Suppose A=B^nC^m, where A has dimensions, LT, B has dimensions L^2T^-1 and C has dimensions LT^2. Determine the dimensions of n and m values.

Answers

Answer 1

Answer:

n = 1/5 and m = 3/5

Explanation:

The given quantity is :

[tex]A=B^nC^m[/tex]

Where

The dimension of [A] = [LT]

The dimension of [B] = [L²T⁻¹]

The dimension of [C] = [LT²]

We need to find the dimensions of n and m values.

Using dimensional analysis,

[tex][LT]=[L^2T^{-1}]^n[LT^2]^m\\\\\ [LT]=L^{2n}T^{-n}\times L^mT^{2m}\\\\\ [LT]=L^{2n+m}T^{2m-n}[/tex]

Comparing both sides,

2n+m=1 ....(1)

-n+2m=1 ,.....(2)

Solving (1) and (2), we get :

n = 1/5 and m = 3/5

Hence, this is the required solution.


Related Questions

PLZ HELP I DONT KNOW THIS ONE
Some ancient objects have been well-preserved in high mountain ranges,
where the concentration of oxygen is low. Otzi the Iceman lived more than
5,000 years ago. Archaeologists found him with his leather pouch, clothes,
and tools perfectly preserved in the ice of the Alps.
Marie's mother lost a leather purse in the yard of their house in Florida, where
the air has more oxygen. Marie found it 30 years later under a tree. It was
rotted and decayed.
Review the information in the data table. What does this information tell you
about the rate of decay reactions relative to the concentration of oxygen?

Answers

Answer:

yeah

Explanation:

The information tells you about the rate of decay is that in Florida the reaction occurs more slowly when there is less oxygen in the air.

What is the rate of decay?

The reduction in the number of radionuclides per unit time is the rate of decay.

The following table shows that the rate of decay only depends upon the level of oxygen. In Florida concentration of the oxygen in the air is high

Due to this the decay time is less.

The decay time is inversly propotional to the rate of decay. In Florida the rate of decay is high.

Hence the information is that reaction occurs more slowly when there is less oxygen in the air.

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A car is moving at 5 m/s at first hill, h= 20 meters.
(a) Determine the speed of the car at C point.
(b) Determine the speed of the car at B point.

Answers

The answers A determine the speed of the car at

What is the characteristic of the columns in the periodic table?

Answers

Answer: The periodic table also has a special name for its vertical columns. Each column is called a group. The elements in each group have the same number of electrons in the outer orbital.

Explanation: :)

how much does the angle of refraction change from 380nm to 700nm when the incident angle is 80?

Answers

Answer:

35 degrees

Explanation:

The incident angle, an 80-degree angle, and as the angle of incidence increases, the amount of refraction also increases. So, we can expect a significant change in the angle of refraction from blue to red light at an 80-degree angle of incidence.

What is refraction?

Refraction refers to the bending of light when it passes from different mediums.The amount of refraction that occurs at an interface between two materials depends on the wavelength of light, the angle of incidence, and the properties of the materials. The relationship between these factors is described by Snell's law:

n1 sinθ1 = n2 sinθ2

where n1 and n2 are the refractive indices of the two materials, θ1 is the angle of incidence, and θ2 is the angle of refraction.

For a given angle of incidence, the amount of refraction that occurs is greater for shorter wavelengths (i.e., blue light) than for longer wavelengths (i.e., red light). This effect is known as dispersion, and it is why we see rainbows when sunlight is refracted through water droplets.

In the absence of any information about the properties of the materials involved, we can assume that the amount of refraction will increase as the wavelength decreases.

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If you go twice as fast, your kinetic energy becomes.


A.2 times smaller

B.4 times smaller

C.2 times bigger

D.4 times bigger

Answers

The answer is c.two times bigger

Define centre of mass.​

Answers

Answer:

The center of mass is a position defined relative to an object or system of object

PLZZZZ HELPPPPPP MEEEEEE!!!!!! ASAP!!! ILL GIVE 20 POINTS AND BRAINLIEST!!!
:'(
I am soooooooooooo desperate.

Answers

Answer:

the answers the correct one is C

Explanation:

In radioactive decay processes, a very important concept is the half-life time, which is the time it takes for the parent nuclei to decompose into child nuclei.

expressed this mathematically is

              N = N₀ [tex]e^{- \lambda t}[/tex]

for the average life time

              N₀ / 2 = N₀  [tex]e^{- \lambda T_{1/2}[/tex]

               T =[tex]\frac{ln 2x}{ \lambda}[/tex]

Analyzing this expression, the nuclei that decay are the so-called parents and the new nuclei called children appear.

when checking the answers the correct one is C

Mark Brainiest if right plzz. Noah wants observe what happens when zinc is placed in a solution of
copper sulfate, as shown in the photo. But when he tries it, nothing happens.
He knows that the reaction might be happening too slowly to see results in a
few minutes. Which action should Noah take to speed up the reaction?
A. Replace the piece of zinc with a larger piece.

