What mechanisms function to localize sound in the horizontal and vertical planes?
Horizontal sound localization results from two mechanisms: interaural time delay and interaural intensity difference.
What is localizing sound?The capacity to pinpoint the position or source of a detected sound in terms of distance and direction is known as sound localization.
Numerous studies have been conducted on the mammalian auditory system's sound localization mechanisms. The auditory system uses a variety of indicators, such as spectral information, timing difference, level difference (or intensity difference) between the ears, and others, to locate the source of sound. Other animals, including birds and reptiles, employ these cues as well, however there may be variances in how they are used. In addition, there are localization cues that are not present in the human auditory system, such as the results of ear movements. It is obvious that animals that can localize sound have an evolutionary advantage.
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On a frictionless, horizontal air track. the glider has a head-on collision with a 0. 300-kg glider that is moving to the left with a speed of 2. 20 m>s. Find the final velocity?
The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
Given data,
Mass of glider A (M[tex]_{1}[/tex]) = 0.15 kg
Mass of glider B (M[tex]_{2}[/tex]) = 0.3 kg
Initial velocity of A (u[tex]_{1}[/tex]) = 0.80ms-1
Initial velocity of B ( u[tex]_{2}[/tex]) = -2.2m/s
Momentum and kinetic energy are conserved in elastic collision . So,
M[tex]_{1}[/tex]u[tex]_{1}[/tex]+M[tex]_{2}[/tex]u[tex]_{2}[/tex] = M[tex]_{1}[/tex]v[tex]_{1}[/tex]+M[tex]_{2}[/tex]v[tex]_{2}[/tex]
0.15×0.8+0.3x(-2.2) = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]
-0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex]
Again if,
u[tex]_{1}[/tex]+v[tex]_{1}[/tex] =u[tex]_{2}[/tex]+v[tex]_{2}[/tex]
0.8 +v[tex]_{1}[/tex] =-2.2+v[tex]_{2}[/tex]
v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3
Solving for -0.54 = 0.15v[tex]_{1}[/tex]+0.3v[tex]_{2}[/tex] and v[tex]_{1}[/tex]-v[tex]_{2}[/tex] = -3 , we get
v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
Therefore,The final velocity is v[tex]_{2}[/tex] =-0.2m/s , v[tex]_{1}[/tex] = -3.2 m/s
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(a) Draw a Velocity - Time graph for an Object with Constant Acceleration.
(b) Draw a Velocity - Time graph for an Object with Constant velocity.
(c) In the given graph, compare the acceleration the body undergoes in region A and C.
Explanation:
answers to 1 and 2 above/below respectively but can't do 3 because I don't know what graph you're talking about
According to the indiana driver’s manual, a passenger car traveling at 55 mph will take approximately _________ to brake to a complete stop.
A passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
What is the braking distance?Indiana is one of the states that compose the United States of America. We know that in the United States, the laws are different depending on the state in which a person resides and so does the the traffic laws and the driver's manual.
Generally, a driver ought to apply the brake a good distance away from the obstacle depending on the speed of the driver. We know that a higher speed immediately implies that the driver must start braking early enough.
Hence, according to the Indiana driver’s manual, a passenger car traveling at 55 mph will take approximately 130 - 140 feet to brake to a complete stop.
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Which can store more energy: a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kv?
Out of a 1. 0-μf capacitor rated at 250 v or a 470-pf capacitor rated at 3 kV , a 1. 0-μf capacitor rated at 250 v will have more capacitance than the other one .
A capacitor is a two-terminal electrical device that possesses the ability to store energy in the form of an electric charge. It consists of two electrical conductors that are separated by a distance. The space between the conductors may be filled by vacuum or with an insulating material known as a dielectric.
Work has to be done to transfer charges onto a conductor, against the force of repulsion from the already existing charges on it. This work is stored as a potential energy of the electric field of the conductor.
Energy stored in a capacitor1 = 1/2 * C1 * [tex]V1^{2}[/tex]
= 1/2 * ( 1 * [tex]10^{-6}[/tex]) * 250
= 31250 * [tex]10^{-6}[/tex] J
Energy stored in a capacitor2 = 1/2 * C2 * [tex]V2^{2}[/tex]
= 1/2 * ( 470 * [tex]10^{-12}[/tex] ) * [tex](3000)^{2}[/tex]
= 2115 * [tex]10^{-6}[/tex] J
capacitor 1 can store more energy
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The resonance frequency of a driven rlcrlc circuit is 1600 hzhz. part a what is the resonance frequency if the resistance rr is doubled?
