Show that an electron falling from n = 4 to n = 3 in the hydrogen atom will produce a photon in the infrared region.

The net capacitance C of each network of capacitors is 7.33 pF.

The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.

Mathematically, this capacitance is given as;

1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅

where;

The capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.

Ct = C₁ + C₂ + C₃ + C₄ + C₅

In the given circuit, the net capacitance is calculated as follows;

C₂  and C₃ are in series to one another, the net capacitance of these two is calculated as;

1/Ct = 1/C₂ + 1/C₃

1/Ct = 1/2 + 1/4

1/Ct = 3/4

Ct = 4/3 pF

Ct = 1.33 pF

Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄

Ct = 1.33 pF + C₁ + C₄

Ct = 1.33 pF   +  1 pF   +   5 pF

Ct = 7.33 pF

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The relationship that would be able to describe this is that the gas does not dissolve into the water at a temperature below -5.83 units.

This is the term that is used to refer to the data types that includes Numbers such as weight, cost, and measurements

The descriptive and conceptual information gathered through surveys, interviews, or observation is referred to as qualitative data.

With a slope of 0.036, the volume v varies linearly with temperature T.

Volume v grows by 0.036 units for every unit increase in temperature as a result.

The volume of the gas dissolved in water is 0.21 units when the water's temperature is zero.

The smallest volume that is feasible is 0 because the volume cannot be negative. At a certain temperature, this occurs. This is the temperature at that time. Let's refer to it as Tc.

we have

Tc = -0.21 / 0.036

= -5.83

This means that the gas does not dissolve into the water below a temperature of -5.83 units.

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The answers include the following:

This is referred to as the force per unit area of a substance and the unit is Pascal. This parameter varies with depth such that the higher the pressure, the deeper the ocean or water body and vice versa.

The pressure variations affects the ability to explore the ocean such that it exerts a force on the diver thereby slowing him/her down and also not being able to reach certain areas.

The challenges of scuba diving include drowning and decompression sickness which is characterized by dissolved gasses exiting solution to form bubbles inside the body.

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The final temperature of the mixture or the equilibrium temperature of the mixture is 4.4⁰C.

option E is the correct answer.

The final temperature of the mixture or the equilibrium temperature of the mixture is determined by applying the principle of conservation of energy.

Heat lost by the lead = Heat gained by the water

m₁c₁(T₁ - T) = m₂c₂(T - T₂)

where;

0.3 x 128 x (100 - T) = 0.2 x 4200 x (T - 0)

3840 - 38.4T = 840T

3840 = 878.4T

T = 3840/878.4

T = 4.4⁰C

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If the basketball weighed more after it was inflated with air than when it was deflated, this show that gas is matter because it takes up space and has mass.

Generally matter can be described as a physical substance. Descriptively it can be said that anything that takes up space and has mass is called as matter.

Clearly, an inflated basketball is bigger in size than a deflated basketball. So, it can be said that with the help of air the inflated basketball has gained size. The basketball weighed more after it was inflated with air than when it was deflated, meaning the air has mass.

Therefore, this show that gas is matter because it takes up space and has mass.

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Answer:

Potholes, large cracks, and a generally bumpy (and not smooth) road.

Explanation:

Rural roads tend to be poorly kept as they are not usually paid for by the city's tax money.

Poor road characteristics can include;

Potholes, fallen trees, uncovered water drains, and shoulder drop off (the shoulder – right side of the road past the solid white line – drops more than two inches from the road's surface).

SOURCE:

https://www.edgarsnyder.com/car-accident/cause-of-accident/bad-roads/hazardous-roads-types.html

Answer: series circuit

Explanation:

First 2 answers are garbage.  In Parallel circuits electrons have 2 or more paths to follow.  In Series circuits, there is only one path.

(a) The magnitude of the magnetic field at the point of the proton moving in the negative direction is 2.1 x 10⁻⁹ T.

(b) The magnetic force direction experienced by the proton moving in the negative direction is 4.71 x 10⁻²² N.

The magnitude of the magnetic field at the point of the proton moving in the negative direction is calculated as follows;

F = qvB = kq²/r²

qvB = kq²/r²

B = kq²/qvr²

B = kq/vr²

where;

B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.4 x 10⁶ x 0.7 x 10⁻³ x 0.7 x 10⁻³ )

B = 2.1 x 10⁻⁹ T

The magnetic force direction experienced by the proton moving in the negative direction is calculated as follows;

F = qvB

F = 1.602 x 10⁻¹⁹ x 1.4 x 10⁶ x  2.1 x 10⁻⁹

F = 4.71 x 10⁻²² N.

