball forward is equal to the kinetic energy which is 15,000 Joule. That is,

W = K.E

The given parameters are:

K.E = 15,000 J

Mass m = 0.5 kg

compression x = 0.1 m

The elastic potential energy on the spring will be equal to the work done by the tennis ball launcher. That is,

E = W

since W = K.E

E = K.E

1/2k[tex]x^{2}[/tex] = 1/2m[tex]v^{2}[/tex] = 15,000

1/2k[tex]x^{2}[/tex] = 15000

Substitute for 0.1 for x

1/2 K ([tex]0.1^{2}[/tex]) = 15000

[tex]0.1^{2}[/tex] K = 30000

K = 30000/0.01

K = 3 x [tex]10^{6}[/tex] Nm

Therefore,  the value of the spring constant for the tennis ball launcher according to the data is 3 x [tex]10^{6}[/tex] Nm

Learn more about Elasticity here: https://brainly.com/question/9821607

You serve a volleyball with a mass of 1.4 kg. The ball leaves with a speed of 13 m/s. Calculate KE

Answers

Answer:

118.3 J

Explanation:

Givens:

m = 1.4 kg

V = 13 m/s

Formula for kinetic energy:

KE = (1/2)*(m)*(v)^2

KE = .5*(1.4 kg)*(13 m/s)^2

KE 118.3 J

J = Joules

Increase or decrease? 35 points ??? Please help

Answers

Answer:    

increase, GPE, KE, KE, KE, PE, PE, KE, KE,

Explanation:

I need the answer to this question what has the student plotted on the vertical axis?

Answers

Answer:

The correct option is D

Explanation:

In trying to achieve what the student wanted to see, which is to see the relationship between the weight the cord can hold and how long the cord will stretch. Since the origin of the graph is from zero, the value plotted on the vertical axis would be just the length caused by each weights. Thus, the original length would have to be subtracted from the measured length to determine the actual length caused by the weight added to the cord.

The mass of a box is 300 kg and it's base area is 15m². Calculate the pressure exerted by the box on the ground.

Answers

Answer:

• Mass, m = 300 kg

• Area, a = 15 m²

• Acceleration due to gravity, a = 9.8 m/s²

To Find :

• The pressure exerted by the box on the ground

Solution :

We know that,

★ Pressure = Force/Area

For calculation of Pressure we will have to find the force acquired first

From Newton's 2nd law of motion :

★ Force = Mass × Acceleration

→ F = 300 × 9.8

→ F = 2940 Newtons

Put the value of Force in the formula of Pressure :

→ Pressure =  

→ Pressure = 196 Pascals

 The pressure exerted by the box on the ground is 196 Pascals.

n which order did the events forming our solar system occur?

The solar nebula became hot and dense pulling in more gas.This flattened into a rotating disk. It spun faster and faster, forming the Sun.
Gas was pulled toward the center, forming the Sun. Gas flattened into a rotating disk and became hot and dense, forming a solar nebula that spun faster and faster.
Gas flattened into a rotating disk and became hot and dense, forming a solar nebula that spun faster and faster. Gas was pulled toward the center, forming the Sun.
The solar nebula spun faster and faster and flattened into a rotating disk. Most of the gas was pulled toward the center, where it became hot and dense, forming the Sun.

Answers

Answer:

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun.

Explanation:

hope this helps

The solar nebula became hot and dense because of that it pulling in more gas. This flattened into a rotating disk. It  spun  faster and faster, forming the Sun. This order did the events forming our solar system occur.

What is Solar nebula ?

In the so-called nebular hypothesis of the genesis of the solar system, the Sun and planets originated by condensation from a gaseous cloud. In 1734, Swedish philosopher Emanuel Swedenborg claimed that the planets arose from a nebular crust that enveloped the Sun before breaking apart. Immanuel Kant, a German philosopher, proposed in 1755 that the Sun and planets were created by a slow rotating nebula that was eventually pushed together by its own gravitational force and flattened into a spinning disc. In 1796, the French astronomer and mathematician Pierre-Simon Laplace presented a similar concept, but with the planets forming before the Sun. The Kant-Laplace theories were criticised by the British physicist James Clerk in the late nineteenth century.

