A source of sound produces a note of 512 Hz in air at 17 degree celsius with wavelength 66.5 cm. Find the ratio of molar heat capacities at constant pressure to constant volume at NTP. Densities of air and mercury at NTP are 1.293 kg/m^3 and 13600 kg/m^3 respectively.​

Answers

Answer 1

Answer:

a. 0.32 b. 1448 m/s

Explanation:

We know v ∝ √T where v = velocity of sound and T = absolute temperature.

Let v₁ = velocity of sound at 17°, v₁ = fλ where f = frequency of sound = 512 Hz and λ = 66.5 cm = 0.665 m

So, v₁ = fλ = 512 Hz × 0.665 m = 340.48 m/s

T₁ = 17 + 273 = 290 K

Let v₂ = velocity of sound in air at NTP = unknown and T₂ = temperature at NTP = 0°C + 273 = 273 K

Now v₁/v₂ = √T₁/√T₂

So, v₂ = (√T₂/√T₁)v₁

= [√(T₂/T₁)]v₁

substituting the values of the variables, we have

v₂ =  [√(273 K/290 K)]340.48 m/s

v₂ =  [√0.9413]340.48 m/s

v₂ = (0.9702)340.48 m/s

v₂ = 330.35 m/s

Also v = √(γP/ρ) where v = velocity of sound in air at NTP  = 330.35 m/s, γ = ratio of molar heat capacities, P = pressure at NTP = 1.013 × 10⁵ Pa and ρ = density of air = 1.293 kg/m³

Since,  v = √(γP/ρ)

making γ subject of the formula, we have

γ = v²ρ/P

substituting the values of the variables, we have

γ = (330.35 m/s)² × 1.293 kg/m³/1.013 × 10⁵ Pa

= 31975.36 kg/m²s² ÷ 1.013 × 10⁵ Pa

= 0.32

b. Speed of sound in mercury v₃ = √(B/ρ) where B = Bulk modulus of mercury = 28.5 × 10⁹ Pa and ρ = density of mercury = 13600 kg/m³

v₃ = √(B/ρ)

= √(28.5 × 10⁹ Pa/13600 kg/m³)

= √(28.5 × 10⁹ Pa/13.6 × 10³ kg/m³)

= √(2.096 × 10⁶) m/s

= 1.448 × 10³ m/s

= 1448 m/s


Related Questions

A a healthy diet and exercise have an impact on the overall health of
the body. While your digestive and respiratory systems seem very
separate in their activities, in reality, the systems work together in
several ways. Which of these correctly pairs a body system with it's
function? All BUT ONE may apply.

Answers

Answer:

This would be answer choice A

The digestive system breaks large nutrient molecules into smaller ones that are absorbed into the bloodstream. So, the correct option is A.

What is meant by metabolism ?

Metabolism is defined as the mechanism of the body by which the energy is produced from the food we eat, through some chemical reactions.

Here,

The overall proper health of the body is attained through having proper diet and regular exercise. In order to maintain the health, several physiological activities occurs in our body simultaneously.

Metabolism is one of the main physiological mechanism in our body, by which the food we eat is being converted into energy which is necessary for the growth and proper functioning of our body cells and organs.

Digestion is the important process of metabolism.

Digestion is the process by which the large, insoluble food molecules we consume, are broken down into smaller, water-soluble molecules, so that  it can be easily absorbed into the blood plasma.

The different steps of digestion are ingestion, propulsion, mechanical digestion, chemical digestion, absorption and defecation.

Hence,

The digestive system breaks large nutrient molecules into smaller ones that are absorbed into the bloodstream.

To learn more about metabolism, click:

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Calculate the amount of kinetic energy a 50 kg runner has when he is going 2 m/s.
Equation: KE = 1/2mv2

Answers

Given:

Mass of the runner (m) = 50 kg

Speed of the runner (v) = 2 m/s

Equation:

[tex] \rm KE = \dfrac{1}{2} mv^2[/tex]

Answer:

By substituting values in the equation, we get:

[tex] \rm KE = \dfrac{1}{2} \times 50 \times 2^2 \\ \\ \rm = \dfrac{1}{2} \times 50 \times 4 \\ \\ \rm = 25 \times 4 \\ \\ \rm = 100 \: J[/tex]

[tex] \therefore [/tex] Kinetic energy of the runner = 100 J

Answer:

Given,

mass(m)=50kg

velocity(v)=2m/s

kinetic energy(K.E.)=?

