why did a glass bottle with a water burst at night in the cold on a glazed balcony?​

Answers

Answer 1

Answer:

i guess if the a glass gets to cold it will bust

Explanation:


Related Questions

protein electrophoresis uses electric field to separate charged blood protein in a gel. this helps diagnoses various diseases, e.g. cancer. a protein typically has 23 excess electrons. the needed force to separate a protein is 10-14 n. the required electric field in the equipment is n/c.

Answers

The required electric field in the equipment is  35.77 * [tex]10^{17}[/tex] N/C.

We know that,

E = F / q

where,

E = Electric field

F = Electric force

q = Charge of electron

Given that,

F = 10e - 14 N = 13.18 N

No. of electrons = 23

q = 23 * 1.602 * [tex]10^{-19}[/tex] = 36.846 * [tex]10^{-19}[/tex] C

E = 13.18 / 36.846 * [tex]10^{-19}[/tex] = 35.77 * [tex]10^{17}[/tex] N / C

Protein electrophoresis is a test used to measure specific proteins in blood. The separation of proteins is based on their electric charge.

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suppose you need to design a parachute system to help a remote camera land safely at the bottom of a cave. the camera will drop from a height of one story. it has a mass of about 500 g. a carton of eggs inside a box will model the camera. for your test to be successful, none of the eggs can break when the box lands. you may use string, plastic bags, paper, and any fabrics you have to make a model parachute.

Answers

The answer is hang glider.

What is the model?

In high school, I created a project for a similar experiment that was accepted.

It matters what you carry the egg in because it is an egg, so something cushioned.

Use the fabric and cut the paper bag to make the kind of parachute I mentioned before.

When people go sky divining, they use a specific kind of parachute because the design is supposed to slow the fall and give them a chance to make a safe landing.

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James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough because he should specify that

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(b) the set of points is in a plane

A circle has points in a plane, a center, a radius, and a diameter. Depending on the situation, at least one of the following words must be included in the definition of a circle:

Points in a planeRadiusCenterDiameter

Based on James' definition of a circle, he needed to specify that the points are in a plane (option b).

The phrase "the set of all the points," as he defines it, has a variety of meanings. among them are:

the set of points on a line.

a plane's set of points.

the region's collection of points

James should have made it clear that the collection of points is in a plane.

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The complete question is mentioned below:

James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough

because he should specify that

(a) a circle includes its diameter

(b) the set of points is in a plane

(c) a circle includes its radius

(d) the set of points are collinear

a ball is initially rolling up a incline with velocity 0.2 m/s. during the motion is it decelerates uniformly at 0.05 m/s² a) at what time does the ball come to a stop? a ball is initially rolling up a incline with velocity 0.2 m/s. during the motion is it decelerates uniformly at 0.05 m/s² a) at what time does the ball come to a stop?

Answers

The ball will stop after 6 s.

The initial velocity of the ball is u.

u = 0.2 m/s

Acceleration of the ball is a.

a = 0.05 m/s²

The time interval is t.

t = 6 seconds.

The displacement of the ball at time t is s.

The displacement of the ball at time t is,

[tex]s= ut + \frac{1}{2} at ^{2} [/tex]

[tex]s= 0.2 \times 6+ \frac{1}{2} \times ( - 0.05) \times (6)^{2} [/tex]

[tex]s= 0.3 \: m[/tex]

Therefore, the displacement of the ball at time t is 0.3 meters.

The time at which the ball will stop is,

Distance = Speed × Time

0.3 = 0.05 × Time

Time = 6 seconds.

Therefore, the ball will stop after 6 s.

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For all of their diversity, many less developed countries are linked by a range of common problems. what are these problems? which do you think are the most important? why?

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The major problem in a least developed country according to me is probably the low per capita income.

The problems that a less developed country faces are:

Crippling debt ( Due to low per capita income )High populationPoor infrastructureHigher usage of primary sector

A lot of these countries have poor infrastructure for other sectors than primary sector ( Eg. Agriculture, fishing etc. ). This results in exploitation of natural resources with less per capita income ( Amount of money earned per person in a region ). This leads to crippling debts, not just as a person, but as a whole nation.

Therefore, the major problem in a least developed country is probably the low per capita income.

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Determine the limiting reactant and calculate the number of grams of al2o3 that can be formed when 10.0 grams of al and 5.00 grams of o2 react.