B. Decrease the concentration of the copper sulfate solution

C. Decrease the temperature of the solution.

D. Increase the concentration of the copper sulfate solution.​

Answers

Answer:

A. the place that piece of with a larger piece

Explanation:

Sana nakatulong

Answer:

D. Increase the concentration of the copper sulphate.

How much work does a 120 watt motor perform for 300 seconds?
PLEASE I NEED HELP
and please don't add some site

Answers

Answer:

36,000j

Explanation:

W= P•t

120•300= 36000

I checked my answer with P= W/t and got the right answer

hope this helps

6CO2 + 6H20 → C6H12O6 + 602
What type of model is shown?
a
b
computer model
conceptual model
physical model
C
mathematical model

Answers

Answer:

C. physical model

Explanation:

Sana nakatulong

help please
which of the following reacts with most metals to form Hydrogen gas
A.acids
B.Bases
C.acids&bases

Answers

Answer:

acid and bases

Explanation:

How much acceleration does a car need if it is to go a distance of 620 ft. In a time of 20 sec while it is speeding up

Answers

31ft/second . 620/20


A sub-woofer is a type of speaker which plays only the very low notes in a song or movie. Which of the following frequencies would you expect to be able to hear from a sub-woofer?
A. 10 Hz
B.25 Hz
C. 750 Hz
D. 1000 Hz

Answers


The answer will be 25 Hz


A toy train moves round a circular track of radius 0.50 m.
How many radians has the trained turned through in moving 1.4 m along a track?

Answers

Answer:

2.8 radians

Explanation:

[tex]s = r \beta \\ 1.4 = 0.50 \beta \\ \beta = 2.8 \: rad[/tex]

The Circulatory System is made up of ?

A Blood and Lungs

B Heart and Blood Veins

C arteries, veins, and heart

Answers

C, im pretty sure it should be

Work done depends on
A. Force
B. Displacement
C. Both force and displacement
D. Neither force nor displacement

Answers

Answer:

C. Both force and displacement

Explanation:

Hope this helps

Need help pls. It is for acellus

Answers

Answer:

The height of the water column = 1.62405[tex]\overline{30}[/tex] × 10⁻¹ m

Explanation:

The air cavity in the Coke bottle = 0.220 m deep

The fundamental (frequency) it plays when water is added to shorten the column and it is blown across the top, f = 528 Hz

The given speed of sound in air, v = 343 m/s

We note that the air cavity in the coke bottle is equivalent to a tube closed at one end

The fundamental frequency for a tube closed at one end, 'f', is given as follows;

f = v/(4·L) = v/λ

Where;

L = The height of the water column

λ = The wavelength of the wave

∴ 4·L = v/f = (343 m/s)/(528 Hz) = 0.6496[tex]\overline{21}[/tex] m

∴ L = 0.6496[tex]\overline{21}[/tex] m/4 = 0.162405[tex]\overline{30}[/tex] m

The height of the water column = 1.62405[tex]\overline{30}[/tex] × 10⁻¹ m.

Answer:

0.058

Explanation:

got it right on acellus

Can someone please explain this to me?

Answers

Answer:

the anser should be d

Explanation:

7. What is the climate like on Mars?

Answers

Answer:

Temperatures on Mars average about -81 degrees F. However, temperatures range from around -220 degrees F. in the wintertime at the poles, to +70 degrees F.

Explanation:

someone pls answer! i will give u brainliest

Answers

Answer:

Liquid

Explanation:

Before anything evaporates, it is in a liquid state.

I think it’s liquid.

A spherical conducting shell has charge -5 C. A particle with charge -8 C is placed at the center of the cavity. The charges (in C) on the inner surface and on the outer surface of the shell, respectively, are:

Answers

Answer:

Explanation:

The charge of - 5C will be spread  on the outer surface of the shell . The presence of - 8C charge at the Centre will create + 8C charge on the inner surface and - 8C charge on the outer surface . The result is that the total charge on the outer surface of the shell will be - 5C + - 8C = - 13C and the inner surface will have charge of + 8C . + 8C charge will be locked to centrally situated - 8C charge and will not be neutralized by negative charge of outer surface .

