If a wave has a wavelength of 4.5 meters and a period of 0.007 second, what’s the velocity of the wave? be sure to show the steps of your work.

Answers

Answer 1

Answer:

v = λ f      wavelength * frequency

v = λ / P

v = 4.5 n / .007 sec = 643 m/s


Related Questions

A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s, what is the terminal speed of the marble in m/s?.

Answers

The terminal speed of the marble is 0.588 m/s.

Given:

We know that,

F = mg                          ......(1)

where,

F = force

m = mass

g = acceleration due to gravity

Also,

v = F/k                            ......(2)

where,

v = terminal speed

k = proportionality constant

Substituting the value of F from equation (1) in equation (2)

v = mg/k                             .......(3)

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

To find,

v =?

Put the values in equation (3)

v = mg/k        

v = 0.03(9.8)/ 0.500

= 0.294/0.500

= 0.588 m/s

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The resistivity of the material of a wire is 1. 76 × 10-8 ωm. if the diameter of the wire is 2 × 10-3 m and its length is 2 m, what is its resistance?

Answers

The resistivity of the material of a wire is 1. 76 × 10-8 ωm. if the diameter of the wire is 2 × 10-3 m and its length is 2 m, then its resistance is  0.0112Ω

The resistance of a wire is solely determined by its length, cross-section area, and resistivity. So we calculate the resistance of a wire by knowing its diameter, length, and resistivity (which varies depending on the material). The resistance provided by a unit length of conductor with a unit area of cross-section is defined as resistivity. Its SI unit is the ohm-meter.

It does not alter as the wire length increases, but resistance increases fourfold when the wire is stretched to double its original length. Resistivity is defined as the electrical resistance per unit length and cross-sectional area of a conductor.

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What is the volume of a solution, in milliliters, that contains 1. 5 g lino3 and has a concentration of 0. 40 m?

Answers

The volume of a solution, in milliliters, that contains 1. 5 g lino3 and has a concentration of 0. 40 m will be 54.35 m L.

Molarity is defined as the moles of a solute per liters of a solution. Molarity is also known as the molar concentration of a solution.

Molarity = n / V

where

n = number of moles

V = volume of solution in l

Molar mass of [tex]LiNO_{3}[/tex] = M of Li + M of N + 3 * M of O

                                    = 7 + 14 + (3*16)

                                    = 69 g/ mole

since , M = n / V

           n = m / molar mass of  [tex]LiNO_{3}[/tex]

substituting the value of n

Molarity  = (m / molar mass of  [tex]LiNO_{3}[/tex]  ) / V

V = m / molar mass of  [tex]LiNO_{3}[/tex]  * Molarity

   = 1.5 / 69 * 0.40

   = 54.35 mL

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How would a small bar magnet be oriented when placed at position X?

Answers

Based on the document attached, the  small bar magnet will be oriented when placed at position X is option d:

What is the magnet position about?

The orientation of the magnets   is known to be one that do affect its magnetic force. Atoms atoms, such as iron, are known to often gives a stronger magnetic force when compared to other atoms.

These atoms can be seen as tiny magnets, that has the north and south of each pole. If the poles is known to be oriented in all directions, the material will not bring about a net magnetic force.

Therefore, Based on the document attached, the  small bar magnet will be oriented when placed at position X is option d because the shapes of the magnetic field lines in regards to the bar magnet are said to be closed.

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A boy on board a cruise ship drops a 30. 0 gm marble into the ocean. If the resistive force proportionality constant is 0. 500 kg/s. What is the terminal speed of the marble in m/s?.

Answers

The terminal speed of the marble is 0.588 m/s.

Calculation:

We know that,

F = mg                                                   ......(1)

where,

F = force

m = mass

g = acceleration due to gravity

Also,

v = F/k                                                       ......(2)

where,

v = terminal speed

k = proportionality constant

Substituting the value of F from equation (1) in equation (2)

v = mg/k                                                         .......(3)

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

To find,

v =?

Put the values in equation (3)

v = mg/k              

v = 0.03(9.8)/ 0.500

  = 0.294/0.500

  = 0.588 m/s

Hence, the terminal speed of the marble is 0.588 m/s.

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.

0.588 m/s

0.588 m/s is the terminal speed of the marble.