Answers

The 5.00 grams of oxygen gas (O₂) is the limiting reagent and the mass of aluminum oxide formed is 10.6 g.

What is limiting reactant?

The limiting reagent is the reactant that is completely used up in a reaction, and thus determines when the reaction stop.

Reaction of oxygen and aluminum to form aluminum oxide

3O₂ + 4Al  → 2Al₂O₃

combining ratio of the elements;

O = 3

AL = 4

In the reaction above, 5.0 g of oxygen will be completely used, since it has the smaller combining ratio.

Mass of the aluminum oxide formed

3O₂  ---------------> 2Al₂O₃

3(16 x 2) ------> 2(27 x 2   + 16 x 3)

96 ------------------>  204

5 -------------------> ?

= (5 x 204)/96

= 10.6 g

Thus, the 5.00 grams of oxygen gas (O₂) is the limiting reagent and the mass of aluminum oxide formed is 10.6 g.

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a 1.0m1.0m by 2.0m2.0m by 3.0m3.0m rectangular block has a uniform density of 600kg/m3600kg/m3and is completely submerged and held stationary in a deep pool of water. the water exerts an upward buoyant force on the block of 6×104n6×104n . the block is released and, after rising a short distance toward the surface, experiences a drag force of 2×104n2×104n. the magnitude of the acceleration of the block at this instant is most nearly

Answers

The magnitude of the acceleration of the block at this instant is 1.11m/s².

Given here the dimension of the block 1×2×3m, so the volume = l×b×h =6m3 and density = 600kg/m³

Mass of the block can be calculated as, m= volume × density = 600×6=3600kg.

Now, we calculate magnitude of force which is given by,

∑Force = F buoyant – ∑F drag- ∑F gravity

Force = 6×104 -2×104 – 3600× 9.8 =3600 ×a

On calculating this, we get

a= 1.11m/s².

Thus, the magnitude of acceleration is found to be 1.11m/s².

Buoyant force, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. The weight of the fluid on top causes pressure in a fluid column to rise with depth. If the buoyant force acting on an object is greater than the gravitational force then object will float, if gravitational force is greater than buoyant force then object will sink or drown.

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before going in for an annual physical, a 70.0-kg person whose body temperature is 37.0∘c consumes an entire 0.355-liter can of a soft drink (which is mostly water) at 12.0∘c.

Answers

The equilibrium temperature is required and to find whether the temperature change can be measured by a thermometer is required. The temperature is 310 K.

What is temperature ?

A physical measure that describes how hot a substance or radiation is is called temperature.

There are three different types of temperature scales: those, like the SI scale, that are defined in terms of the average translational kinetic energy per freely moving microscopic particle, like an atom, molecule, or electron, in a body; those that only rely on strictly macroscopic properties and thermodynamic principles, like Kelvin's original definition; and those that are defined by practical empirical properties of particulates rather than by theoretical principles.

With a thermometer, temperature is measured. It is calibrated in a number of temperature scales that historically defined themselves using different reference points and thermometric substances. The Celsius scale, originally known as "centigrade," is the most popular scale.

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What did gravity create when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system?.

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gravity created a solar nebula when 99% of the gas and dust materials were gathered into the center of a flattened disc during the formation of the solar system

The explosion of a flattened disc created waves in space that compressed the cloud of gas and dust.  The cloud is all gravitationally bounded together.  

As the cloud continued to fall inward, the center eventually became so hot that it became a star, the Sun, and blew away most of the new solar system's gas and dust with a powerful stellar wind.

This squeeze caused the cloud to begin collapsing as gravity pulled the gas and dust together to form the solar nebula.

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Kriti does a work of 450 joule using the power of 1500 watt. how much time is taken to do the work?​

Answers

Answer:

450

Explanation:

I think answer is 450.

two parallel conducting plates, each of cross sectional area 460 cm2, are 4.0 cm apart and uncharged. if 4.9 ✕ 1012 electrons are transferred from one plate to the other, what are the following? (a) the charge density on each plate (enter the magnitude in c/m2.) c/m2 (b) the electric field between the plates (enter the magnitude in n/c.) n/c

Answers

Surface Charge density on each plate  sigma =+- Q/a = +4.9×10²⁴/4.6×10⁻²C/m² and Electric field is found to be 0.12×10³⁸N/C.