A graph with resistance in ohms on the x-axis from 0 to 200 and current in amps on the y-axis from 0 to 5. The graph is labeled as current as a function of resistance at 50 V. Points are plotted at (10, 5), (20, 2.5), (100, .5) and (200, .25). There is an inverse curve through the points. Use the graph to answer the questions. Based on the graph, what happens to current as resistance increases? This type of graph shows which type of relationship between the two variables? What would be a reasonable estimate for current at a resistance of 50 Ω?

Answers

Answer:

1. decreases

2. inverse proportionality

3. 1 A

Explanation

Just did it

Answer:

1. decreases

2. inverse proportionality

3. 1 A

Explanation

Just did it

A force of 20 N acts upon a 5000g block. Calculate the acceleration of the object

Answers

Answer:

a = 4 m/s²

Explanation:

Given: 5000 g, 20N  

To find: Acceleration (a)  

Solution: Firstly, convert 5000g to kilograms

1000g = 1kg

∴ 5000g = 5kg if divided by 1000

A = F ÷ m

=  20 ÷  5  

= 4 m/s²

Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.

PLEASE HELP (NO LINKS!)As the pendulum swings from position A to position B, what is the
relationship of kinetic energy to potential energy (neglect friction)? (5
points)
The kinetic energy increase is equal to the potential energy decrease.
The potential energy increase is equal to the kinetic energy decrease.
The kinetic energy and potential energy remain the same.
The kinetic energy increase is more than the potential energy decrease.

Answers

Answer:

the kinetic energy decrease is equal to potential energy increase

If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.

what is conservation of energy?

According to the work power theorem the total energy of any object will remain constant like the sum of the kinetic and the potential energy of the object will remain constant.

The potential energy of any object is due to its position with respect to the ground. If the object is at a height of H then it will have a potential energy because some energy is given to that object against the gravity to move it to the height H.

The kinetic energy is the energy due to the velocity of the object and is given as the product of half mass to the velocity square.

Now we will express it in the form of the formula for better understanding .

[tex]\rm Total\ energy= KE+PE[/tex]

Now in the pendulum the motion is back and forth with respect to its mean position. So the total energy in the pendulum is the sum of the kinetic energy and the potential energy.

Now if the pendulum attains the maximum displacement from its mean position then it will have maximum potential energy and zero kinetic energy at this point.

Now if the pendulum is at the mean position now it will have maximum kinetic energy and zero potential energy at this point.At this point the potential energy totally converted to the kinetic energy.

Now at the maximum displacement the kinetic energy totally converts into the potential energy of the pendulum.

Thus If the potential energy of pendulum increases then the kinetic energy decreases and if the kinetic energy increases then the potential energy decreases.

To know more about Conservation of energy follow

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A plastic rod is rubbed with a cloth and becomes positively charged. After charging, the rod is held close to the suspended table-tennis ball shown in Fig. 9.1. The table-tennis ball is covered with metal paint and is uncharged.


Describe what happens to the charges on the metal-painted table-tennis ball as the positively-charged rod is brought close to the ball.

Answers

Charges on the metal painted table-tennis ball gain charges from the positively charged rod and becomes positively charged

Why the surface of Mars is red?​

Answers

Answer:

Because the iron oxide chemicals in its soil looks like rust.

Answer:

Hey mate.....

Explanation:

This is ur answer.....

Mars is known as the Red Planet because the iron oxide chemicals in its soil looks like rust. The simple explanation for the Red Planet's color is that its regolith, or surface material, contains lots of iron oxide — the same compound that gives blood and rust their hue.

Hope it helps!

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where would you feel the most motion?​

Answers

Answer:

A

Explanation:

since its the tip, you will feel it the most there.

A stationary hockey puck has a mass of 0.27 kg. A hockey player uses her stick to apply a 18 N force over a distance of 0.42 m. How much work does this force do on the puck?

Group of answer choices

7.6 J

-43 J

-7.6 J

28 J

43 J

Answers

W=Fs
W=18(0.42)
W=7.56

Answer: 7.6 J (first option)

Whose atomic theory explains how atoms emit (release) and absorb light?
Bohr’s
Dalton’s
Rutherford’s
Thomson’s

Answers

Answer:

Bohr’s

Explanation:

Answer:

A

Explanation:

What is the difference between Gravitational Potential Energy and Potential
Energy?

Answers

Answer:

Potential basically tells us the ability of an object to do some work. And Potential energy is the amount of energy it acquires due to that Potential difference.

Explanation:

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