Calculation:

We know that,

F = mg  ----> eq(1)

where,

F = force

m = mass

g = acceleration due to gravity

We also know,

v = F/k ----> eq(2)

where,

v = terminal speed

k = proportionality constant

On substituting the value of F from eq(1) in eq(2)

v = mg/k  

Given,

m = 30 g = 0.030 kg

k = 0.500 kg/s

g = 9.8 m/s²

we need to find,

v =?

substitute the values in equation (3)

v = mg/k            

v = 0.03(9.8)/ 0.500

 = 0.294/0.500

 = 0.588 m/s

Hence, the terminal speed of the marble is 0.588 m/s.

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A person of weight 600 n is standing with one foot on each of two bathroom scales. The scales readings are?

Answers

The scales readings are 300 N for each of the scale.

What is weight?

The weight of an object is the force acting on the object due to gravity.

Weight is a vector quantity because it varies from place to place due to difference in acceleration due to gravity and it is measured in Newton (N).

Reading of each scale

The total weight of the person is supported by the two legs and if the person stand on a level ground, the weight will be evenly distributed and each scale will carry half of the person's weight.

The reading of each scale due to the weight of the person is calculated as follows;

Reading of each scale = total weight / 2

Reading of each scale  = 600 N/2

Reading of each scale  = 300 N

Thus, the scales readings are 300 N for each of the scale.

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The density of silver is 10. 5 g/cm 3. a piece of silver with a mass of 61. 3 g would occupy a volume of __________ cm 3

Answers

Answer:5,84 cm³Explanation:

_______________

ρ=10,5 g/cm³

m=61,3 g

_______________

V - ?

_______________

[tex]\displaystyle \boldsymbol{V}=\frac{m}{\rho} =\frac{61,3 \; g}{10,5\; \frac{g}{cm^3} } \approx \boldsymbol{5,84 \; cm^3}[/tex]

A 0.20-μf capacitor is connected to a 300-v battery. What potential energy is stored in the capacitor?

Answers

A 0.20-μf capacitor is connected to a 300-v battery, the potential energy is stored in the capacitor will be 9 * [tex]10^{-3}[/tex] J

The energy stored in a capacitor is nothing but the electric potential energy and is related to the voltage and charge on the capacitor. If the capacitance of a conductor is C, then it is initially uncharged and it acquires a potential difference V when connected to a battery.

Its two plates hold opposite charges and the separation between them creates an electric field. That's why a capacitor stores energy.

Capacitance =  0.20 * [tex]10^{-6}[/tex]

voltage = 300 V

Potential energy stored in a capacitor = 1/2 *C * [tex]V^{2}[/tex]

                                                                = 1/2 * 0.20 * [tex]10^{-6}[/tex] * [tex](300)^{2}[/tex]

                                                                = 9000 *  [tex]10^{-6}[/tex]

                                                                 = 9 * [tex]10^{-3}[/tex] J

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Which wavelength of light is the best choice when attempting to quantitatively relate solution absorbance and concentration?.

Answers

310 nm

310 nm wavelength of light is the best choice when attempting to quantitatively relate solution absorbance and concentration.

What does beer lambert law state?

The Beer-Lambert law states that "the quantity of light absorbed by a substance dissolved in a fully transmitting solvent is directly proportional to the concentration of the substance and the path length of the light through the solution."

Here, the wavelength for absorption is 310 nm. We confirmed that the largest aggregation happens at this wavelength based on the preliminary experiments. Your spectrum measurements may be repeated at a very low concentration. From there, you may deduce the concentration and maximum absorbance at the relevant wavelength.Applications of Beer-Lambert law:Beer-law Lambert's is used to analyze a combination using spectrophotometry without the sample needing to go through a lot of pre-processing. The measurement of bilirubin in blood plasma samples is one example. Since the molar absorbance is known, the spectrum of pure bilirubin is also known.Limitations of Beer-Lambert law:light scattering as a result of sample-related particles. the sample's fluorescence or phosphorescence. refractive index modifications at high analyte concentrations. alterations in chemical equilibrium that occur as a result of concentration.

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What are the factors that cause land and water to heat and cool differently? choose all that apply.

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The differential heating of Land and water depends on amount of solar energy reaching earth.

Land is a better conductor of heat than water, heating up and cooling down faster than water.

In summer, amount of solar radiation is highest hence difference of water and land temperature is highest. Air over land heats up and expands hence the air rises above. This rising air is replaced with the surrounding air rich in moisture content from over ocean surface. The degree of differential heating depends on amount of solar energy reaching earth's surface.

