Plsss Help!!!!
Complete the following nuclear reaction
a) γ

b) α

c) β–

d) p

Answer:

1. 571.43m/s

2. 142.9m and 342.9m

Explanation:

1.Take the difference in time.

1.2-0.7=0.7 seconds

Take the distance between them and divide with differnce in time.

400÷0.7=571.43 seconds.

2.Take the time of the two men and divide by two.

0.5÷2= 0.25 secs

1.2÷2= 0.6 secs

multiply each with the velocity.

0.25×571.43=142.9m

0.6×571.43=342.9m

The distance between the first and second-order dark fringe is 0.441 m.

Diffraction of a single slit:

When the light wave passes through a single slit of width which is comparable to the wavelength of the light, then the light wave bends at the edges of the slit. This is called diffraction.

Note: It is assumed that the slit is 3*10^(-3) mm wide. 1 nm = 10^(-9) m and 1mm = 10^(-3) m.

The dark fringes are obtained at the position which satisfies the equation,

d*sinθ = mλ

where d is the slit width, λ is the wavelength of the wave, θ is the angle of diffraction and m denotes the order of the dark fringe.

For first order fringe (m=1), the angle of diffraction θ₁ is,

d*sinθ₁ = λ

sinθ₁ =λ/d

Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.

sinθ₁ =(590 nm)/(3*10^(-3) mm)

sinθ₁ =(590*10^(-9))/ (3*10^(-3)*10^(-3) m)

sinθ₁ =0.196

θ₁ =11.03 degree

Similarly, for second-order fringe (m=2), the angle of diffraction θ₂ is,

d*sinθ₂= 2λ

sinθ₂ =2λ/d

Substitute λ=590 nm, d=3*10^(-3) mm, and solve it.

sinθ₂ =(2*590 nm)/(3*10^(-3) mm)

sinθ₂ =(2*590*10^(-9))/ (3*10^(-3)*10^(-3) m)

sinθ₂ =0.393

θ₂ =23.14 degree

From geometry, the positions x₁ and x₂ of the first and second-order dark fringe from the center of the screen are x₁=Dtanθ₁ and x₂= Dtanθ₂ where D is the distance of the screen from the slit. The distance s between the first-order and second-order dark fringe is then given by,

s=D(tanθ₂-tanθ₁)

Substitute D=1.90 m, θ₁=11.03 degree, and θ₂=23.14 degree in this equation and solve it.

s=1.90*(tan(23.14)-tan(11.03))

s=1.90*(0.427-0.195)

s=0.441 m

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Answer:q

Explanation:

The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.

What is the process of attaining thermal equilibrium by Earth?

The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.

We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.

Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.

A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.

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If the resistance of the wire in the windings of an electric starter motor for an automobile is [tex]2.40\times 10^{-2}\text{ } \Omega[/tex] and the motor is connected to a 13-V battery then the amount of current flow through the motor is [tex]5.42 \times10^2\text{ A}[/tex].

Calculation:

Step-1:

It is given that the resistance of the wire in the windings of an electric starter motor for an automobile is [tex]2.40\times 10^{-2}\text{ } \Omega[/tex] and the motor is connected to a 13-V battery. It is required to find the amount of current flow through the motor.

It is known from Ohm's law, it is known that voltage is the multiplication of the current and the resistance of a circuit.

V=IR

Where V is the voltage, I is current, and R is the resistance.

Step-2:

Substituting the given values into the equation to get the value of the current.

[tex]$$\\\begin{aligned}\\V&=IR\\\Rightarrow13 \text{ V}&=I \times 2.40\times10^{-2} \text{ }\Omega\\\Rightarrow I&=\frac{13}{2.40\times10^{-2}} \text{ A}\\ &=5.42 \times10^2\text{ A}\\\end{aligned}\\$$[/tex]

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The correct alternative is (a) use low beam headlights when driving in fog.

Use of low beam headlights is better than high beam headlights when driving in fog because high beams are aimed higher to maximize the seeing distance and their bright light doesn't provide the clear visibility through the fog. The high beam light bounces back and just reflect back into the eyes of driver resulting in a sharp glare making it difficult for the driver to see through the fog. Low beams are only directed sideward or downward which ensure that the light doesn't reflect back into the eyes while driving through fog. The low beam lights doesn't obscure the vision and prevent collisions by providing clear visibility through the fog.

Hence, it is a good idea to use only low beam headlights while driving through the fog to ensure the correct visibility.

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The particle that was given off in the reaction beta rays is β–. Option C

A nuclear reaction will involve the change in the nucleus of an atom. It often leads to the production of new nucleus. As we can see the equation, there was a transformation from nitrogen nucleus to oxygen atom.