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[tex]{ \boxed{ \red{ \sf{W = 10370.652 \: J}}}}[/tex]

Explanation:

Given,

[tex]{ \blue{ \sf{μ = 3}}}[/tex]

[tex]{ \blue{ \sf{ T= 300K}}}[/tex]

[tex]{ \blue{ \sf{ V_{1} = 4L}}}[/tex]

[tex]{ \blue{ \sf{ V_{2} = 1L}}} [/tex]

[tex]{ \blue{ \sf{W = \: ?}}}[/tex]

[tex]{ \blue{ \sf{R = 8.31 \: J/mol/K}}}[/tex]

[tex]{ \purple{ \sf{W = μRT \: l_{n}[ \frac{ V_{2}}{ V_{1} }}]}} [/tex]

[tex]{ \purple{ \sf{W = μRT[ l_{n} V_{2} - l_{n}V _{1}}]}}[/tex]

[tex]{ \purple{ \sf{W = 2.303μRT[ log_{1} - log_{4}]}}}[/tex]

[tex]{ \purple{ \sf{W = 2.303 \times 3 \times 8.31 \times 300(0 - 0.6021)}}}[/tex]

[tex]{ \purple{ \boxed{ \green{ \sf{W = 10370.652 \: J}}}}}[/tex]

The gravitational force acting on a 70.0 kg object standing on the Earth’s surface is 687.37N

What is gravitational force ?

A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.

The square of the distance between two things has an inverse relationship with the force of gravity, which depends directly on the masses of the two items. Accordingly, the force of gravity increases with mass but decreases as object distance increases.

F = G (M*m) /r2

F =  6.674×10−11 * 5.972*10^24*70/ (6.371*10^6)^2

  = 687.37N

F = gravitational force

G = gravitational constant

m = mass of the body

M = mass of the earth

r = distance between them

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The amount of work that the force does as the particle crosses the 21.0 J. Work done refers to the amount of energy used by a force that move an object.

A force's output is defined as the product of the force's component acting in the displacement's direction and its magnitude. Formula. The following formula can be used to determine work: multiply force by distance traveled inside the direction of force. W = F × d.

A force is said to have completed its work when it exerts itself on an object and the object really moves in the direction of the applied force. A product of the force as well as the object's displacement in the force's direction is the work that the force produces.

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Answer:

Explanation:

The work is numerically equal to the area of ​​the figure lying under the graph of the function.

(a)

A₁ = (1/2)·80·6 = 240 J

(b)

A₂ = (1/2)·40·3 = 60 J

(c)

A = A₁ + A₂ = 240 + 60 = 300 J

iam for su

r it is A

Explanation:

ertically. ai What type of energy is stored in a compressed spring? [1 ii What happens to this stored energy when the handle of the plunger is released?

A i. what

The horizontal velocity of the projectile as it leaves the launcher is 35 m/s.

The time of motion of the projectile is calculated by applying the following kinematic equation as shown below.

h = vt + ¹/₂gt²

where;

h = 0 + ¹/₂gt²

h = ¹/₂gt²

t = √(2h/g)

t = √(2 x 0.4 / 9.8)

t = 0.286 s

The horizontal velocity of the projectile as it leaves the launcher is calculated as follows;

v = x/t

where;

v = 10 m / 0.286 s

v = 35 m/s

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The aircraft after 5s later when the gun was fired was at a distance of 1675m flying with a speed of 335m/s.

Air force jet was flying with a speed of 335m/s and at that time gun was fired by anti aircraft.

The formula of speed is S= distance(d)/time(t)

The unit of distance is in meters,

Speed is in meter/second

Time is in seconds

Substituting the values given in this equation

335m/s= d/5s

d= 335*5

d= 1675m

Thus, after 5 seconds from the gun fired by anti aircraft, the airforce jet will be 1675m far.

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The care travelled a distance of 69.87 m.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. SI unit of acceleration is meter/second² (m/s²).

Given parameters:

Initial velocity of the car; u = 10.5 m/s.

Final velocity of the car; v = 21.7 m/s.

Time; t = 4.34 s.

The acceleration of the moving car; a = (Final velocity of the car - Initial velocity of the car)/time

= (  21.7 m/s -  10.5 m/s)/4.34 s.

= 2.58 m/s².

Hence, the car move  a distance during this acceleration; s = ut +1/2 at²

= 10.5×4.34 + 1/2 × 2.58×4.34² m.

= 69.87 m.

Hence, the car move a distance of 69.87 m during this acceleration.

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Based on the calculations, the acceleration of this train is equal to B) 5 m/s².

Mathematically, the acceleration of this train can be calculated by using this formula:

a = (V - U)/t

Where:  

Substituting the given parameters into the formula, we have;

Acceleration, a = (45 - 5)/8

Acceleration, a = 40/8

Acceleration, a = 5 m/s²

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Complete Question:

Until a train is a safe distance from the station it must travel at 5 m/s. Once the train is on open track it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train? (Round your answer to the nearest whole number.)