Given, here the cross sectional area of the conducting plate (A)

A = 460 cm² = 460 x 10-4 m² = 4.6 x10-²m² and distance between plate, d = 4.0 cm = 4x10² m²

Charge on the plate, Q = ne ,where n= 1×10¹²

Q = ± 10¹² x4.9x 10¹²c = ± 4.9x 10²⁴ c

Now, we have to find charge density on each plate  sigma =+- Q/a = +4.9×10²⁴/4.6×10⁻² C/m²

σ= 1.09× 10²⁶ C/m²

Now we have to find electric field between the plates.

E= σ /E°= 1.09× 10²⁶/ 8.85×10⁻¹²

E= 0.12×1038N/C

Charge density is a measure of the amount of electric charge present in a space per unit volume in one, two, or three dimensions. The quantity of electric charge per surface area or volume, respectively, is known as the linear surface or volume charge density.

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Calculate the number of atoms of zinc, zn, if you begin with 8.35 moles of zinc.

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Taking into account the definition of Avogadro's Number, 5.029×10²⁴ atoms of zinc are in 8.35 moles.

Definition of Avogadro's Number

Avogadro's Number or Avogadro's Constant is called the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023×10²³ particles per mole. Avogadro's number applies to any substance.

Number of atoms of zinc

Then you can apply the following rule of three: If 1 mole of zinc contains 6.023×10²³ atoms, 8.35 moles of zinc contains how many atoms?

amount of atoms of zinc= (6.023×10²³ atoms× 8.35 moles)÷ 1 mole

amount of atoms of zinc= 5.029×10²⁴ atoms

Finally, 5.029×10²⁴ atoms of zinc are in 8.35 moles.

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Which is true of photosynthesis and cellular respiration

Answers

Im confused on your questions, however they both need each other to work :D

Answer:

Photosynthesis and cellular respiration are processes by which plants and animals use to create energy from food.

Photosynthesis is exclusive to plants only though. It starts with sunlight which goes through the Electron Transport Chains (ETC's) and then through a cycle known as the Calvin-Benson cycle to create glucose.

Cellular respiration (cell resp) takes the glucose made in photosynthesis (or in the case of humans, from our food) and takes it through the Krebs cycle (sometimes referred to as the Citric Acid cycle) to create Adenosine Triphosphate (ATP) which is used to give us energy.

Hope that helps.

an antelope moving with constant acceleration covers the distance 80.0 m between two points in time 8.00 s. its speed as it passes the second point is 16.0 m/s.

Answers

Antelope's acceleration as it passes the second point is 1.65 m/s².

Speed: The ratio of distance to time can be used to quantify speed. M/s is the S.I. unit of speed.

Newton's equation of motion yields the following: S = (v+u)t/2.

u is the starting speed, v is the final speed, and S is the distance.

Given: v = 16.0 m/s, t = 7.10 s, S = 72 m.

making u the subject of the equation,

7.1(16+u) = 72×2

113.6+7.1u = 144

7.1u = 144-113.6

7.1u = 30.4

u = 30.4/7.1

u = 4.28 m/s

Thus the speed at the first point = 4.28 m/s .

The rate at which velocity changes is known as acceleration. M/s2 is the SI unit of acceleration.

a = (v-u)/t............................ Equation 2: acceleration is given by a.

v = 16.0 m/s, u = 4.28 m/s, and t = 7.10 s are given.

Replace in equation 2

a = (16-4.28)/7.1

a = 11.72/7.10

a = 1.65 m/s²

Thus the acceleration = 1.65 m/s².

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Which of the following is not a pure form of a substance? a. Element b. Atom c. Molecule d. Mixture e. Compound

Answers

C. Mixture

This is the answer because a mixture is created of two or more elements, compounds, atoms, and molecules

At dusk, a man in a park is using binoculars big enough that they are being supported on a tripod. Based on this knowledge, what can be
Inferred about these binoculars?
OA. They have a small field of view.
OB. They use lithium Ion batteries.
OC. They have a lower than normal magnifying power.
OD. They were purchased using a research grant.

Answers

They have a lower-than-normal magnifying power. is the correct answer.

Whatever your objective, a binocular tripod enables you to focus and stay there regardless of the wind or other environmental circumstances. You can see various regions simultaneously by using a tripod to hold several lenses in focus at once. Work your way down from the top of your head to get the appropriate tripod height. About four to five inches separate your eyes from the top of your head. The tripod head is roughly 4 to 4.5 inches high, and the telescopic eyepiece is about 4 inches above the bottom of the mount plate.