We know that K.E.=1/2mv2

KE=1/2×50×2^2

Explanation:

=1/2×200

=100 Joule

7- A mass initially at O moves 10.0 m to the east and then 5.0 m to the
north. What is the final displacement of the mass?​

Answers

Answer:

15.0m

Explanation:

10.0+5.0

=15.0m

The deep interior of the Earth cannot be mapped using seismic waves . true or false ?

Answers

Answer: The answer is false.

why are magnetic materials attracted to magnets​

Answers

Hello!

Topic: Magnetic material

Why are magnetic materials attracted to magnets?

Because when you expose any magnetic material to a magnetic field, magnetc material atoms start to align their electrons, because they flow by magnetic fields.

Then the atoms reacts to the field, and try to get together to the magnetic electrons field.

Thats why magnetic materials are attracted to magnets.

HELP!!!!!!!!!!!
The earliest multi celled organisms on Earth were:
a
Bacteria
b
Vertebrates
c
Invertebrates
d
Plants

Answers

Answer:

Bacteria

Explanation:

Answer:

The answer is bacteria.

Explanation:

Bacteria were the first known multi-celled organism on Earth.

A toy car with an initial velocity of 5 m/s slows to a stop with an acceleration of -1.5 m/s^2.
What is your car's initial velocity?

What is the car's final velocity?

What is the acceleration of the car?

Write the equation you will use to solve this problem.

What is the displacement of the toy car?
4.8 m
8.3 m
16.7 m
21.4 m

Answers

Car's Initial velocity (u) = 5 m/s

Car's Final velocity (v) = 0 m/s (Stop)

Acceleration of the car (a) = -1.5 m/s²

Equation used to solve this problem:

[tex] \boxed{ \bf{ {v}^{2} = {u}^{2} + 2as}}[/tex]

By substituting values in the equation, we get:

[tex] \rm \longrightarrow {0}^{2} = {5}^{2} +2 \times ( - 1.5) \times s \\ \\ \rm \longrightarrow 0 = 25 - 3s \\ \\ \rm \longrightarrow 25 - 3s = 0 \\ \\ \rm \longrightarrow 25 - 25 - 3s =0 - 25 \\ \\ \rm \longrightarrow - 3s = - 25 \\ \\ \rm \longrightarrow 3s = 25 \\ \\ \rm \longrightarrow \dfrac{3s}{3} = \dfrac{25}{3} \\ \\ \rm \longrightarrow s = 8.3 \: m[/tex]

[tex] \therefore [/tex] Displacement of the toy car (s) = 8.3 m

A block slides across a flat, horizontal surface to the right. For each choice, the arrows represent velocity vectors of the block at successive intervals of time. Which of the following diagrams represents the situation in which the block loses kinetic energy?

Answers

The diagrams the question refers to is in the attachment.

Answer: Third diagram or alternative C.

Explanation: In physics, vector is a representation of magnitude and direction.

Kinetic Energy is energy made by a moving object, i.e., when an object with mass has velocity, it also has Kinetic Energy. It's calculated as:

[tex]K=\frac{1}{2}mv^{2}[/tex]

Vectors below are representing change in velocity during intervals of time.

In the first diagram, vectors doesn't change, so velocity and kinetic energy are constant.

At the second, velocity still constant, however, the "intensity" of the arrow is weaker than the first, which means velocity is less than the first diagram and so is its kinetic energy.

In the fourth diagram, the arrows grow bigger from left to right. This means velocity increases during time. If velocity grows bigger, so does kinetic energy.

In the third diagram, the arrows decrease as it goes to the right: the block's velocity decreases during the successive intervals, which means, kinetic energy diminishes through the interval.

Thus, diagram C represents the situation in which the block loses kinetic energy.

You are trying to tune the fifth string on your guitar, which is supposed to sound the A2 note (i.e., a note two octaves below A4). If the part of your guitar string in between where it is held down is 1.2 m and it has a mass of 0.006 kg, how much tension should you put the string under to get the right tuning?

Answers

Answer:

The value is  [tex]T = 288 \ N[/tex]

Explanation:

From the question we are told that

    The length of the guitar string considered is  [tex]L = 1.2 \ m[/tex]

     The mass is [tex]m = 0.006 \ kg[/tex]

Generally the tension is mathematically represented as

       [tex]T = 4f ^2 m* L[/tex]

Here f is the frequency of the [tex]A_2[/tex] note which is  [tex]f= 110 \ Hz[/tex]

So

     [tex]T = 4* 110 ^2 * 0.006* 1.2[/tex]

=>  [tex]T = 288 \ N[/tex]

Name and draw the circuit symbols for the
two pieces of equipment used to measure
current and voltage.