The resonant frequency of a driven rlcrlc circuit is 1600 hzhz. The resonant frequency is doubled if the resistance rr is doubled
The natural frequency at which a material vibrates with the greatest intensity is called the resonant frequency. The symbol for resonance is typically f0. Resonance is seen in items that are in balance with the forces at work and, in ideal circumstances, could vibrate indefinitely.
A resonant frequency is a natural vibrational frequency in sound applications that is established by the physical characteristics of the vibrating object.
The resonant frequency is advantageous because, in the event of resonance, the oscillation's deflection increases. In acoustics, a greater sound wave amplitude results in greater sound pressure and, thus, a greater volume. For loudspeakers, resonant frequencies are typically undesired.
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Due to interference with reflections off the water, certain wavelengths will be weak when they reach the balloon. What is the maximum wavelength λ that will interfere destructively?.
The maximum wavelength that will interfere destructively is [tex]$\lambda=\frac{2 h x}{d}$[/tex]
The maximum wavelength that will interfere constructively is [tex]$\lambda=\frac{4 h x}{d}$[/tex]
What is Wavelength?Wavelength is the distance between equivalent points (adjacent crests) in the adjacent cycles of a waveform signal reproduced in space or along a wire. In wireless methods, this length is usually established in meters (m), centimeters (cm), or millimeters (mm).Wavelength (λ) - The wavelength of light is represented as the distance between the crests or channels of a wave motion. 2. Frequency (f) - Commonness is the number of occurrences of a repeating occurrence per unit of time. In the case of light, commonness refers to the numeral of times a wavelength is repeated per moment.wavelength: The length between one peak and the next in a sequence of waves, or the distance between one channel and the next. It's also one of the “yardsticks” used to calculate radiation.To learn more about Wavelength, refer to:
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Transformers: an ideal step-up transformer doubles a primary voltage of 110 v. what is the ratio of the number of turns in its primary coil to the number of turns in the secondary coil?
The ratio of the number of turns in the primary and the secondary coil of a step-up transformer is 1 : 200.
The formula for calculating the secondary voltage in a transformer is: N = V = Where No and N are the primary and secondary coils' respective turn counts; V and V are the RMS voltages across the primary and secondary coils, and I and Is are the primary and secondary currents.
Calculation: Due to this:
The coil's N2 to Ns turn ratio is 1/20.
We understand that N=1/20 = 4/LP: Is = 20:1.
The transformer uses the following principles: A wire's magnetic field moves as a result of a changing current flowing through it. A wire exposed to a moving magnetic field will create a changing current.One of the coils produces a magnetic field that grows and contracts in response to the changing voltage of the AC when an AC source is connected to it.
In other words, the coil generates a growing magnetic field as the voltage across it rises. The magnetic field generated around the capacitor increases when the voltage reaches its maximum and starts to decline.
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A car has 400 kgm/s worth of
momentum and runs into a truck initially at rest. After the collision,
the truck has 500 kgm/s
worth of momentum.
What must be the final momentum of the car?
A. 100 kgm/s
B. 500 kgm/s
C. -100 kgm/s
D. 400 kgm/s
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
By the Law of Conservation of momentum
⇒ the total momentum always remains constant before and after the
collision
Pc: the momentum of the car initially before collisionPcf: the momentum of the car after the collisionPt: the momentum of the truckPc = Pt + PcF
400 = 500 + PcF
PcF = -100 kg * m/s
Therefore the car's final momentum is -100 kg*m/s
Answer: -100 kg*m/s or choice (C)
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Consider these observations:
The electromagnetic waves from the sun heat up Earth’s surface and atmosphere.
Sound waves from an outdoor music concert can be heard at a distance from the concert venue.
Shear waves generated by an earthquake dissipate energy at a boundary between a solid and a liquid but do not travel through the liquid.
Which of the following can be inferred, based on these observations, about energy transfer by waves as the wave travels through a medium?
A
All waves transfer energy no matter what medium they travel through.
B
All waves need a gaseous medium to travel through in order to transfer energy.
C
All waves transfer energy by the net movement of particles of the medium.
D
All waves transfer energy equally well through all types of media.