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two parallel conducting plates are separated by 10.0 cm, and one of them is taken to be at zero volts. (a) what is the electric field strength (in kv/m) between them, if the potential 5.50 cm from the zero volt plate (and 4.50 cm from the other) is 470 v?

Answers

Based on the problem, the distance between two parallel conducting plate is x=10cm=0.10mx=10cm=0.10m

The electric field

a)

The potential difference is V= 593VV= 593V

The distance between is d=7.05cm= 0.705md= 7.05cm= 0.705m

Recall the expression for the electric field.

E= VdE= Vd

Substitute the given values in above equation.

E= 5930.705= 841.13V/ mE =5930.705 = 841.13V/Vmm

Thus, the electric field strength is 841.13V/m.841.13V/Vmm.

b)

Recall the term for the voltage between the plate.

ΔV= E× x ΔV= E×x

Substitute the given values in above equation.

ΔV=841.13V/m×0.10m=84.11VΔV=841.13V/Vmm×0.10m=84.11V

Thus, the voltage within the plate is 84.11V.

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A car moving with an initial speed of 16 meters per second is brought to rest uniformly in 4. 0 seconds. How far does the car travel during this 4. 0-second interval?.

Answers

The car in a time of 4 seconds will travel a distance of: 32 m

The formulas for uniformly varied rectilinear motion (UVRM) and procedures we will use to solve this exercise are:

a = (vf - vi) /tx = (vf²-vi²)/ (2a)

Where:

x = distancevf = final velocityvi = initial velocitya = accelerationt= time

Information about the problem:

vi =  16 m/svf= 0 m/st = 4 sa = ?x= ?

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 m/s - 16 m/s) /4 s

a = (-16 m/s) /4 s

a = -4 m/s²

Acceleration is negative because the car is decelerating

Applying the distance formula, we get:

x = (vf²-vi²)/ (2a)

x = [(0 m/s)²- (16 m/s)²]/ (2 * -4 m/s²)

x = (0 m²/s²- 256 m²/s²)/ -8 m/s²

x =  -256 m²/s²/ -8 m/s²

x = 32 m

What is acceleration?

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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Help me please for Number 1

Answers

The mass of the object is obtained as 130 g.

What is the tripe beam balance?

The triple beam balance is the kind of balance that could be used to measure the mass of a substance. There are so many kinds of balance that could be used in science and these include;

1) beam balance

2) Spring balance
3) unequal arm balance

We read the mass of the object by looking at all the points that we have set on the triple beam balance to achieve the balance point. In the case of the substances that we have seen in the image of the question, the mass of the object is obtained as 130 g.

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Two vectors have length v1 = 3. 5 km and v2 = 4. 0 km. What are the maximum and minimum magnitudes of their vector sum? discuss how you decided on those magnitudes

Answers

Answer:

77ruririfusjd u 6r7r u y9r8

A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, and then 6.00 blocks east. what is her resultant displacement magnitude and direction?

Answers

A girl delivering newspapers covers her route by traveling so resultant displacement is 5 blocks.

Calculation

Her net x (east-west) displacement is –3.00+0+6.00= +3.00 blocks, while her net y (north-south) displacement is 0+4.00+0=+4.00 blocks.

The magnitude of the resultant displacement is

R= [tex]\sqrt{x^{2} +y^{2} } =\sqrt{3^{2} + 4^{2} }[/tex] = 5 blocks

and the angle made by the resultant

= [tex]\theta[/tex] = [tex]tan^{-2} =[/tex] 4/3

= 53.1°

The resultant displacement is 5 blocks at 53.1°

How does displacement work?

The term “displacement” refers to a shift in an object’s position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial location to the ending place.

For instance, if an object shifts from location A to position B, its position changes.

An object’s displacement is equal to its velocity times its acceleration times its time squared plus one-half (t2).

What are distance and displacement?

A scalar quantity known as distance measures “how much ground an object has traversed” while moving.

The term “how far out of place an object is” is referred to as displacement, a vector quantity.

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By deflecting cathode rays with a magnetic field thomson was able to measure what property of electrons?.

Answers

The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.

What property of the electron did Thomson measure?

