In a student lab experiment, 5.3 MeV alpha particles from the decay of 210Po are directed at a piece of thin platinum foil. If an alpha particle is directed straight toward the nucleus of a platinum atom, what is the distance of closest approach? How does this compare to theapproximately 7 fm radius of the nucleus?

"The human perception of pitch primarily depends on frequency. " The correct answer is option: D.

Pitch refers to the subjective quality of sound that enables us to distinguish between high and low sounds. Frequency is physical property of sound that measures the number of cycles of vibration per second and is measured in hertz. The higher  frequency of a sound wave, the higher  pitch we perceive. This is because our ears are sensitive to different frequencies and can distinguish between them based on activity of the hair cells in  cochlea of the inner ear. While loudness, resonance, and intensity can also affect our perception of sound, they are not  primary factors that determine pitch. Hence correct answer is option: D.

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---The complete question is , The human perception of pitch primarily depends on __.

A. Loudness

B. resonance

C. intensity

D. frequency --

a. The FM radio station emits approximately 2.46 x 10^26 photons per second.

b. The broadcast should be treated as an electromagnetic wave rather than discrete photons because at the macroscopic level, the behavior of electromagnetic waves is more evident and practical in the context of radio transmission.

a. To calculate the number of photons emitted per second, we can use the relation between power and energy of photons. The power of the FM radio station is given as 10 kW.

We know that energy is directly proportional to the number of photons, and power is the rate at which energy is transferred. By dividing the power by the energy of a single photon, which is given by Planck's equation (E = hf), we can determine the number of photons emitted per second.

Considering the frequency of 101 MHz, we can find the number of photons emitted per second to be approximately 2.46 x 10^26.

b. In the case of the FM radio broadcast, it is more appropriate to treat it as an electromagnetic wave rather than discrete photons. While electromagnetic waves are composed of photons, at the macroscopic level, the behavior of the wave is more evident and practical for analyzing radio transmission.

The radio signal is characterized by its frequency, wavelength, and amplitude, which are properties associated with electromagnetic waves. The wave nature of the broadcast allows it to travel long distances, experience diffraction and interference, and be detected by receivers designed to capture the electromagnetic signals.

Treating it as discrete photons would not capture the full picture of the radio transmission phenomena and would not be as useful for practical analysis and engineering of radio communication systems.

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Answer:

IV what is it's potential energy at the maximum height

Answer:

decigram milligram gram decagram kilogram

Answer:

190 is the average velocity.

Explanation:

Just add them together

Answer:

The mass of the object does not change by moving it to another place. ... At the center of the earth the net gravitational force is zero, so the weight will be zero, but its masses will remain same. Hence the mass at the centre of earth will be equl to 50 kg.

Explanation:

It's because the mass of the object doesn't change by moving it to next place.

Answer:

Concave mirror

Explanation:

Because as we move the object far away from the mirror the image gets inverted

Answer:

this is the answer........................

If mark continues at the same rate, Mark will reach  his fifth destination at 1:20. The correct answer is D.

We know that the hour hand completes one full rotation of the clock every twelve hours. A day has 24 hours because the clock spins once every 24 hours. One clock turn takes the minute hand 60 minutes to complete. So an hour is made up of 60 minutes.

There is a 1 hour, 50 minute time difference between first and second.

The interval between the second and third is 60 minutes, or one hour.

The fourth would therefore complete in 12:20, and the fifth destination in 1:20.

Option D, which is 1:20, is the appropriate reaction as a result.

Your question is incomplete but most probably your full question attached below

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The position of the car at t=3.0s is 18m from the origin.

the starting point of a quantity at a certain time, let's say t = 0. This is referred to as receiving an "initial condition",

For a car on an amusement park ride, the velocity as a function of time is given by v=at² + bt with constants.

According to the equation above,

v = t² + 2t

Since v = dx/dt

dx/dt = t² + 2t

dx = t²dt + 2tdt

Integrating both sides [ integration{ a^nda } = a^(n+1) / (n+1) ]

So , int [ x⁰dx ] = int [ t²dt ] + 2 int [ t¹dt ] ,

Now,

x¹/1 = t³/3 + 2*( t²/2 )

x = t³/3 + t²

For t =  s,

x = 3³/3 + 3²

x= 27/3 + 9 = 18 m .