This results in Sea Breeze which is from a large body of water towards landmass due to difference in pressure created.

Land Breeze blows towards sea from land at night. It is due to difference in rate of cooling of land and ocean.

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Which mystery primate is a biped? list the characteristics you choose to justify your answer

Answers

Primate B mystery primate is a biped.

The characteristics are:

The vast majority of primates live in trees (Notable exceptions are humans and gorillas).The majority of primates have upright upper bodies and occasionally walk on two feet (Humans are erect and always exhibit bipedalism).All primates have smaller noses and matching olfactory brain regions (except Lemurs).Compared to other mammals, primates have enormous brains for their size. Stereoscopic vision, hand-eye coordination, and manual dexterity are all governed by the brain's enlarged regions.Considering the size of the animal, long gestationsPrimate sociality is rather high in general.The majority of primates are nocturnal.The highly enjoyable action of grooming is shared by all highly evolved primates, including humans.Primate

Lemurs, lorises, tarsiers, monkeys, apes, and humans are all included in the biological order called primates. Class Mammalian of the phylum Vertebrate includes creatures with qualities that have evolved recently in the taxonomic classification of the animal kingdom. 19 subtaxa known as orders have been added to the Mammalia classification. Primates are one of such groups, which contains eutherian animals like monkeys and apes. As a result, during a period of 30 million years, new world and old world monkeys underwent different adaptive radiations and were reproductively isolated. The Oligocene epoch saw the evolution of prosimians. About 30 million years ago, all currently extant primates underwent evolution.

Which mystery primate is a biped? list the characteristics you choose to justify your answer

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Give one example of a thermodynamic cycle that does not account for the carnot efficiency.

Answers

Thermo-Electrochemical converter (UTEC) is a thermodynamic cycle that does not account for the Carnot Efficiency.

The Carnot cycle is a hypothetical cycle that takes no account of entropy generation. It is assumed that the heat source and heat sink have perfect heat transfer. The working fluid also remains in the same phase, as opposed to the Rankine cycle, in which the fluid changes phase. A practical thermodynamic cycle, such as the Rankine cycle, would achieve at most 50% of the Carnot cycle efficiency under similar heat source and heat sink temperatures.

What is Thermo-Electrochemical converter?

In a two-cell structure, a thermo-electrochemical converter converts potential energy difference during hydrogen oxidation and reduction to heat energy.

It employs the Ericsson cycle, which is less efficient than the Carnot cycle. In a closed system, it converts heat to electrical energy. There are no external input or output devices.

This means there will be no mechanical work to be done, as well as no exhaust. As a result, Carnot efficiency is not taken into account in this cycle. Carnot efficiency is accounted for by other options such as turbine and engine.

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The cost of operating an electrical appliance is based upon its
Aage.
Bease of use.
Cwattage and time used.
D original purchase price.

Answers

Answer:

wattage and time used

Explanation:

Look

If a electrical appliance has more power or wattage it will use more energy and cost more

If a electrical appliance is used for more time the cost is more

Hence Option C is correct

A clock on a moving spacecraft runs 1s slower per day relative to an identical clock on earth. What is the relative speed of the spacecraft?

Answers

The craft is moving at a speed of v = 0.024c or around 7 million metres per second or 16 million miles per hour.

The time dilation factor is equal to 3600/3599 if we only want 3599 seconds of the craft's time to pass for every hour (3600 seconds) of Earth time. However, there is a connection as well.

γ = [tex]\frac{3600}{3599}[/tex] = Dilation factor

Also, γ = 1/ √[tex]1-v^{2}[/tex]/[tex]c^{2}[/tex]

which we can solve algebrically to yield,

[tex]\frac{v}{c}[/tex] = √1-1/γ[tex]^{2}[/tex]

we get,

[tex]\frac{v}{c}[/tex] = 0.024

v= 0.024c

Accordingly, the craft is moving at a speed of v = 0.024c, or around 7 million metres per second or 16 million miles per hour.

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450n 360n 710n 1400n 230n a block is placed in oscillation on a frictionless horizontal surface attached to a spring that is also attached to a wall. If, when stretched away from equilibrium by 15cm and released, it oscillates with a period of 0. 25s, and if the mass of the block is 15kg, what force was required to stretch the spring by the initial 15cm?.