A) 4 m/s²

B) 5 m/s²

C) 6 m/s²

D) 7 m/s²

The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * [tex]10^{8}[/tex] km

P² = a³

P = Orbital period

a = Average distance

P = 1.88 years

a³ = 1.88²

a³ = 3.53

a = 1.52 AU

a = 1.52 * 1.496 * [tex]10^{8}[/tex] km

a = 2.27 * [tex]10^{8}[/tex] km

The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * [tex]10^{8}[/tex] km

Therefore, the average distance from mars to the sun is 2.27 * [tex]10^{8}[/tex] km

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There is a temperature of 153.56K in that area.

The Boltzmann constant, often known as Boltzmann's constant and denoted by the letters k or k B, establishes the relationship between absolute temperature and the amount of kinetic energy held within each molecule of an ideal gas.

A gas's temperature is a representation of its molecules' typical average translational kinetic energy. The molecules in a hot gas move more quickly than those in a cold gas; the mass remains constant, but the kinetic energy—and consequently the temperature—is higher due to the higher velocity of the molecules.

PV=nKT

where,

K=1.380649 × 10-23 m2 kg s-2 K-1

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True. Rocks have different properties.

Rocks are naturally formed, consolidated material composed of grains of one or more minerals. Rocks are grouped into three categories depending on their origin:

There are many physical properties of rocks, they may include; color, crystal form (or shape), hardness, luster (or shine), density, texture and fracture (how the rock disintegrates)

In conclusion, all rocks have different physical properties; texture and hardness are few of the possible properties.

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A wire is capable of carrying a load W without snapping. It is divided in half, equally. Each component's maximum load capacity is W.

The maximum load supported by the cable is directly proportional to the breaking stress.

Since,

Breaking stress=F/A

where F is the force and A is the cross-sectional area

As we see that the breaking stress is independent of the length of the cable. So, if the cable is cut in two equal parts, the maximum load that can be supported by either part of the cable remains the same as before.

So, the answer would be W.

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The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ

Resistance of resistor,

Total equivalent resistance, R = R1 + R2 + R3 + R4

R = 12000 + 18 + 32 + 38000

R = 50.1 KΩ

Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.

Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ

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meters per second

What is Velocity?

The pace at which an object's position changes in relation to a frame of reference and time is what is meant by velocity. Although it may appear sophisticated, velocity is just the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) and direction. Its SI equivalent is the meter per second (ms-1). A body is considered to be accelerating if the magnitude or direction of its velocity changes.

Therefore, it will measured in meters per second.

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In arrangement B) , mirrors are placed mutually perpendicular to each other .

A retroreflector is a device or surface that reflects radiation back to its source with minimum scattering.

When two mirrors are placed perpendicular to each other , and if a  light ray that strikes an object consisting of two mutually perpendicular reflective surfaces is reflected back exactly parallel to the direction to the source it came from.

out of all arrangements , it can be observed that in arrangement B) , mirrors are placed mutually perpendicular to each other .

hence , correct option will be

option B

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The correct answer of minimum wavelength Lambdamin of light radiated is 1.3777 x 10 ^-2 m.

What is bremsstrahlung radiation?

Bremsstrahlung, also known as "braking radiation" or "deceleration radiation," is electromagnetic radiation that is produced when a charged particle decelerates when it is deflected by another charged particle. This is commonly an electron by an atomic nucleus.

The energy of the photon is given by:

E=hν=hcλE=hν=hcλ

Here

• h=6.63⋅10^−34 J⋅s=6.63⋅10^−34 J⋅s is the Plank's constant and c is the speed of light and λ is the wavelength

λ= hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV

= 4.136×10^−15 eV·s (2.998x10^8 m/s)/9^4 eV = 1.3777 x 10 ^ (8-15-4) = 1.3777 x 10 ^-11 m

= 1.3777 x 10 ^-2 m

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An object is dropped to the ground and its momentum increases. Due to this influence of the earth's gravitational pull, the total momentum of the free-falling body is conserved and earth and object is exerting equal and opposite forces on each other , hence newton's third law of motion  is also applied

When a body is freely falling , both the body and earth will exert an equal and opposite force on each other due to newton's third law of motion which says every action has a reaction .

The Earth itself accelerates (ever so slightly) toward the object at the same time. The opposite-direction velocity of the Earth will be exactly proportional to the ratio of the object's mass to Earth's mass, thus exactly balancing momentum , hence momentum is conserved .

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The gravitational force acting on the 1.4 kg mass at 1.3 x 107 m above the Earth's surface

However, gravity is a force in the broadest sense since it characterizes the resulting interaction between two masses. The warping of spacetime and the motion of objects thru the stretched spacetime are the main causes of gravitational effects. However, the result seems to be the effect of using force.

According to string theory, the universe must include at least four additional spatial dimensions in addition to the three that we can now perceive. Gravity is so weak, say the best theories of string theory.

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