Which gear combination would you like to use when you want to pedal with as few strokes as possible and have your wheels turn as many times as possible

The energy of the violet light emitted by a hydrogen atom with a wavelength of 410. 1 nm will be 4.85 * [tex]10^{-19}[/tex] J

Light energy is a form of electromagnetic radiation that comprises wavelengths that the common human eye can detect. Light is a type of kinetic energy. It consists of particles like photons, which have wave-like properties. It can affect the physiology of an organism, like photosynthesis or the sense of sight.

Energy = h*c / lambda

where

h = plank's constant  =  6.626 * [tex]10^{-34}[/tex] J-s

c = speed of light  = 3 * [tex]10^{8}[/tex] m/s

lambda = wavelength = 410. 1 nm = 410. 1  * [tex]10^{-9}[/tex] m

Energy = 6.626 * [tex]10^{-34}[/tex] *  3 * [tex]10^{8}[/tex]  / 410. 1  * [tex]10^{-9}[/tex]

            = 4.85 * [tex]10^{-19}[/tex] J

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The charge (sign and magnitude) of a particle of mass 1.45 g be for it to remain stationary when placed in a downward-directed electric field of magnitude 660 N/C is -2.19C

A particle with some charge moving in an electric field experience force due to electric field.

For the charged particle to remain stationary the force due to electric field and the weight of the particle should be equal.

Force due to electric field = QE

where, Q is the charge of the particle

            E is the electric field = 660N/C

Weight of the particle = mg

where, m is the mass of particle = 1.45g = 0.00145kg

            g is the acceleration due to gravity = 10m/s²

Hence, force due to electric field = weight of the particle

QE = mg

⇒ Q × 660 = 0.00145 × 10

⇒ Q = 2.19 C

Since the electric field is downward, hence to balance the charged particle, the force applied should be in the upwards direction. So, this is possible if the charge Q is negative.

So, the charged particle has a charge of -2.19C

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The wavenumber and (b) the wavelength of the radiation used by an fm radio transmitter broadcasting at 92. 0 mhz will be  31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex] and 0.032 * [tex]10^{2}[/tex] m respectively

Forms of electromagnetic radiation like radio waves, light waves or infrared (heat) waves make characteristic patterns as they travel through space. Each wave has a certain shape and length. The distance between peaks (high points) is called wavelength.

Wavenumber, also called wave number, a unit of frequency, often used in atomic, molecular, and nuclear spectroscopy, equal to the true frequency divided by the speed of the wave and thus equal to the number of waves in a unit distance.

wavelength = ?

frequency = 92 m Hz = 92 * [tex]10^{6}[/tex] Hz

speed of light = 3 * [tex]10^{8}[/tex] m/s

speed of light = frequency * wavelength

wavelength = speed of light  / frequency

                     = 3 * [tex]10^{8}[/tex]  / 92 * [tex]10^{6}[/tex]

                     = 0.032 * [tex]10^{2}[/tex] m

wavenumber = 1 / wavelength

                      = 1 / 0.032 * [tex]10^{2}[/tex] m

                      = 31.25 * [tex]10^{2}[/tex] [tex]m^{-1}[/tex]

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Answer:

Voltage will be 1/2 original

Explanation:

V = I R        if  I  is constant

V = k R       now multiply both sides by  1/2

1/2 V  = k 1/2 R     <===== you can see the voltage is halved too

The amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).

Work is done when energy is transferred from one store to another.

Work is also done when a force causes an object to move.

The amount of work done by the gravitational field of the earth do on the rock is calculated as follows;

W = Fd

where;

W = (mg)d

W = (3 x 9.8)d

W = 29.4 d

Thus, the amount of work done by the gravitational field of the earth do on the rock is 29.4 d (J).

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The mural paintings at Dura-europos suggested narrative scenes were part of the component of the decoration of many late antique synagogues in this type of context.

This refers to a type of graphic work which is usually done on walls, ceilings etc. This is usually done by a professional known as a painter and uses different techniques to get the right shades and shape.

This type of painting was used at Dura-europos in which different narrative scenes served as a component for the many late antique synagogues in this aspect and context of artwork present during that period of time.

This therefore makes narrative scenes the most appropriate choice.

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[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]

[tex]\leadsto[/tex] The elastic potential energy of a spring can be said to be the energy possessed by a spring due to a force that compresses or stretches the spring. This can also be said to be the work which is done by the applied force against the restoring force of the spring, which is stored as the elastic potential energy.