Answers

Answer:

m = 15, P = .25, x = .15

F = -K x for spring

ω = (K/m)^1/2

ω^2 = K / m

K = m ω^2 = m (2 π f)^2 = m 4 π^2 / P^2

K = 4  π^2 m / P^2

F = K x = x * 4  π^2 m / P^2

F = .15 * 4 * π^2 * 15 / .25^2

F = 1420 N

What is the speed of light in crown glass if the index of refraction for crown glass is 1. 52? provide the solution: ___________ x 108 m/s

Answers

The speed of light in crown glass with the index of refraction is 1.97×10^8 m/s.

Given index of refraction= 1.52

          speed of light in vaccum= 3×10^8 m/s

           speed of light in medium=c/n= 3×10^8/1.52= 1.97×10^8 m/s  

About  index of refraction:

The ratio of the speed of light in a vacuum to that in a second medium with a higher density is used to compute the refractive index (also known as the index of refraction). In mathematical formulae and descriptive writing, the letter n or n' is most frequently used to represent the refractive index variable.

The index of refraction controls how much light is refracted or twisted when it enters a substance.

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What is the avergae percent increase in the count rate over the voltage range of the geiger tube plateau?

Answers

The average percent increase in the count rate over the voltage range of the Geiger tube plateau is less than 10 percent per 100 volts.

Geiger tubes are the sensing elements of Geiger counters, which are used to measure ionizing radiation. This tube is made of a thin-walled stainless steel and is filled with a mixture of Neon and Halogen gases at low-pressure

The Geiger–Müller tube is filled with an inert gas such as helium, neon, or argon at low pressure, to which a high voltage is applied. The tube briefly conducts electrical charge when a particle or photon of incident radiation makes the gas conductive by ionization.

After the quick rise, the counting rate levels off. This range of voltages is termed the ”plateau” region. Eventually, the voltage becomes too high and we have continuous discharge. The threshold voltage is the voltage where the plateau region begins.

For a good G-M tube, the plateau region should rise at a rate less than 10 percent per 100 volts. That is, for a change of 100 volts, should be less than 0.1.

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Officials want to reduce the possibility of oil leaks into bodies of freshwater drinking sources. therefore, the government insists that oil refineries undergo monthly inspections. for what reason would the government regulate monthly inspections at oil refineries? save the refinery money increase domestic oil production protect the public from pollution encourage foreign oil imports to drive down prices

Answers

Answer:

protect public from pollution

Explanation: got it right

The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is:_________

Answers

The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is more than as compared to first case because the voltage across the inductor is proportional to the rate of change of current which is a maximum at the start when the current and the voltage across the resistor are zero.

As time progresses the current increases at a slower rate as does the voltage across the resistor but the voltage across the inductor decreases.

The voltage drop is proportional to the current, which is the rate-change of the charge. Inductors: V = L (DI/Dt). The voltage drop across the inductor is proportional to the rate-change of the current.

How do you calculate voltage drop in an inductor?

The formula which calculates the inductor voltage is

V= Ldi/dt,

where,

V is the voltage across the inductor,

L is the inductance of the inductor,

di/dt is the derivative of the current flowing across the inductor.

Thus from the above conclusion we can say that The voltage drop across an inductor in a circuit with a dc voltage source at time>> 5*time-constant is more than as compared to first case because the voltage across the inductor is proportional to the rate of change of current which is a maximum at the start when the current and the voltage across the resistor are zero.

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A 1500-w heater is connected to a 120-v line for 2. 0 hours. how much heat energy is produced?

Answers

Answer:

10800 kJ

Explanation:

1 watt = 1 Joule /sec

1500 w = 1500 j/sec         2 hours = 7200 sec

1500 j/sec * 7200 sec = 10 800 000 j   = 10 800 kJ

An atomic nucleus has a charge of 40e. an electron is 10-9 m from the nucleus. what is the force on the electron?

Answers

The force on the electron is (F)= 9.2 nN.

How can we calculate the value of the force on the electron?

To calculate the value of the force on the electron here we use the formula,

[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]

Here we are given,

[tex]q_{1}[/tex]= The charge of an atomic nucleus= 40e = [tex]40 \times 1.6 \times 10^{-19}[/tex] C.