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Answer:

Explanation:

Use kinematics equations

You have Vi=10m/s and Vf=50m/s and t=2s

Use equation Vf=Vo+at      50=10+a(2)

50=10+2a

40=2a

a=20 m/s^2

Answer:

This

Explanation:

Khan academy answer

Answer:

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

We have

PE = 134 × 9.8 × 72 =94,550.4

We have the final answer as

Hope this helps you

The densities of the two pieces of glass will be the same. This is because the density of a substance does not depend on its size or shape.

To provide an explanation, density is defined as the mass of a substance per unit volume.

The mass of each piece of glass will depend on its size, but the volume will also change proportionally, meaning the ratio of mass to volume (i.e. the density) will remain the same.

Despite being broken into different sizes, the densities of the two glass pieces remain equal as density is a property of the material itself.

In summary, the density of the two pieces of glass will be the same despite their different sizes. This is because density is determined by the mass per unit volume of a substance, which does not change with size.

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Answer:

D

friction acts in the opposite direction of motion but does not affect the motion of the object

Answer:D.Friction acts in the opposite direction of motion, slowing the block down.

Explanation:

Answer: \(0.708\ mA\)

Explanation:

Given

\(E_o=20\ V/m\)

\(\omega =10^7\ s^{-1}\)

Cross-sectional area \(A=0.40\ m^2\)

Current density is given by

\(J=\epsilon_o \dfrac{dE}{dt}\)

Displacement current

\(\Rightarrow I=JA\\\Rightarrow I=8.854\times 10^{-12}\times 20\times 10^7\times 0.4\\\Rightarrow I=0.708\times 10^{-3}\ A\)

The required value of the maximum displacement current of the given space is  \(7.08 \times 10^{-4} \;\rm A\).

Given data:

The intensity of electric field is, \(E_{0}=20 \;\rm V/m\).

The angular frequency of electric field is, \(\omega=1.0 \times 10^{7} \;\rm s^{-1}\).

The cross-sectional area of space is, \(A =0.40 \;\rm m^{2}\).

In the given problem, the instantaneous electric field is given by \(E = E_{0} \times cos(\omega t)\)

So, the expression for the current density is,

\(J= \epsilon_{0} \times \dfrac{dE}{dt}\)

Here, \(\epsilon_{0}\)  is the permittivity of free space. Solving as,

\(J= \epsilon_{0} \times \dfrac{d(E_{0} \times cos(\omega t))}{dt}\\\\J= -\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)\)

And the expression for the maximum displacement current is,

\(I = J \times A\)

And the maximum displacement current is possible only when, J is positive and J will be positive for  \(sin(\omega t)=-1\).

Then solving as,

\(I = (-\epsilon_{0} \times E_{0} \times \omega \times sin(\omega t)) \times A\\\\I = (-8.85 \times 10^{-12} \times 20 \times (1.0 \times 10^{7}) \times (-1)) \times 0.40\\\\I = 7.08 \times 10^{-4} \;\rm A\)

Thus, we can conclude that the required value of the maximum displacement current of the given space is  \(7.08 \times 10^{-4} \;\rm A\).

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Objects 1 and 2 attract each other with an electrostatic force of 72.0 units. if the charge of object 1 is halved, then the electrostatic force is 36.0 units

Let's understand the answer

The electrostatic force is the force that exists between two charged particles which is given by:

\(F = K\frac{Q_{1}Q_{2}}{r^{2}}\)

where

k is the Coulomb's constant

q1 and q2 are the two charges

r is the distance between the charges

In this problem, the charge of object 2 is doubled, so

\(F = K\frac{\frac{Q_{1}}{2} Q_{2}}{r^{2}}\)

\(F = \frac{K}{2} \frac{Q_{1} Q_{2}}{r^{2}}\)

\(F = \frac{F_{initial}}{2}\)

So, the electrostatic force will be halved.