The elastic potential of a spring can be expressed as:

▪ [tex]\longrightarrow \sf{PE= \: \dfrac{1}{2} kx}[/tex]

[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]

[tex] \bm{PE= \: \dfrac{1}{2} kx}[/tex]

No, because superconductivity cannot occur if there is resistance

In addition to explaining electrical resistance, equilibrium distance theory also foretells the existence of superconductivity. According to its postulates, electrical resistivity decreases with distance from the equilibrium. There is only superconductivity at zero distance, with no resistance

The ability of some materials to transmit electric current with virtually little resistance is known as superconductivity.

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The frequency and the period are inversely proportional.

[tex]f=\dfrac{1}{T}[/tex] where T is the period

We're given:

Because the frequency and the period are reciprocals of each other, we can find the period of the sound by finding the reciprocal of the frequency:

[tex]T=\dfrac{1}{1000}[/tex]

[tex]T=\dfrac{1}{1000}[/tex]

The spring stiffness constant is  796.25 N/m.

A spring's "spring constant" is a property that quantifies the relationship between the force acting on the spring and the displacement it produces.

The slope of the plot of the straight line W vs x represents the spring constant, K. Weight (W) is defined as mass times the gravitational acceleration (g), where g is equal to approximately 980 cm/sec².

Mass of the fish = 2.6 kg

Length of the fisherman's scale, x = 3.2 cm

                                                          = 3.2/100 m

                                                          = 0.032 m

We have to find the value of k;

We know that,

                       F = - kx

Where k is the spring constant,

           F is the force applied over x

           x is the displacement by the spring expressed in N/m.

                       mg = - kx

                       g = 9.8 m/s²

                       [tex]K = \frac{mg}{x}[/tex]

                           [tex]= \frac{2.6*9.8}{0.032}[/tex]

                           [tex]= 796.25 N/m[/tex]

Therefore, the spring's constant is 796.25 N/m.

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The possible impact of the maunder minimum on earth is a) lower temperatures

The Maunder Minimum, also known as the "prolonged sunspot minimum", was a period around 1645 to 1715 during which sunspots became exceedingly rare. During a 28-year period (1672–1699) within the minimum, observations revealed fewer than 50 sunspots.

The most recent grand solar minimum occurred during Maunder Minimum (1645–1710), which led to reduction of solar irradiance by 0.22% from the modern one and a decrease of the average terrestrial temperature by 1.0–1.5°C

During the Maunder Minimum, the Sun emitted less strong ultraviolet light, and so less ozone formed. The decrease in ozone affected planetary waves, the giant wiggles in the jet stream that we are used to seeing on television weather reports

correct option is

a) lower temperatures

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Poor communication

This is an example of a conflict based on poor communication. Because of the reason is that in customer service a person should have skills to communicate in a good manner. It is important because if the person has this skill that he can communicate with others best.

Then he can impress the customer and realize customer about the qualities of their product. In every kind of business, communication skills play major role. Therefore, both john and Henry are confused as their priorities should be on focus to improve their communication skills.

When there is a disconnect between what is said and what is heard, poor communication frequently results. In other words, the individual to whom the communication is being directed misinterprets what you are trying to convey. There is no longer mutual understanding.

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Answer:

2k

Explanation:

100W X 10h = 1000Wh = 1KWh thus cost is 2k

A Final statement or concluding statement

The equation that relates wavelength, frequency, and speed of light is

c=λ × ν

To find wavelength, λ = c / f

λ = wavelength in meters

ν = frequency in Hertz (Hz) or 1s or [tex]s^{-1}[/tex].

= 3 ×[tex]10^{8}[/tex] m/s / 4. 75 × [tex]10^{14}[/tex] [tex]s^{-1}[/tex](Using velocity of light as 3 x 108 m/s)

= [tex]6.3[/tex]×[tex]10^{-7}[/tex]m

= [tex]6.3[/tex] × [tex]10^{2}[/tex] nm

Electromagnetic radiation is an electric and magnetic disturbance that travels at the speed of light through space. It has no mass or charge and travels in packets of radiant energy known as photons or quanta.Radio waves and microwaves, as well as infrared, ultraviolet, gamma, and x-rays, are examples of EM radiation.  Electromagnetic radiation moves at a constant speed in the form of a waveform.

The relationship of velocity to wavelength and frequency reveals the wave characteristics of EM radiation.