Energy is transferred by waves as the wave travels through a medium All waves transfer energy no matter what medium they travel through. the correct answer is option(a).
A wave is a disturbance that shifts energy rather than actual substance from one location to another. Energy is transferred by waves away from its source, or initial location.
Energy is transferred via electric and magnetic field vibrations in electromagnetic waves. Energy is conveyed in sound waves by the vibrating of air molecules or the particles of the substance that the sound is traveling through. The vibration of the water molecules occurs during the transmission of energy in water waves. The medium's particles only vibrate stationary. As they vibrate, they transfer the disturbance's energy to the particles nearby, which then transfer it to the particles nearby, and so forth. The wave does not truly move together with the medium's particles.
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What are the similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity)?
Similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity) is that Electric fields are produced by two kinds of charges, positive and negative similarly Magnetic fields are associated with two magnetic poles
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
Electric fields are produced by two kinds of charges, positive and negative. Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges).
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For most people in most environments, the reaction range for iq is about 25 points. this means that:_______
For most people in most environments, the reaction range for IQ is about 25 points, this means that: the environment is the primary determinant of mental health.
Reaction range :
Reaction range refers to limits set on IQ by heredity. Environment determines where IQ will lie within these limits. There is a discrepancy in IQ scores between whites and some minority groups. There are both hereditary and environmental explanations for this discrepancy.
What is the range of reaction principle?
Range of reaction asserts that our genes set the boundaries within which we can operate, and our environment interacts with the genes to determine where in that range we will fall.
Personality or intelligence quotient (IQ) :
Is shaped by genes as well as by an individual's upbringing and surrounding environment. However, in recent time many scientists and researchers have succeeded to identify certain personality characteristics or attributes to some specific genes.
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0.7-kg of r-134a is expanded isentropically from 800 kpa and 50°c to 140 kpa. determine the total heat transfer and work production for this expansion.
There will be no heat transmission, and the system's work is 25.27 Kj.
The calculation for total heat transfer and work production:
Provided,
The mass of r-134a = 0.7 kg
Initial pressure of the system, P₁ = 800 kpa
Initial temperature of r-134a, T₁ = 50°C = 273+ 50 = 323 K
Final pressure of the system, P₂ = 140 kpa
From the superheated refrigerant r-134a
P₁ = 800 kpa & T₁ = 50°C
the internal energy, u₁ = 263.87 Kj/kg &
the entropy, s₁ = 0.9803 Kj/kg .K
There won't be any heat transmission because the process is isentropic.
So, Q = 0 KJ
Due to the isentropic nature of the operation, the ultimate entropy is determined by
s₂ = s₁ = 0.9803 Kj/kg .K
From the r-134a superheated refrigerant
at P₂ = 140 kpa & entropy s₂ = 0.9803 Kj/kg .K
the internal energy,u₂ = 227.77 K/kg
The work on the system is provided by
W = m x (u₂-u₁)
W = 0.7 x(227.77 - 263.87)
W = 0.7 x (-36.1)
W = -25.27 KJ
A negative number means the system is doing the task.
As a result, there won't be any heat transfer, and the system will only have used 25.27 KJ of energy.
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A particle with charge 5. 0 μc is placed at the corner of a cube. the total electric flux through all sides of the cube is:_____.
A particle with a charge of 5. 0 μc is placed at the corner of a cube. the total electric flux through all sides of the cube is 7.1 × [tex]10^4 Nm^2/C[/tex].
Electric flux:Electric flux is a measurement of how many electric field lines are present at any given surface. It has a scalar value. Voltmeters are its SI unit. Gaussian Law It is known as a closed surface when the total flux linked inside it is equal to one zero times the total charge contained within it.
The electric flux is positive when electric lines emerge from a surface and negative when the same lines enter a surface.
Flux through any surface is given by;
Φ[tex]= \frac{Q}{E}[/tex]
Where, E = The magnitude of the electric field.
Q = The charge of the particle.
If a corner atom is shared by eight neighboring such cubes, then one- eight part of the corner atom or particle contributes to each cube.