To know more about solar Nebula :

https://brainly.com/question/28715616

#SPJ5.

What is the net force EF?

Answers

Answer:

Physics Net Force

Explanation:

Physics Net Force

The net force is the combined force of all individual forces acting on an object. Newton's First Law can be seen to be the special case in the Second Law when F, the net force, is zero. When that happens, the acceleration a must also be zero.

Hope this helped you!!

An electron emitted from a filament is travelling at 1.5 x 105 m/s when it enters an acceleration of an electron gun in a television tube. It is constantly accelerated while travelling 0.01 m, and leaves the gun at 5.4 x 106 m/s. What was the acceleration of the electron

Answers

Answer:

The acceleration of the electron is 1.457 x 10¹⁵ m/s².

Explanation:

Given;

initial velocity of the emitted electron, u = 1.5 x 10⁵ m/s

distance traveled by the electron, d = 0.01 m

final velocity of the electron, v = 5.4 x 10⁶ m/s

The acceleration of the electron is calculated as;

v² = u² + 2ad

(5.4 x 10⁶)² = (1.5 x 10⁵)² + (2 x 0.01)a

(2 x 0.01)a = (5.4 x 10⁶)² - (1.5 x 10⁵)²

(2 x 0.01)a = 2.91375 x 10¹³

[tex]a = \frac{2.91375 \ \times \ 10^{13}}{2 \ \times \ 0.01} \\\\a = 1.457 \ \times \ 10^{15} \ m/s^2[/tex]

Therefore, the acceleration of the electron is 1.457 x 10¹⁵ m/s².

A distance of 0.002 m separates two objects of equal mass. If the gravitational force between them is
0.0104 N, find the mass of each object.​

Answers

Answer: 24.97 kg

Explanation:

The gravitational force between two objects of masses M1, and M2 respectively, and separated by a distance R, is:

F = G*(M1*M2)/R^2

Where G is the gravitational constant:

G = 6.67*10^-11 m^3/(kg*s^2)

In this case, we know that

R = 0.002m

F = 0.0104 N

and that M1 = M2 = M

And we want to find the value of M, then we can replace those values in the equation to get

0.0104 N = (6.67*10^-11 m^3/(kg*s^2))*(M*M)/(0.002m)^2

(0.0104 N)*(0.002m)^2/(6.67*10^-11 m^3/(kg*s^2)) = M^2

623.69 kg^2 = M^2

√(623.69 kg^2) = M = 24.97 kg

This means that the mass of each object is 24.97 kg

Identify how the energy flows up through the ecosystem. Describe how decomposers help to cycle matter in an ecosystem and their limitations?

Answers

Answer:

Decomposers are organisms that break down dead or decaying organisms, they carry out decomposition, a process possible by only certain kingdoms, such as fungi. Like herbivores and predators, decomposers are heterotrophic, meaning that they use organic substrates to get their energy, carbon and nutrients for growth and development. While the terms decomposer and detritivore are often interchangeably used, detritivores ingest and digest dead matter internally, while decomposers directly absorb nutrients through external chemical and biological processes. Thus, invertebrates such as earthworms, woodlice, and sea cucumbers are technically detritivores, not decomposers, since they must ingest nutrients - they are unable to absorb them externally.

Explanation:

What type of interference is happening when light waves add together to
become brighter?
Which letter on the diagram shows this phenomenon?

Answers

Answer:

They become brighter in constructive interference because the wave paths donot cancel out, but just strengthen to give a brighter light.

No diagram

A student lifts a basketball to a height of 6 feet and lets the ball drop to the ground. Which statement accurately compares the ball's energy at a height of 6 feet (at rest) and at a height of 2 feet (falling)?
A.
The ball's kinetic energy is the same at both heights, but its potential energy is different.
B.
The ball has less potential energy and more kinetic energy at 6 feet than at 2 feet.
C.
The ball's potential energy is the same at both heights, but its kinetic energy is different.
D.
The ball has more potential energy and less kinetic energy at 6 feet than at 2 feet.