J.J. Thomson measured the electron's mass in terms of its physical characteristics.Similar experiments were conducted with cathode rays and magnets by William Crookes, who came to the conclusion that cathode rays were made up of negatively charged molecules based on his observations of the rays' deflection by magnetic fields.J.J. Thomson used a Crookes, or cathode ray, tube to conduct experiments that discovered the electron in 1897. He provided evidence that cathode rays have a negative charge.

The negatively charged electric plate is avoided in favor of the positively charged electric plate by the cathode ray. Thomson was able to estimate the mass-to-charge ratio of the particles by measuring the degree to which the ray was refracted by a magnetic field.

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A starship's engines produce 10,000 N of force. It is traveling at 10 m/s through space. If the starship drops the engine
force output to 3000 N of force, what is the ship's acceleration going to be?

Answers

If the starship drops the engine force output to 3000 N of force he ship's acceleration going to be at acceleration, a = 4.28 m/s².

Equation :

In the given equation we can see the different force working on engine so,

To find the acceleration first we need the mass of engine

Using formula,

F = m x v

10,000 - 3000 N = m x 10 m/s

7000N = m x 10 m/s

m = 700 kg

Now as we have mass of the engine,

By the formula,

a = F / m

F = 3000 N

m = 700 kg

So, putting values we have :

a = 3000 / 700

a = 4.28 m/s²

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a vector is 55.1 m long pointing in a 13.9 degree angle

Answers

The y-component of the vector is 13.24 m.

What is vector component?

Vector components allow us to break a single vector quantity into two or more scalar quantities with which we have more mathematical experience.

The two component of a vector include;

y-component of the vectorx-component of the vector

What is x-component of a vector?

The component of a vector that acts in horizontal direction is known as x-component of the vector.

What is y-component of a vector?

The component of a vector that acts in vertical direction is known as y-component of the vector.

The y-component of the vector is calculated as follows;

Vy = V sinθ

Vy = 55.1 m x sin(13.9)

Vy = 13.24 m

Thus, the y-component of the vector is 13.24 m.

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The complete question is below:

a vector is 55.1 m long pointing in a 13.9 degree angle. Find the y-component of the vector.

One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.

Answers

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

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Does the intitial velocity of an object have anything to do with its acceleration?

Answers

Answer: Initial velocity is independent of the slope of the graph; that is, the acceleration. An object thrown downward still accelerates after release at the same rate as an object that is dropped.

Explanation: hope this helps

No.

A stone has the SAME acceleration whether you throw it down, throw it up, throw it sideways, or just drop it.

YOU decide the stone's initial velocity, but it always has the same acceleration after it leaves your hand.

the resistance of two conductors of equal cross-sectional area and equal lengths are compared, and are found to be in the ratio 1:2. the resistivity of the materials from which they are constructed must therefore be in what ratio?

Answers

The resistivity of the materials must be constructed  in ratio A₂ = 2A.

What is Resistivity?

The resistance of a wire can be defined as

R = ρL/A

Where,

ρ is Resistivity

L is Length of the conductor

A is Area of cross section of the conductor.

R₁/R₂ = (L₁/L₂) × (A₂/A₁)  ----> rearranging it for A

A₂ = (R₁/R₂) × (L₂/L₁) × A₁  

A₂ = (R/R) × (2L/L) × A  

A₂ = 2A

Therefore, cross section area of another conductor must be 2A.

The strength with which a substance resists electric current is known as electrical resistivity, which is a fundamental attribute of materials. A substance that permits electric current to flow easily has a low resistance. The Greek letter is often used to symbolize resistivity. The ohm-meter is the SI unit used to measure electrical resistivity.

A substance's ability to resist the flow of current, or electrons, can be characterized as a physical attribute. A specific substance with specific dimensions is distinguished by its physical property of resistivity.

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Ammonia is a weak bas. Potassium hydroxide is a strong base. Which statement is correct?

A solution of potassium hydroxide will always have greater productivity than a solution of ammonia
A solution of potassium hydroxide will always have a lesser concentration of salute in a solution of ammonia
A solution of potassium hydroxide will always have a higher pH of a solution of ammonia
A solution of potassium hydroxide will always have more OH negative ions in a solution of ammonia

Answers

the answer is a solution of potassium hydrogen will always have a higher pH of a solution of ammonia

Ammonia is a weak base and Potassium hydroxide is a strong base, then then the solution of potassium hydroxide will always have a higher pH than a solution of ammonia, therefore the correct answer is option C.