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A concave mirror is also referred to as a converging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that is typically curved inward and away from the source of light.

Basically, one common use of a convex mirror include the following:

A convex mirror is also referred to as a diverging mirror and it can be defined as a type of mirror that is designed and developed with a reflective surface that typically bulges outward toward the source of light.

Basically, one common use of convex mirror is as rear-view mirrors in automobiles vehicles.

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Answer:

that's all I could do.hope it helps.

Time Period of Oscillation-1/32800 Hz

Time Period of Oscillation - 3.04 × 10¹.

Two related parameters are oscillation frequency and period. Actually, they are the opposites of one another. As a result, the following formula can be used to determine the quartz crystal's oscillation period:

Time Period of Oscillation = 1/Oscillation Frequency

where.

Frequency of Oscillation-32.8 KHz

Frequency of Oscillation - 32800 H₂

Therefore

Time Period of Oscillation-1/32800 Hz

Time Period of Oscillation - 3.04 × 10¹.

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The time period of oscillation is 3.04×10

what is time period?

A time period (denoted by 'T'' ) is the time taken for one complete cycle of vibration to pass a given point.[1] As the frequency of a wave increases, the time period of the wave decreases. The unit for time period is 'seconds'.

The related parameters are oscillation frequency and period.They are the opposite of the another.As a result the formula to be used is

frequency=1/time

given:

Frequency of oscillation=32.8khz=32800hz

therefore,

time period of oscillation=1/32800hz

time period of oscillation=3.04×10

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Answer:

[tex] \boxed{\sf54 \: kobo}[/tex]

Explanation:

Energy = Power × Time

Energy = 900× 4 ×5 = 18000 wh

Energy = 18000 wh = 18 kwh

Cost of 1 unit electricity = 3 kobo

cost of 18 unit electricity= 18 × 3 = 54 kobo

Answer:

54 Kobo

Explanation:

Units of electricity are measured in kilowatt hours (kWh).

Given information:

Convert the wattage of the electric iron from watts to kilowatts.

1000 watts (W) = 1 kilowatt (kW)

⇒ 900 watts = 1 ÷ 1000 = 0.9 kilowatts

This means that the power consumption of the electric iron is 0.9 kW per hour of use.

Total hours spent pressing clothes:

= 4 hours per week for 5 weeks

= 4 × 5

= 20 hours

Total power consumption:

= number of kW × number of hours

= 0.9 × 20

= 18 kWh

To find the total cost, multiply the total kWh by the cost per kWh:

⇒ Cost = 18 × 3 = 54 Kobo

Answer:

The forces could be gravity, friction between the car and the ground, the force Katie is applying and the normal reaction.

The speed of the spaceship relative to the galaxy is 0.99999995c.

A light-year measures distance rather than time (as the name might imply). A light-year is a distance a light beam travels in one year on Earth, which is roughly 6 trillion miles (9.7 trillion kilometers). One light-year equals 5,878,625,370,000 miles. Light moves at a speed of 670,616,629 mph (1,079,252,849 km/h) in a vacuum.We multiply this speed by the number of hours in a year to calculate the distance of a light-year (8,766).

The Milky way galaxy is 100,000 light years in diameter.

The galaxy's diameter is a mere 1. 0 ly.

We know that ;

[tex]L = L_0 \sqrt{1-\frac{v^2}{c^2} }[/tex]

L = 1 light year

L₀ = 100,000 light year

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]1 = 100,000 \sqrt{1-\frac{v^2}{(3*10^8)^2} }[/tex]

[tex]\frac{1}{100,000} = \sqrt{1-\frac{v^2}{c^2} }[/tex]

[tex]v = 0.999999995[/tex] [tex]c[/tex]

Therefore, the speed of the spaceship relative to the galaxy is 0.99999995c.

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The near-point distance of the eye is 11 cm.

The near-point distance of the eye is the closest possible distance an object can be from the eye in order for its image to be formed on the retina. It can also be termed the closest distance of accommodation.

The near-point distance of the eye in the given scenario can be calculated using the lens formula given below:

1/f = 1/v + 1/u

where;

f = focal length

v = image distance

u = object distance

From the data provided;

f = 2.20 cm

v = 2.75 cm

u = ?

Solving for u:

1/u = 1/f - 1/v

1/u = 1/2.20 - 1/2.75

1/u = 0.91

u = 11 cm

In conclusion, the lens formula is used to determine the eye's near-point distance.