[tex]q_{2}[/tex]= The charge of an electron = [tex]1.6 \times 10^{-19}[/tex] C.

r= The distance between the nucleus and the electron = [tex]10^{-9}[/tex] m.

k= The Coulomb's constant = [tex]8.99 \times10^9 N m ^2 /C^ 2[/tex]

We have to find the value of the of the force on the electron = F

Now , we substitute the known values in the above equation, we can get

[tex]F=k\frac{q_{1} q_{2} }{r^{2} }[/tex]

Or, [tex]F=8.99\times 10^{9} \frac{40\times 1.6\times 10^{-19} \times 1.6\times 10^{-19} }{(10^{-9})^{2} }[/tex]

Or,[tex]F=8.99\times 10^{9}\times {40\times (1.6\times 10^{-19} )^2\times (10^{9})^{2} }[/tex]

Or, [tex]F= 9.2 \times 10^{-9} N[/tex]

Or, F= 9.2nN

So, from the above calculation we can conclude that the amount of force applied on the electron is 9.2nN.

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Metallic iron crystallizes in a body-centered cubic lattice, with one fe atom per lattice point. if the metallic radius of fe is 124 pm, what is the volume of the unit cell in pm3 and in cm3?

Answers

The volume of a unit cell is 4.3 × 10⁻¹⁰ pm³.

We need to start with the features of a face-centered cubic system in order to be able to determine the edge length of the unit cell.

As we know, a face-centered cubic system is characterized by a unit cell that has a total of 14 lattice points.

one lattice point for every one of the eight corners of the unit cell.one lattice point for every one of the six faces of the unit cell.

Now, these lattice points will contain

1/8th of an atom in every corner lattice point.1/2 of an atom in every face lattice point.

Assume that r is the edge length of the unit cell and that r is the radius of an iron atom. You'll see that we can represent x in terms of the cell's diagonal, d, using Pythagoras' Theorem.

        [tex]d^2 = x^2+ x^2[/tex]

        [tex]d^2=2x^2[/tex]

The cell's diagonal will be equal to one radius from the atom in the top corner, two from the atom in the face, and one from the atom in the lower corner.

[tex]d= r+2r+r = 4r[/tex]

This means that we have,

[tex](4r)^2=2x^2[/tex]

[tex]16.r^2 = 2x^2 \\x=\sqrt{8r^2}[/tex]

This is equivalent to

[tex]x=2\sqrt{2} r = 2\sqrt{2} .124= 350.7 pm[/tex]

So, the edge length of the unit cell is equal to 350.7 pm.

The volume of a unit cell. As we know, the volume of a cube is given by the formula

V = [tex]l[/tex] × [tex]l[/tex] × [tex]l[/tex]

[tex]l[/tex] = the edge length of the cube

Volume = (350.7)³ pm³

            = 4.3 × 10⁻¹⁰ pm³

            = 4.3e-30 cm³

Therefore, the volume of the unit cell is 4.3 × 10⁻¹⁰ pm³.

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Among merge sort and quick sort, which algorithm takes more spaces? what strategy is used by the other algorithm to use less space and run slightly faster in average case?

Answers

Merge sort requires more space than quick sort. Bogo sort is used by the other algorithm to use less space and run slightly faster in average case.

To find the answer, we need to know more about the Maxillary space.

What is Maxillary space?Quicksort consumes less space and has better cache locality than merge sort, which uses more space. An in-place sorting algorithm is quick sort. No additional storage space is required for sorting when it is done in-place. Because Join Sort does not exist, Quick Sort has the advantage of space since Merge Sort needs a temporary array to merge the sorted arrays.

Thus, we can conclude that, merge sort requires more space than quick sort. Bogo sort is used by the other algorithm to use less space and run slightly faster in average case.

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A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface charge density on the sphere?

Answers

The surface charge density on the sphere is 0.014C/[tex]m^{2}[/tex].

Given,

r=5.00cm=0.05m, q=7. 5 µc

We know surface charge density σ =q/V=[tex]\frac{7.5*10^{-6} }{\frac{4}{3}\pi 0.05^{3} }[/tex]=0.014C/[tex]m^{2}[/tex].

Surface charge density

It is always important to know how charge is moving in an electric field. These fields will also build up electric charges. Therefore, estimation of the surface charge density is essential for a number of applications. It is also necessary to calculate the surface charge density of an electric object using its volume and surface area. The amount of electric charge that has collected in a given field is measured by the surface charge density. Using the dimensions provided, it determines the amount of electric charge. Dimensions of the electric body could be in the form of length, area, or volume. In one, two, or three dimensions, according to electromagnetism, surface charge density is a measurement of the amount of electric charge present in a given volume of space.

A conducting sphere of radius 5. 0 cm carries a net charge of 7. 5 µc. what is the surface surface charge density on the sphere?