Φ [tex]= \frac{Q}{8E}[/tex] = [tex]\frac{5 * 10^-^6}{8*8.5 * 10^-^1^2}[/tex]
= 7.1 × [tex]10^4 Nm^2/C[/tex]
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What is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth? (the gravitational constant g = 6.67 x 10-11 m3/kg*s2)
343 N is the gravitational force a 35 kg person standing on the earth's surface exerts on the earth .
Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
According to Newton's universal law of gravitation, The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
According to newtons second law
Force = mass * acceleration
since , we need to find gravitational force so, acceleration will be equal to acceleration due to gravity on earth.
Force = mg
= 35 * 9.8
= 343 N
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If fuel consumption is 80 pounds per hour and groundspeed is 180 knots, how much fuel is required for an airplane to travel 477 nm?
Answer:
212 pounds
Explanation:
477 nm / 180 nm/hr * 80 #/hr = 212 #
Imagine that you’re observing a collision. which action would allow you to determine whether the collision is inelastic?
Observe whether the colliding objects change their shape.
When observing a collision, we observe whether the colliding objects change their shape to see whether the collision is inelastic.
What is an inelastic collision?An inelastic collision is one in which the kinetic energy is lost. In an inelastic collision, the system's momentum is conserved, but its kinetic energy is not.
Which way does an elastic collision occur?Solution: (i) An inelastic collision occurs when the total initial kinetic energy of the bodies prior to the collision does not equal the total final kinetic energy of the bodies following the collision. Momentum is retained in (ii). In an inelastic collision, kinetic energy is not conserved.What are two instances of collisions that are completely inelastic?When two objects move as one mass after colliding, this is known as a perfectly inelastic collision. Examples: hitting a target board with an arrow. a meteor getting buried in the cracks of the Earth. The two items have united.To learn more about inelastic collision visit:
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A solid sphere of radius r rotates about a diameter with an angular speed w. the sphere then collapses under the action of internal forces to a final radius r/2. what is the final angular speed of the sphere
The final angular speed of the sphere is 4ω.
Calculation:Angular momentum will remain conserved.
What is conservation of angular momentum?A spinning system's ability to conserve angular momentum ensures that its spin will not change until it is subjected to an external torque; in other words, the rotation's speed will not change as long as the net torque is zero.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5} MR^{2}[/tex]
For the question,
L₁ = L₂
I₁ω₁ = I₂ω₂
Given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
Substituting the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, the final angular speed of the sphere is 4ω.
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4ω is the final angular speed of the sphere.
When a solid sphere of radius r rotates about a diameter with an angular speed w, the sphere then collapses under the action of internal forces to a final radius r/2, 4ω is the final angular speed of the sphere.
Angular momentum will remain conserved.
Angular momentum is given by,
L = Iω
where,
L = angular momentum
I = moment of inertia
ω = angular speed
The moment of inertia of a solid sphere is,
I = [tex]\frac{2}{5}[/tex][tex]MR^{2}[/tex]
For the given problem,
L₁ = L₂
I₁ω₁ = I₂ω₂
We are given,
R₁ = R
R₂ = R/2
ω₁ = ω
To find,
ω₂ =?
On substitution of the values in the equation,
I₁ω₁ = I₂ω₂
[tex]\frac{2}{5}[/tex](MR²)ω = [tex]\frac{2}{5}[/tex] M(R/2)²ω₂
R²ω = (R²/4)ω₂
ω = (1/4)ω₂
ω₂ = 4ω
Hence, we can conclude that the final angular speed of the sphere is 4ω.
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Newton's Third Law of Motion relates to action and reaction. Which of the following scenarios accurately names the correct action and reaction pair to apply to Newton's Third Law?
(Repost again because i rly need the answer) Physics question HELP asap
The cannonball will travel 311.8 m horizontally. Among the given options, 310 m is the correct answer.
What is a Projectile ?
A projectile is any object like stone, ball or javelin that take a trajectory path when thrown into the air.
The following parameters are given from the question
Ф = 30°u = 60 m/sg = 10 m/s²T = ?R = ?Resolve the initial velocity into horizontal and vertical components. That is,
Horizontal component = ucosФVertical component = usinФTo calculate the range that is, the horizontal distance, will can first calculate the total time take by the ball to reach the ground.
Total time T = 2usinФ / g
Substitute all the parameters
T = (2 x 60sin30) / 10
T = (2 x 30) / 10
T = 60 / 10
T = 6 s
The horizontal distance R = ucosФ x T
R = 60 x cos 30 x 6
R = 311.77 m
Therefore, the cannonball will travel 312 m approximately horizontally.