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The electric field inside a metallic conductor that is in electrostatic equilibrium is zero.

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.

Since there are many electrons, there is also a strong force of repulsion between them. Therefore, the electrons travel to the conductor's surface to reduce the repulsion between them. Therefore, we can state that there is no net charge present inside the conductor.

So, The electric field inside a metallic conductor that is in electrostatic equilibrium is zero.

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Newton’s second law of motion states that the acceleration of a person or object is proportional to the force applied to it and inversely proportional to its mass.

Answer:

Explanation:

The Sun reaches us by propagating through the vacuum of space. Sunlight reaches the Earth in about 8 minutes and 20 seconds. When this energy reaches the Earth's atmosphere, both conduction and convection play key roles to scatter it throughout the planet.

Answer: The heat from the sun reaches us through radiation and processes such as conduction and convection helps to scatter that heat on the surface of our planet.

Explanation:

The phenomenon behind the Sun's heat reaching us is radiation. It does this by propagating through the vacuum of space.

The amount of time it takes for the sunlight to reach us on Earth is approximately 8 minutes and 20 seconds. When it reaches our planet, conduction, the movement of heat or electricity through a medium or passage, as well as convection, the rising of hotter and less dense material and sinking of colder and more dense/denser material, helps to scatter the heat on Earth's surface.

A stationary observer observes a spaceship fly by. As the spaceship's velocity gets closer to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This would also lead to the feeling of a faster time on the clock.

This refers to the speed in which light waves propagate through different materials.

Hence, we can see that based on the fact that the observer is stationary and is observing a spaceship that is in outer space get to the speed of light, the stationary observer would see the spaceship as being “blue-shifted” on the visible light spectrum.

This is because the observer would come to the conclusions that the

.

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The earliest astronomical records appear to have been made by the ancient Chinese, Egyptians, and Babylonians in order to determine when to hunt plants and animals

A conceptual investigation of the properties of astronomical records and the links that exist between various types of data yields an astronomical records data model.

The paintings on cave walls that date back 30,000 years are the earliest records of astronomical observations that we have. The night sky piqued their keen curiosity in the ancient Egyptians. They were particularly captivated by two bright stars that were constantly seen orbiting the North Pole.

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The work done by the unstretched spring is 5 J.

Hooke's law states that the extension of a given material is directly proportional to the force applied as log as the elastic limit is not exceeded. Thus we have to know that; F = Ke

F = force applied

K = force constant

e = extension

Using the graph;

K = F/e

F = 200N

e = 5 cm or 5 * 10^-2 m

K = 200N/ 5 * 10^-2 m

K = 4000 N/m

Now;

Work = 1/2Ke^2

Work = 0.5 *  4000 N/m * (5 * 10^-2 m)^2

Work = 5 J

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The power expended is calculated as 91,100 W.

We know that the acceleration can be obtained by the use of the equation;

v = u + at

v = final velocity

u = initial velocity

t = time

a = acceleration

a= v - u/t

a =  27 - 0/ 5.2 = 5.2 m/s^2

Thus;

v^2 = u^2 + 2as

but u= 0 m/s

v^2 = 2as

s =  v^2/2a

s = (27)^2/2 * 5.2

s = 70 m

Now;

Work done =  1300 kg * 5.2 m/s^2 * 70 m = 473200 J

Power = 473200 J/5.2 seconds

Power =  91,100 W

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Two vectors have magnitudes of 10 and 15. The angle between them when they are drawn with their tails at the same point is 65. The component of the longer vector along the line of the shorter is 6.33 .

A vector is a quantity or phenomenon that has two independent properties: magnitude and direction. The term also denotes the mathematical or geometrical representation of such a quantity. Examples of vectors in nature are velocity, momentum, force, electromagnetic fields, and weight.

The taller component will be 15 . There will be two components taller component , one in the direction of shorter component and other perpendicular to the shorter wavelength .

The component of longer wavelength in the direction of shorter will be  

= 15 cos (theta ) = 15 cos (65) = 6.33

where theta  is the angle between both the vectors

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The mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

Mechanical energy is a special class of energy that an object contains due to its relative position or motion/movement level.

This type of energy (mechanical energy) is associated with both kinetic motion energy and potential (stored) energy.

In conclusion, the mechanical energy of a system of objects is conserved only when the work done by the resultant external force is zero.

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