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Two objects of mass 3 kg and 2 kg are thrown with velocities 2 ms-1 and 3 ms-1 , respectively. Calculate the momentum of both. Which has a greater momentum?​

Answers

Answer:

They have the SAME momentum ....see below

Explanation:

Momentum = m v

3       3kg * 2 m/s =   6  kg-m/s

2        2kg * 3 m/s =   6 kg - m/s        

Assume earth is approximately a uniform, solid sphere that has a mass of 5.98×1024 kg and a radius of 6.38×106 m. calculate the angular momentum ????z of earth as it spins on its central axis once each day.

Answers

The angular momentum of earth is

7×10^33 kgm^2/sec

Given:

mass of earth = 5.98×1024 kg

radius of earth = 6.38×10^6 m

To Find:

angular momentum

Solution:

For earth we have moment of inertia as

I = 2/5mR^2

and angular velocity as ω = 2π/T

Thus angular momentum is given as

L= 2/5mR^2*2π/T

L = 2/5*5.98×10^24*(6.38×10^6)^2*2*3.14/86400s

L = 7 × 10^33 kg/m^2/sec

So, angular momentum of earth is

So, angular momentum of earth is 7×10^33 kgm^2/sec

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A light bulb operating at 110 v draws 1. 40 a of current. what is its resistance?

Answers

the resistance of the circuit containing 110V and 1.42A current will be 78.57 ohm.

To find the answer, we need to know more about the Ohm's law.

How to find the resistance of the circuit?Ohm's law states that, the potential difference across the ends of the conductor is proportional to the current through the conductors.

                                      [tex]V[/tex]∝ [tex]I[/tex]

                                    [tex]V=IR[/tex]

where, R is the proportionality constant called resistance of the circuit.

Given that, voltage is 110V, and current is 1.40A, then the resistance will be,

                        [tex]R=\frac{V}{I} =\frac{110}{1.40}=78.57Ohm[/tex]

Thus, we can conclude that, the resistance of the circuit containing 110V and 1.42A current will be 78.57 ohm.

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If the resistance in a circuit connected to a constant current is halved, how is the voltage in the circuit affected?.

Answers

Answer:

The voltage remains constant.

Answer:

The voltage in the circuit remains same. However the current drawn by the circuit will increase.

Explanation:

According to Ohm's Law:

V=IR

If we halved the resistance let:

R'=R/2

then

I'=2I in order to kept the Voltage same. Also the resistance is the opposition to the current. So, if resistance will halved then obviously current will double

So when we put these value in to Ohm's Law the results is:

V'=I'R'

V'=2I(R/2)

V'=IR which is equal to first voltage. Hence,

V'=V

If the current in an inductor is doubled, by what factor is the stored energy multiplied?
a. 4
b. 1/4
c. 2
d. 1/2
e. 1

Answers

Answer:a. 4Explanation:

_______________

[tex]I_2=2I_1[/tex]

[tex]L=\text{const}[/tex]

_______________

[tex]\displaystyle \frac{W_2}{W_1}\; - \;?[/tex]

_______________

[tex]\displaystyle \boldsymbol{\frac{W_2}{W_1}}=\frac{\dfrac{LI_2^2}{2} }{\dfrac{LI_1^2}{2} } =\frac{I_2^2}{I_1^2} =\bigg(\frac{I_2}{I_1} \bigg)^2=\bigg(\frac{2I_1}{I_1} \bigg)^2=2^2=\boldsymbol{4}[/tex]

Light propagates from soda lime glass (n = 1.518) into pyrex glass (n = 1.473). determine the critical angle for this situation.

Answers

Light propogates from soda lime glass into pyrex glass of different refractive indices indicating a change in the medium which can be used to find out the critical angle.

The critical angle is the angle of incidence for which the angle of refraction comes out to be 90°. It is related to the refractive indices (Plural of refractive index) by the following relation:

Sini = 1/u, where u is the ratio of refractive index of medium 2 and medium 1

According to the question, Light propogates from soda lime glass (Medium 1, u1=1.518) into pyrex glass(Medium 2, u2=1.473), i.e. from a denser medium to rarer medium. So, the ratio of refractive index becomes u2/u1= 1.473/1.518=0.97

Putting the ratio in the above-mentioned formula,

∴ Sini = 1/0.97

i= 75.9°

Hence, the critical angle(i) for the given situation is 75.9°.

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