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HELP PLS I WILL MARK U BRAINLIEST!!
Answer:
D
Explanation:
I would say much too small as there is a significant portion of the plant that is UNDER water.....
( Really depends on how deep the water is...if it is shallow water it would be just a little too small)
How could a man be severely injured beig hut by some tomatoes?
Answer:
he can fall down
Explanation:
he could fall down because of the tomatoes and do notice he has fallen down because of them
An electron moving perpendicular to a magnetic field of 3. 2 × 10-2 t moves in a circle of radius 0. 40 cm. how fast is this electron moving?
An electron moving perpendicular to a magnetic field of 3. 2 × 10-2 t moves in a circle of radius 0. 40 cm. this electron is moving with 2.25 x 10⁷ m/s
The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is traveling through a magnetic field.
A magnetic field is defined as a location in space close to a magnet or an electric current where a physical field is formed by a moving electric charge acting as a force on another moving electric charge. The magnetic field of the Earth is an illustration of a magnetic field. The region around a magnet where the effects of magnetism are felt is known as the magnetic field.
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Part a a calorimeter consists of an aluminum cup inside of an insulated container. The cup is weighed on a top-loading balance and is found to have a mass of 31. 91 g. A reaction is conducted in the calorimeter, raising the temperature from 21. 2 c to 26. 1 c what is the change in heat q for the aluminum cup in units of j? aluminum has a specific heat of 0. 903 j 1 ? 1 write your answer to the correct number of significant figures.
The change in heat q for the aluminum cup is 141 J.
What is Specific heat?A substance's heat capacity is the amount of heat needed to increase its overall temperature by one degree. The heat capacity is known as the specific heat capacity or the specific heat if the substance's mass is unity.
change in heat -
The amount of heat Q that is transported to create a temperature shift depends on the substance and phase involved, the mass of the system, and the magnitude of the temperature change. (A) The temperature change and the amount of heat transported are directly inversely related.
The answer's sign dig is determined by a calculation's lowest sign digits.
The solution will need 3 digits because the temperatures are provided with 3 significant digits and the specified heat has 3 significant digits (the mass has 4 significant digits).
31.91 g * 0.903 J/g-C * (26.1 - 21.2 C) = 141 J
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A wavelength of 489. 2 nm is observed in a hydrogen spectrum for a transition that ends in the nf level of the balmer series. what was ni for the initial level of the electron?
The distance between identical points in adjacent cycles of a waveform signal is called wavelength. The n₁ for the initial level of the electron is 4.
What is Wavelength?The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal carried in space or down a wire is defined as the wavelength.
Given the wavelength is 489.2 nm, also, it is stated that the nf level is Balmer series. Therefore,
nf level = 2
The wavelength, λ = 489.2 nm = 4.86× 10⁻⁷ meter
Now, the mathematical formula for wavelength is given as,
[tex]\dfrac{1}{\lambda} = R[\dfrac{1}{nf^2}-\dfrac{1}{n_1^2}][/tex]
where R is the Rydberg constant and its value is equal to 1.097×10⁷.
Therefore, we can write,
[tex]\dfrac{1}{4.86 \times 10^{-7}} = 1.097 \times 10^7 [\dfrac{1}{2^2} - \dfrac{1}{n_1^2}][/tex]
n₁ = 4.0021 ≈ 4
Hence, the n₁ for the initial level of the electron is 4.
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Question 1 of 28
Which sentence is generally true of red stars?
OA. They are the oldest stars.
OB. They are the hottest stars.
OC. They are the youngest stars.
D. They are the coldest stars.
Answer: D. They are the coldest stars.
Explanation:
please hurry write the symbol that completes the following nuclear equation
88 ^ 21 Rn : 2 He+?
15 ^ 29P +1 ^ 0 e+ ?
The symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄What is an alpha decay?An alpha decay can be defined as a type of radioactive decay in which the atomic nucleus of a radioactive element emits an alpha particle, thereby, producing chemical elements with a different atomic nucleus.
During an alpha decay, the radioactive element has a mass number that is decreased by four (4) and an atomic number that is decreased by two (2), which is typically an atom of Helium (⁴He₂).
What is a beta particle?A beta particle can be defined as an isotope which typically undergoes radioactive decay through the emission of a radiation with a -1 charge. This ultimately implies that, an atom of neutron becomes a proton and an electron (₀e⁻¹) and an atom of proton also becomes a neutron and a positron (⁰⁻e₁⁺) during beta decay.