Thus, the particle that was given off in the reaction beta rays is β–. The fact that the mass number remained the same but the atomic number increased by one unit from left to right implies that a beta decay has occurred.

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A rubber ball and a stone of the same size are examples which will have more inertia and is therefore denoted as option A.

This is referred to as the property exhibited by a body in which it has the tendency to remain at rest or in uniform motion.This property is dependent on the mass of the substance as we can deduce that the greater the mass, the greater the inertia and vice versa.

The size of a rubber ball and stone will have different masses in which that of the stone will be greater. This is as a result of the difference in the nature of the substances which are used to make both items mentioned above.

This is therefore the reason why  a rubber ball and a stone of the same size as having more inertia(mass) where chosen as the most appropriate choice in this scenario.

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The distance travelled by the boat towards shore if a force of 4.20x10⁴N is applied is 157.14 m.

Power is a unit of measurement for the amount of work completed in a particular period of time; it may be computed using both work and time. Divide the amount of work by the length of time it takes to do the work to find power. The unit of work is the joule. The unit of power measurement is known as joules of work per second.

The power of the motor = 2.50x10⁵ W

                                     = 2.50x10⁵ N m/s

The time it takes to pull the boat = 26.4 s

The force applied  = 4.20x10⁴ N

Using the formula;

                                     [tex]d = \frac{Pt}{F}[/tex]

where,

P = Power

t = Time taken

F = Force applied

d = Distance travelled

The distance traveled by the boat = 2.50x10⁵ N m /s (26.4 s) /(4.20x10⁴ N)                                                

                                                      =157.14 m

Therefore, the distance travelled by the boat if a force of 4.20x10⁴N is applied is 157.14 m.

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The force needed to give a car of mass 800 kg an acceleration of 2.0 ms-² is 1600N.

The force needed to push an object can be calculated by multiplying the mass of the object by its acceleration as follows:

Force = mass × acceleration

According to this question, a car of mass 800 kg has an acceleration of 2.0 ms−². The force is calculated as follows:

Force = 800kg × 2m/s²

Force = 1600N

Therefore, the force needed to give a car of mass 800 kg an acceleration of 2.0 ms-² is 1600N.

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The magnetic flux through the circular cross-sectional area of the solenoid is 0.00066 Weber or (Tm²).

A wire tightly twisted in a lengthy, thin coil is a solenoid. Due to its design, the solenoid will have an electromagnet inside of it and a weak magnetic field surrounding it if we pass a current through it.

Equation of solenoid's magnetic field:

By utilizing the convolution operation as well as right hand rule, the magnetic field within a large solenoid is appropriately computed, but all of that can be condensed into:

B = (µ₀ × N × I )/ L

where

B = magnetic field (Tesla)

µ₀ = [tex]\pi[/tex]× 10^-7 (Tm/A ) is the vacuum permeability,

N = number of turns on solenoid,

I = electric current (Ampere)

L = length of the solenoid (m)

According to the question;

A diameter of solenoid 6.00 cm.

A radius of solenoid is 3 cm = 0.03m

Number of turns = 750

The length of solenoid is 10cm = 0.1m

Substitute all the values in equation to fine mangetic filed.

B = ([tex]\pi[/tex]×[tex]10^{-7}[/tex] × 750× 15 )/ 0.1

B = 0.035 Tesla

The formula for magnetic flux is

Ф = B×A

   = B×([tex]\pi[/tex][tex]r^{2}[/tex])

   = 0.035×[tex]\pi[/tex]×[tex].03^{2}[/tex]

Ф = 0.000099

Ф = 99×[tex]10^{-6}[/tex] Weber

Therefore, the magnetic flux through the circular cross-sectional area of the solenoid. is 99×[tex]10^{-6}[/tex] Weber.

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Answer:

yes

Explanation:

The heater is placed near the floor because the air currents move upwards so the hot air fills up the whole room. Whereas, an air conditioner is placed near the ceiling because the cold breeze tends to settle down. If it is placed near the floor then it will fill just the bottom of the room with cool air.

Combination to prepare tertiary alcohol:

A Grignard reagent interacts first with an ester to produce a ketone, which then undergoes further reactions to produce tertiary alcohol.

Process to form tertiary alcohol:

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The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.

because of that she will experience a varying electrical field, and thus a varying electric current will be zero.

The maximum positive value will occur when the wire is perpendicular to the magnetic field lines after one-fourth of rotation, and then zero.

Hence option C is correct.

The diagram shows a simple electric generator. The needle that measures electric current will move back and forth between a largely positive and a large negative value.

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The initial temperature of the water was [tex]41.6688^{0} C[/tex].

Given,

Weight of glass 36.5g

specific heat for glass is 840 J/kg⋅C∘.