Answers

Answer:C

Explanation:

If you are holding the ball that would be the ball would have potential energy since it it not moving. Once you drop the ball it will have kinetic energy since it’s moving. If you drop the ball from 6ft it will have more kinetic since it will have more time to accelerate. If you drop the ball from 2ft then it will have less kinetic energy since it is closer to the ground and won’t have beeping time to accelerate and get rid of the potential energy.

Answer:

c

Explanation:

Which has the greatest amount of energy: ultraviolet rays, infrared rays, or
microwaves? (1 point)

Answers

Answer:

ultraviolet rays

Explanation:

It is because it have more photons.

What is transmitted by EM waves?

a. charges

b. energy

c. fields

d. matter

Answers

Answer:

What is transmitted by EM waves?

energy

define watt and write how much watt is equal to one horse power

Answers

Answer:

A watt (W) is a joule (J) of energy used or produced per second. In 2010, the average US power use was 3.3 terawatts, or 3,300,000,000,000 watts. A horsepower is a unit of power. 1 horsepower (hp) is 745.7 watts.

extra info

How many watts does it take to make 1 horsepower?

746 watts !

One electric horsepower is equal to exactly 746 watts.

can someone help me with my qustions :(

do you know this???
ill give you 20 points

Answers

Answer:

it looks like B on the first one and D on the second hope this helps!!

Explanation:

convert 67km/hr to m/s​

Answers

Answer:

answer is 18.6111

you can easily convert km/hr into m/s

just divide it by 3.6

3. A 3.0 g bullet traveling at a speed of 400 m/s enters a tree and exits the other side with a speed of 200 m/s. Where did the I bullet's lost KE go, and what was the energy transferred? Solution:​

Answers

Answer:I had two questions: 1) Shouldnt the equation be : Change of internal energy= Change in Ke or KEi +Ui=KEf+Uf .. I cant seem to understand how the change in KE+ Change in Internal Energy equals 0 2) Also, it has a note which says that if the bullet alone was chosen as a system, then work would be done on it and the heat transfer woudl occur. How would one formulate an equation for this?

Explanation:

A student wants to get real and inverted
image of same size as object. Which type of
mirror should be used and draw ray diagram
for this.​

Answers

Answer:

concave mirror

Explanation:

In a ballistics test at the police station an officer
shoots a 6.0g bullet at 350m/s into a wooden block. If
it takes 1.8ms for the bullet to stop, what is the
average force acting on the bullet as it stops? (Hint:
ms stands for milliseconds.)

Answers

you times the 6 by the 350 duvided 1.8

what happens when two forces at same direction​

Answers

Answer:

Explanation:

· If two forces are in the same direction, then one adds them to find the net force, which is the vector sum of these forces. However, when two forces act in opposite direction, one has to subtract the lesser force from the larger one to find the resulting force. The resultant is the direction of the larger of these two forces.

Can the distance coverd by a body ever be negative? What about its distance and displacement​

Answers

answer in photo enjoy

A car is traveling at a velocity of 22 m/s when the driver puts on the brakes
to decelerate it at 1.4 m/s? over a distance of 110 m. What is the car's
velocity at the end of this distance?

Answers

Answer:

v = v +at = 22 + (1.6 6.8 s  ms) = 33 ms

Explanation:

Please help ASAP I’ll give brainly and 10 points

Answers

Answer: it’s the third one ☝️

What is the relationship between the frequency of light and refraction?

Answers

Answer:

The refractive index of a medium is dependent (to some extent) upon the frequency of light passing through, with the highest frequencies having the highest values of n. It also changes the wave speed, frequency, and wavelength.. Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter. When waves travel from one medium to another the frequency never changes. As waves travel into the denser medium, they slow down and wavelength decreases

Explanation:

Answer:the higher the frequency the greater the index of refraction

Explanation:The index of refraction of any material besides vacuum varies slightly with the frequency of light too soo basically the more or higher the frequency the greater the refraction (index of refraction)

For example

Say you have green or red light which they have lower frequency that blue or purple

So the index of refraction will be lower

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