What is a Chemical compound?

A chemical compound is a combination of two or more  either similar or dissimilar chemical elements.

As given in the problem, ammonia is a weak base. Potassium hydroxide is a strong base then we have to find out which statement is correct from the given list of statements,

Since ammonia is a weak base and potassium hydroxide is a strong base, their solutions will always have a higher pH than ammonia solutions. Option C is the right response.

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PLEASE HELP
Obtain expressions in component form for the position vectors having the following polar coordinates.

Answers

After conversion into cartesian coordinates, we can write the position vectors as -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

What are cartesian coordinates?

Cartesian coordinates are two-dimensional coordinates which are used to represent a point in X-Y plane. They are, in general, written in the form (x, y),  such that x is the horizontal distance of point from origin and y is the vertical distance of point from origin.

Given are the position vectors in polar coordinates of three points in X-Y coordinate system.

It is important to remember the following relations, in order to transform from polar coordinates (r, θ) into cartesian coordinates (x, y) -

x = r cosθ

y = r sinθ

a) → r = 12.4 m , θ = 170°

x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21

y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15

In cartesian form → ( -12.21 i + 2.15 j )

b) → r = 4 cm , θ = 50°

x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57

y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06

In cartesian form → ( 2.57 i + 3.06 j )

c)r = 20 inches , θ = 210°

x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32

y = 20 x sin (210°) = 20 x -0.5= -10

In cartesian form → ( -17.32 i - 10 j )

Therefore, in two - Dimensional cartesian system, we can write the position vectors as -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

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calculate the frequency of each wavelength of electromagnetic radiation: 632.8 nm (wavelength of red light from helium–neon laser) 503 nm (wavelength of maximum solar radiation) 0.052 nm (wavelength contained in medical x-rays)

Answers

the frequency of each wavelength of electromagnetic radiation is

A)frequency of wavelength 632.8nm(red light from helium–neon laser)

is 4.738×10¹⁴ s⁻¹

B)frequency of wavelength 503 nm (maximum solar radiation)

is5.960×10¹⁴ s⁻¹

C)frequency of wavelength 0.052nm (medical x-rays)

is5.765×10¹⁸s⁻¹

A)

632.8 nm (wavelength of red light from helium–neon laser)

1 nm = 10⁻⁹ m

632.8 nm = 632.8×10⁻⁹ m = 6.328×10⁻⁷ m

The speed of light is c = 2.998×10⁸ m/s

λ = 6.328×10⁻⁷ m

the frequency can be calculated as

ƒ = c / λ

ƒ = (2.998×10⁸m/s) / (6.328×10⁻⁷ m)

ƒ = 4.738×10¹⁴ s⁻¹

frequency of wavelength 632.8nm is 4.738×10¹⁴ s⁻¹

B)

503 nm (wavelength of maximum solar radiation)

1 nm = 10⁻⁹ m

503 nm = 503×10⁻⁹m = 5.03×10⁻⁷ m

c = 2.998×10⁸ m/s

λ = 5.03×10⁻⁷ m

the frequency can be calculated as;

ƒ = c / λ

ƒ = (2.998×10⁸ m/s) / (5.03×10⁻⁷m)

ƒ = 5.960×10¹⁴ s⁻¹

frequency of wavelength 503 nm is5.960×10¹⁴ s⁻¹

C)

0.052 nm (wavelength contained in medical x-rays)

1 nm = 10⁻⁹ m

0.0520 nm = 0.0520×10⁻⁹ m = 5.20×10⁻¹¹m

Where the speed of light is

c = 2.998×10⁸ m/s

λ = 5.20×10⁻¹¹ m

the frequency can be calculated as

ƒ = c / λ

ƒ = (2.998×10⁸ m/s) / (5.20×10⁻¹¹ m)

ƒ = 5.765×10¹⁸s⁻¹

frequency of wavelength 0.052nm is5.765×10¹⁸s⁻¹

A)frequency of wavelength 632.8nm(red light from helium–neon laser)

is 4.738×10¹⁴ s⁻¹

B)frequency of wavelength 503 nm (maximum solar radiation)

is5.960×10¹⁴ s⁻¹

C)frequency of wavelength 0.052nm (medical x-rays)

is5.765×10¹⁸s⁻¹

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