Since as the initial electrostatic force is

F = 72.0 units

the new force will be

72/2 = 36 units

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Explanation:

studying hard is the only thing that could make the educational system better

I think the student when he studying first time then first he want to speak Korean and study hard for that but if he try then only he can be better

Explanation:

and he or she should have interest to study if he or she have interest then only their education will be better

and if he / she didn't have interest on study then we can't do anything........

because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant

hope it helps you

we can conclude that the assertion and reason are true and are related to each other in the given statement.

The given equation MnO2 + 4 HCl → MnCl2 + Cl2 + 2 H2O is a redox reaction. Here’s why: Assertion: MnO2 + 4 HCl → MnCl2 + Cl2 + 2 H2O is a redox reactionThis assertion is true because the given chemical equation represents a redox reaction. In a redox reaction, one reactant gets oxidized, and the other gets reduced.

In this equation, MnO2 (manganese dioxide) gets reduced, and HCl (hydrochloric acid) gets oxidized. Reason: MnO2 oxidizes HCl to Cl2 and gets reduced to MnCl2

This reason is true because, in the given equation, MnO2 reduces to MnCl2, which means it is gaining electrons and, hence, getting reduced. On the other hand, HCl oxidizes to Cl2, which means it is losing electrons and, hence, getting oxidized. The process of oxidation and reduction is a redox reaction. Hence, the reason for the assertion is correct.

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Answer:

It is in contact with two vertical rails which are joined at the top. The rails are without friction and resistance. There is a horizontal uniform magnetic field of magnitude B perpendicular to the plane of the ring and the rails.

Explanation:

Not sure if this is correct but pls give thanks anyway!

The signal's Nyquist frequency is 5000 Hz, and an appropriate sampling frequency would be 10,000 Hz or higher.

A periodic signal is a signal that repeats itself after a fixed interval of time. In this case, the periodic signal is composed of sinusoids with frequencies of 5000 Hz, 2300 Hz, and 3400 Hz. To determine the signal's Nyquist frequency, we need to identify the highest frequency component, which is 5000 Hz. The Nyquist frequency is the minimum rate at which a signal must be sampled in order to accurately represent the original signal without aliasing. This is given by the Nyquist-Shannon sampling theorem, which states that the sampling frequency must be at least twice the highest frequency component in the signal.

In this case, the appropriate sampling frequency would be at least twice the Nyquist frequency, which is 2 * 5000 Hz = 10,000 Hz. By choosing a sampling frequency of 10,000 Hz or higher, the signal can be accurately represented and reconstructed without any loss of information.

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The maximum particle velocity is equal to four times the wave velocity when the amplitude multiplied by π is equal to twice the wavelength.

If we consider the equation of a transverse wave, the maximum particle velocity (V_particle) can be found using the equation:

\(V_particle = A * ω\)

where A is the amplitude of the wave and ω is the angular frequency.

The wave velocity (V_wave) can be determined using the equation:

\(V_wave = λ * f\)

where λ is the wavelength and f is the frequency.

Given that the maximum particle velocity is equal to four times the wave velocity, we have:

\(V_particle = 4 * V_wave\)

Substituting the expressions for V_particle and V_wave, we get:

\(A * ω = 4 * (λ * f)\)
Now, we know that ω = 2πf, so we can rewrite the equation as:

\(A * 2πf = 4 * (λ * f)\)

To find the value for which this equation holds true, we can divide both sides by 2f, giving:

\(A * π = 2 * λ\)

Thus, the maximum particle velocity is equal to four times the wave velocity when the amplitude multiplied by π is equal to twice the wavelength.

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Complete question :

A flight attendant pulls her 70 N flight bag a distance of 318 m along a level airport floor at a constant velocity. The force she exerts is 41 N at an angle of 57° above the horizontal.

(a) Find the work she does on the flight bag.

(b) Find the work done by the force of friction on the flight bag.

(c) Find the coefficient of kinetic friction between the flight bag and the floor.

Answer:

7107 J ; - 7107 J ; 0.55

Explanation:

Given that :

Distance, d = 318m

Applied force = 41 N

θ = 57°

A.) Workdone = Force exerted along direction of motion

Workdone = applied Force * distance * cosθ

Workdone = 41 * 318 * cos57 = 7101.0037

Workdone = 7,101 J

B.) Workdone by force of friction on flight bag:

- 7,101 J (since the body moves at constant velocity)

C.)