Answers

Answer:

here is the answer its a picture

Explanation:

A skateboard rolls off a horizontal ledge that is 1.12 m high, and lands
1.48 m from the base of the ledge.
How much time was he in the air?
(Unit = s)

Answers

vertical V is 0 at the start
Y = Vyi t + 1/2 g t^2
-1.12 = 0 + 1/2 (-9.81) t^2
t^2 = 0.2283
t = 0.478 s

a vector needs to be divided into components when ?

Answers

Answer:

Calculating the magnitude of a vector is only the beginning. The magnitude function opens the door to many possibilities, the first of which is normalization. Normalizing refers to the process of making something “standard” or, well, “normal.” In the case of vectors, let’s assume for the moment that a standard vector has a length of 1. To normalize a vector, therefore, is to take a vector of any length and, keeping it pointing in the same direction, change its length to 1, turning it into what is called a unit vector.To normalize a vector, simply divide each component by its magnitude. This is pretty intuitive. Say a vector is of length 5. Well, 5 divided by 5 is 1. So, looking at our right triangle, we then need to scale the hypotenuse down by dividing by 5. In that process the sides shrink, divided by 5 as well.

I hope this is helpful, Have a Great Day!!

it is dangerous to stand near the railway leak when train passing by,why?​

Answers

It is dangerous to stand close to railroad tracks when a rapidly moving commuter train passes. Explain why atmospheric pressure would push you toward the moving train. Water pressure inside a hose nozzle can be less than atmospheric pressure due to the Bernoulli effect.

Pls brainliest!? :)

How fast does lightning move?
90,000 miler per hour
125,000 miles per hour
175,000 miler per second
90,000 milers per second

Answers

Answer:

about 186,000 miles per second

Explanation:

so your closest bet is probably 175 miles per second

Answer:

Correct answer is 90,000 miles PER SECOND

Explanation:

Why might a material transmt some waves, while absorbing or reflecting other waves ​

Answers

Answer:

Because the different waves will feel like to bounce off to different directions, and different items will do different actions.

Which of the following is not true about arid deserts?

a.
They can be found in North America.
b.
The rain falls mostly as snow during the winter.
c.
They are very hot and dry.
d.
The rain often evaporates before it hits the ground.


Please select the best answer from the choices provided
A
B
C
D

Answers

Answer:  B    | The rain falls mostly as snow during the winter.

On land, the most massive concrete block you can carry is 25 kg. Given concrete’s 2200‐ kg/m3 density, how massive a block could you carry underwater

Answers

Answer:

46kg approx.

Explanation:

Given data

Density of concrete  ρ_c=2200kg/m3

Mass of concrete m_c= 25kg

In water

[tex]F_{P2} + F_{app}-m_{cg}=0[/tex]

[tex]F_{app}=m_{cg}-F_{P2}[/tex]

Max Fapp = 25*g

Buoyancy force

[tex]F_{P2} = \rho WgV_c= \rho Wg\frac{\rho_c}{m_c}\\\\F_{ p2}= \rho Wg\frac{\rho_c}{m_c}[/tex]

[tex]25*g=m_cg- \rho W g\frac{mW}{\rho_c}= m_cg(1- \frac{\rho W}{\rho_c} )[/tex]

[tex]m_c=25( \frac{\rho_c}{\rho_c- \rho W} )[/tex]

substitute

[tex]m_c=25( \frac{2200}{2200- 1000} )\\\\m_c=25*1.833\\\\m_c=45.8[/tex]

=46kg approx.

What is an inexpensive, portable, and common way to assess body fat in the fitness industry?

DEXA
Bioelectrical impedance
Skinfold testing
Hydrostatic weighing

Answers

Answer: Skinfold testing

Explanation:

Skinfold testing, is also referred to as calliper testing and it's used to know the body fat percentage. Skinfold testing is an inexpensive, portable, and common way to assess body fat in the fitness industry.

It is typically done with the use of caliper tapes, marker pens which makes it cheap. Skinfold testing isn't usually accurate which is as a result of human errors.

The diagram shows the top view of a 65-kg student at point A on an amusement park ride. The ride spins the student in a horizontal circle with a radius of 2.5 m, at a constant speed of 8.6 m/s. The floor is lowered and the student remains against the wall without falling to the floor.

The magnitude of the centripetal force acting on the student at point A is approximately

Question 4 options:

1398 N

47 N

223 N

1923 N

Answers

Answer:

1923 N

Explanation:

From the question given above, the following data were obtained:

Mass (m) = 65 Kg

Radius (r) = 2.5 m

Velocity (v) = 8.6 m/s

Centripetal force (F) =?