Initial temperature of glass was  [tex]23.6^{0} C[/tex].

Weight of water is 145*1=145g (Density*Volume=145ml*1g/ml)

Temperature final was [tex]40.8^{0} C[/tex].

specific heat for water is 4186 J/kgâ‹…Câˆ

(m of glass)(Cp of glass)(Tf_glass-Ti_glass) = (m of water)(Cp of water)(Ti_water - Tf_water)

36.5*840*(40.8-23.6)=145*4186*(Ti_water - 40.8)

Ti_water=[tex]41.6688^{0} C[/tex]

In thermodynamics, a material's specific heat capacity, or massic heat capacity as it is sometimes known, is equal to the heat capacity of a sample of the substance divided by the mass of the sample (symbol cp). Informally, it is the quantity of heat needed to raise a substance's temperature by one degree for every unit of mass that is added to it. joule per kelvin per kilogram, or Jkg1K1, is the SI unit for specific heat capacity. For instance, the amount of energy needed to increase the temperature of 1 kilogram of water by 1 K is 4184 joules, making water's specific heat capacity 4184 J kg 1 K 1.

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Galaxy X contains more total mass within 25,000 light-years of its center than Galaxy Y.

A light-year, a significant unit of length used to express astronomical distances, is roughly 9.46 trillion kilometers, or 5.88 trillion miles. A light-year is the distance that light travels in a vacuum in one Julian year, according to the International Astronomical Union. The name "light-year" is occasionally misunderstood as a unit of time since it contains the time measurement word "year". When expressing distances to stars and other distances on a galactic scale, the light-year is most frequently employed, especially in non-specialized situations and popular science publications. The parsec, which comes from astrometry and is the distance at which one astronomical unit subtends an angle of one second of arc, is the unit that is most frequently used in professional astronomy.

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The induced emf in the loop is  -1500 μ V or  - 0.0015 V  .

According to the question

A conducting loop in the form of a circle is placed perpendicular to a magnetic field of 0. 50 t.  

i.e

Magnetic field (B) = 0. 50 T

Area of circle or loop = [tex]\pi r^{2}[/tex]  

Now,

The area of the loop decreases at a rate of 3. 0 × 10⁻³ m/s

i.e

dA = 3. 0 × 10⁻³ meter²

dt = 1 sec  

As per the formula of Induced e.m.f in the loop

emf is dependent on number of turns of coil, shape of the coil, strength of magnet and speed with which magnet is moved. Emf is independent of resistivity of wire of the coil.

[tex]e=-B*\frac{dA}{dt}[/tex]

where A is the area of the loop.

Now ,

Substituting the values in the formula

[tex]e=-B*\frac{dA}{dt}[/tex]

[tex]e= - 0.50 *\frac{ 3 * 10^{-3}}{1}[/tex]    

e = - 0.0015 V

OR

e = -1500 * 10⁻⁶ V

e =  -1500 μ V

Negative just signifies emf will such be induced that current induced will oppose change in magnetic field though it

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The maximum electromotive force induced in the coil by the generator is 56.45 V.

emf(max) = NAB/t

where;

Substitute the given parameter and solve for maximum electromotive force induced in the coil.

Area of the loop = 0.0462 m x 0.0462 m = 0.00213 m²

emf(max) = (353 x 0.00213 x 0.991) / (13.2 x 10⁻³)

emf(max) = 56.45 V

Thus, the maximum electromotive force induced in the coil by the generator is 56.45 V.

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Answer:

2.45s

Explanation:

is explanation needed too?

Magintude of Acceleration = 6 m/s -2

given - Initial velocity = 0

Time = 4s

Distance travelled = S = 48m

Acceleration = a = ?

Thus,

S= ut + 1/2 at2
The rate at which an object's speed changes, or the pace at which velocity changes, is known as acceleration. Newton's second law states that acceleration is inversely proportional to mass and directly proportional to the total sum of all forces acting on an item. It's simple math: if a thing is being pushed by a number of forces, you need to add them up (they may be acting in different directions), then divide the total force by the mass of the object.

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Answer: Speeding up the orbital speed of earth so it escapes the sun require the greater energy.

Explanation: To find the answer, we need to know more about the Orbital and escape velocities.

                   [tex]V_o=\sqrt{gR}[/tex]

                    [tex]V_e=\sqrt{2gR}[/tex]

Thus, we can conclude that, the speeding up the orbital speed of earth so it escapes the sun require the greater energy.

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Answer: Two students measure the time constant of an RC circuit. The first student charges the capacitor using a 12 V battery, then lets the capacitor discharge the resistor. The second student repeats the experiment using a 5 V battery. The student who charged the capacitor using 5V will measures the longer time constant.