In conclusion, the symbols that completes the given nuclear equation are written as follows:
²²⁶Ra₈₈ ----> ²²²Rn₈₆ + ⁴He₂²⁹P₁₅ e ----> ⁰⁻e₁⁺ + ²⁹Si₁₄Read more on alpha decay here: https://brainly.com/question/23303931
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A mass m is attached to an ideal massless spring with spring constant k. In experiment 1 the mass oscillates with amplitude a, and period t. A student grabs the mass and brings it to rest before starting experiment 2. In experiment 2, the mass is set to oscillate with a larger amplitude of 3a. What is the period of the oscillation in experiment 2?.
Time period remains the same in both the experiment as change in amplitude does not affect time period.
What are the factors on which time period depends in SHM?Time period is given by:
[tex]T = 2\pi \sqrt{\frac{m}{k} }[/tex]
where,
T = time period
m = mass
k = spring constant
From the given formula, we find that the time period is only dependent on mass of the object and spring constant in a simple harmonic motion (SHM). If there is any change in mass of the object or the spring constant, the time period will change accordingly.
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Four point charges, each of charge 2. 5 x 10-5 c, are located on the x- and y-axes, one at each of the locations (0, 2. 0 m), (0, -2. 0 m), (2. 0 m, 0), and (-2. 0 m, 0). the potential at the origin is__________.
The Potential at the origin due to the four point charges located at (0, 2), (0, -2), (2 , 0), and (-2 , 0) will be - [tex]45\times10^{4}[/tex] volts.
We have four point charges, each of charge [tex]2.5\times10^{-5}[/tex] C, are located on the x - axis and y - axis, one at each of the locations (0, 2), (0, -2), (2 , 0), and (-2 , 0).
We have to calculate the potential at the origin O(0,0).
What is the formula to calculate the Electric potential at a point ' r ' meters away from a point charge ' q ' ?The Electric field potential due to point charge ' q ' at a distance ' r ' meters apart is -
[tex]V(r) = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}[/tex]
Now, in the question given to us -
q = [tex]2.5\times10^{-5}[/tex]
Let us label the four points as - A (0, 2), B (0, -2), C (2 , 0), and D (-2 , 0).
Now, the potential due to charge located at point A will be -
[tex]V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = \frac{1}{4\pi\epsilon_{o} } \frac{q}{r}\\V_{A} = 9\times10^{9}\times\frac{2.5\times10^{-5} }{2} \\V_{A} = 11.25\times10^{4}[/tex]
Now, the distance of the center from each point will be same = 2 m.
Hence, the potential due to each charge at the origin will be -
[tex]V_{A} =V_{B} =V_{C} =V_{D} = 11.25\times10^{4}[/tex]
Since, the potential is a scalar quantity, we can add the potential due to each charge using simple addition -
[tex]V_{A} +V_{B} +V_{C} +V_{D} = 4\times11.25\times= 45\times10^{4}[/tex] Volts
Hence, the potential at the center will be - [tex]45\times10^{4}[/tex] volts.
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Two planets, alice and bob, have the same radius. Alice has a greater density than bob. Which has the higher escape velocity?
Answer:
Since Alice has a greater density it will also have a greater mass
Density = mass / volume
The potential energy at the surface of Alice will be greater and a higher kinetic energy will be required to escape the planet's gravitational pull.
PE = K M / R potential at surface is greater because mass is greater
KE = 1/2 M v^2 greater velocity required to overcome PE
Wolfgang pauli hypothesized an exclusion principle. This principle says two electrons in an atom cannot have the same what?.
No two electrons in an atom or molecule may have the same four electronic quantum numbers, according to the Pauli Exclusion Principle. Only two electrons can fit into an orbital at a time, hence they must have opposing spins.
What is Pauli's exclusion principle ?According to Pauli's exclusion principle, two electrons cannot share the same orbital and must have anti-parallel or opposite spins. Example: Two bonded electrons in a neutral helium atom achieve the opposite spin to occupy the lowest-energy () states.
It is known as the exclusion principle because, in accordance with it, all other electrons in an atom are excluded from having the same set of specific values for the four quantum numbers as one electron in the atom.Learn more about Pauli's exclusion principle here:
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