Coefficient of kinetic friction (μ) = Frictional force / normal reaction)

μ = F / N

Frictional force, F = Workdone by friction / distance

F = 6200 / 318

F = 19.47N ;

Ff = weight of Flight bag = 70 N

N = Ff - Fsinθ

N = 70 - applied Force sinθ

N = 70 - 41sin57

N = 70 - 34.385493

N = 35.614506

μ = 19.47 / 35.614506

μ = 0.5466873

Answer:

An isotope is one of two or more species of atoms of a chemical element with the same atomic number and position in the periodic table and nearly identical chemical behavior but with different atomic masses and physical properties. In medicine, for example, cobalt-60 is extensively employed as a radiation source to arrest the development of cancer. Other radioactive isotopes are used as tracers for diagnostic purposes as well as in research on metabolic processes.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Those isotopes which are unstable due to the presence of extra neutrons in their nuclei and emit various types of radiations are called radioactive isotopes. The radiations emitted are in the form of alpha particles, beta particles and gamma rays.

For eg :- carbon,hydrogen and chlorine.

Answer:

An ammeter.

Explanation:

The electric current in one part of a circuit is measured with an ammeter, which gives a reading in ampere.

After the collision, the two cars stick together. Find the final velocity of the two cars would be 0.667 meters per second as per the conservation of the momentum after the collision.

It is the type of collision in which the total momentum as well as the kinetic energy on the system is conserved.

As given in the problem we have to find the velocity of the two cars if, after the collision, the two cars stick together,

As per the conservation of the momentum,

The total initial momentum of the cars before the collision = The total final momentum of the cars after the collision

1 × 2 + 2 × 0  = ( 1 + 2 ) × V

2 + 0 = 3 × V

V = 2 / 3

V = 0.667 meters per second

Thus, after the collision, the two cars stick together, then the final velocity of the two cars would be 0.667 meters per second

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The speed of the golf ball would be approximately 124.04 m/s. This speed is significantly higher than the maximum measured speed of 273 km/h (75.83 m/s) for a golf ball, indicating that the calculated speed is not realistic.

To find the speed of the golf ball, we can use the formula for momentum:

momentum = mass × velocity

Rearranging the formula to solve for velocity:

velocity = momentum / mass

Substituting the given values:

velocity = 5.83 kg m/s / 0.047 kg = 124.04 m/s

The calculated speed of 124.04 m/s is much higher than the maximum measured speed of a golf ball (273 km/h or 75.83 m/s). This suggests that the given momentum value of the golf ball (5.83 kg m/s) is not realistic or there may be some other factors affecting the golf ball's maximum speed.

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The bullet takes 0.0025 seconds to pass through the wooden plank of 5 cm thickness when it is traveling horizontally with an initial speed of 30 m/s and a final speed of 10 m/s.

The time taken by the bullet to pass through the wooden plank can be determined using the equation of motion for constant acceleration.

Given:
Initial speed (u) = 30 m/s

Final speed (v) = 10 m/s

Distance (s) = 5 cm = 0.05 m

To find the time taken (t), we need to calculate the acceleration (a) first. We can use the equation:

v² = u² + 2as

Rearranging the equation, we have:

a = (v² - u²) / (2s)

Substituting the given values:

a = (10² - 30²) / (2 * 0.05)

Simplifying the expression:

a = (-800) / (0.1)

a = -8000 m/s²

The negative sign indicates that the acceleration is in the opposite direction of the initial velocity.

Next, we can use the equation of motion:

v = u + at

Substituting the values:

10 = 30 + (-8000) * t

Simplifying the equation:

-8000t = -20

Dividing by -8000:

t = 20 / 8000
t = 0.0025 s

Therefore, the time taken by the bullet to pass through the wooden plank of 5 cm thickness is 0.0025 seconds.


To find the time taken by the bullet to pass through the wooden plank, we need to calculate the acceleration first using the equation of motion.

By rearranging the equation and substituting the given values, we can find the acceleration.

Then, using the equation of motion again, we can solve for time.

The negative sign in the acceleration indicates that it is in the opposite direction of the initial velocity.

The resulting time is 0.0025 seconds.

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