The centripetal force, F, can be obtained by using the following formula:

F = mv²/r

F = 65 × 8.6² / 2.5

F = 65 × 73.96 / 2.5

F = 4807.4 / 2.5

F = 1922.96 ≈ 1923 N

Thus, the magnitude of the centripetal's force acting on the student is approximately 1923 N

According to the law of conservation of energy, which statement must be
true?
A. Energy that is transferred cannot be transformed into a different
type of energy.
O B. The total energy of a system can increase only if energy enters the
system.
C. The total energy in a system can only decrease over time.
O D. A system cannot take in additional matter.
SIR

Answers

The law of conservation of energy states that energy cannot be created or destroyed but can be changed from one form to another.
So because of that the answer is B.

Hope this helps!!!

Answer: B

Explanation:

A ball is still live when
1. A hand off has been dropped
2. The quarterback does not catch the snap
3. Both A and B

Answers

It’s both A and B, because technically whenever you drop the ball. It’s called a fumble, and whenever the qb does not catch the snap, the defenders go for it and huddle it so it’s 100% A and B

Which refers to the area on the thermometer marked with the letter A? scale bulb mercury strip number line

Answers

Answer:

The answer is numberline, D

Explanation:

I got it right on edge

Answer:

A

Explanation:

Scale

Got it right on Edge:)

What experimental evidence led to the development of the atomic model before the one before it?

Answers

Rutherford's experimental evidence led to the development of this atomic model from the one before it. According to him, a few of the positive particles pointed at a gold foil appeared to ricochet back off of the light metallic foil. This experimental evidence gives the root the development of the atomic model.

5. bending the electric wire a.change in size
b.change in shape
c.change in texture​

Answers

Answer:

change in shape

hope this will help you

5. A baseball player bats a ball with a force of 1,000 N. The ball exerts a reaction force against the bat
of...
a. Less than 1,000 N
b. More than 1,000 N
c. 1,000 N
Why???

Answers

Explaining the concept:

Reaction force is the equal and opposite force applied by an object after we apply some force to it

This is explained in the Newton's Third Law of Motion, which says: "For every action, there is an equal and opposite reaction"

This means that any force we apply on an object, it applies the same force on us

Reaction Force exerted by the ball:

We now know what a reaction force is. Now looking at the scenario, we can see that the player applied a force of 1000N on the ball using his bat

The ball will also apply an equal and opposite force on the Bat,

So, the ball will apply a force of 1000N on the Bat

Therefore, Option C is correct

PLZZ ANSWER THE QUESTION ​

Answers

I think the answer is D
(I’m sorry if I’m wrong)

What is acceleration

Answers

[tex]{\tt{\red{\underline{\underline{\huge{Answer:}}}}}}[/tex]

[tex]\longrightarrow[/tex] The rate of change of velocity per unit time is called acceleration.

[tex]\longrightarrow[/tex] Its SI unit is m/s².

[tex]\huge\boxed{\fcolorbox{blue}{red}{Thank you}} [/tex]

The rate of change of velocity is called acceleration.

Describe the three times acceleration can happen

Answers

Answer:

There are three ways an object can accelerate: a change in velocity, a change in direction, or a change in both velocity and direction.

Explanation:

There are three ways an object can accelerate by a change in velocity, a change in direction, or a change in both velocity and direction.

What is acceleration?

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a =  (Δv) / (Δt)

The change in velocity will change the acceleration. As, the acceleration is vector quantity, its direction change will also change the acceleration.

And both the change in velocity and direction will have effect on acceleration.

Learn more about acceleration.

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two boats are anchored in the harbor, separated by a horizontal distance of 12m. the boat bob up and down as waves enter

Answers

i believe the answer is okay and

The structure of the NaCl crystal forms reflecting planes 0.541 nm apart. What is the smallest angle, measured from these planes, at which constructive interference of an X-ray beam reflecting off the two planes is observed?

Answers

Answer:

[tex]\theta=4.5^{\circ}[/tex]

Explanation:

Given that,

The distance between reflecting planes is 0.541 nm, d = 0.541 nm

Let the wavelength is 0.085 nm

We need to find the smallest angle, measured from these planes, at which constructive interference. Using Bragg's equation to find it as follows :

[tex]m\lambda=2d\sin\theta[/tex]

For smallest angle, m = 1

[tex]\theta=\sin^{-1}(\dfrac{m\lambda}{2d})\\\\\theta=\sin^{-1}(\dfrac{1\times 0.085\ nm }{2\times 0.541\ nm })\\\\\theta=4.5^{\circ}[/tex]

So, the smallest angle is 4.5 degrees.

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