Explanation: To find the correct answer, we need to know about the time constant of RC circuit.

                             [tex]T=CR[/tex]

                             [tex]C=Q/V[/tex]

Thus, we can conclude that, the lesser voltage source will take longer time constant.

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Answer:

4.8 Ω

Explanation:

Ohm's law

V = IR

 or    V/I = R

        12/2.5 = R = 4.8 Ω

The term for the principal that an object in motion remains in motion until it is met by an outside force is called inertia

Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force .This principal is named as inertia .

Every matter have inertia , a property to remain in that very position until unless it is been forced on them to change their position .

Inertia is a property of matter that causes it to resist changes in velocity (speed and/or direction). According to Newton's first law of motion, an object with a given velocity maintains that velocity unless acted on by an external force. Inertia is the property of matter that makes this law hold true.

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A. The acceleration during the slide is 6.86 m/s²

B. The time taken to slide until he stops is 1.2 s

F = μN

F = 0.7 × 798.7

F = 559.09 N

a = F / m

a = 559.09 / 81.5

a = 6.86 m/s²

a = (v – u) / t

t = (v – u) / a

t = (0 – 8.23) / -6.86

t = 1.2 s

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The mechanical energy of the given flying object is 10,340 MJ. So the correct choice is 10,340 MJ.

Mechanical energy: The mechanical energy of an object is the sum of its potential energy and kinetic energy.

The formula for the mechanical energy E is:

E=K+U

where K is the kinetic energy and U is the potential energy.

Kinetic energy: The energy possessed by an object due to the motion.

The kinetic energy is given by the formula,

K=(1/2)*(mv^2)

where m is the mass of the object and v is the velocity of the object.

Potential energy: The energy possessed by an object due to its relative position from a given point.

The potential energy is given by the formula,

U=m*g*h

where g is the acceleration due to gravity and h is the height of the object from the ground.

Substitute K=(1/2)*(mv^2) and U=m*g*h in the formula of the mechanical energy to get the following formula,

E=(1/2)*(mv^2)+m*g*h

Given that m=80000 kg, h=10 km, and v=900 km/h, and the value of g is 9.8 m/s^(-2), the value of the total mechanical energy is,

E=(1/2)*(80,000 kg)(900 km/h )^2+(80,000 kg)*(9.8 m/s^(-2))*(10 km)

Note: 1 km= 1000 m and 1 km/h = 5/18 m/s. 1 MJ = 10^(6) J

E=(1/2)*(80,000 kg)*(900*(5/18) m/s )^2+(80000 kg)*(9.8 m/s^(-2))*(10000 m)

E=(1/2)*(80,000 kg)*(250 m/s)^2+7840*10^(6) J

E=2500*10^(6) J+7840*10^(6) J

E=10340*10^(6) J

E=10340 MJ

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The director is 132 meters away from the marching band when the sound travels to him at 330 m/s.

The speed of sound is 330 m/s.

Time taken by sound to travel = 0.40 seconds

Speed = Distance/Time

The temperature of the air that the sound travels through affects the speed of the sound. Assuming an air temperature of 59 degrees Fahrenheit (15 degrees Celsius), the speed of sound at sea level on Earth is 761.2 mph (1,225 km/h).

The speed of sound is slowed down because gas molecules move more slowly at lower temperatures; sound travels more quickly through warmer air. As a result, higher in the atmosphere, where it is colder, the speed needed to break the sound barrier drops.

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The distance between the fringes (y) will decrease.

What is meant by double slit?

To solve this problem it is necessary to apply the concepts related to double split conditions. The equation describing this effect is given by

dsinθ   = mλ

λ = dsinθ /m

λ = wavelength

d= distance between slits

m = Any integer, representing the repetitions of the spectrum

If  θ is small, then sinθ = y/L  and the previous equation can be given as

λ = dy /mL

L = Length from screen with slits

y = distance between fringes

From this last equation we can realize that if the separation between the openings (d) is increased, the distance between the fringes (y) will decrease.

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Answer:

KE = 1/2 M v^2

KE = 60/2 * 25^2 = 18750 Joules         initial Kinetic Energy

W = Fs * d        distance thru which friction acts

d = W / Fs = 18750 J / 50 N = 375 m

A new CFD method for determination of translational is RANS simulations

Using numerical analysis and data structures, the field of computational fluid dynamics (CFD) studies and resolves issues involving fluid flows. The computations necessary to model the fluid's free-stream flow and its interactions with surfaces constrained by boundary conditions (both liquids and gases) are done on computers. Better answers can be found using high-speed supercomputers, which are frequently needed to address the most challenging issues.

Five prominent CFD methods -

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