The wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
Given the data in the question;
Frequency of the light ray; [tex]f = 7.4 * 10^{12}Hz[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength can be simply defined as the spatial period of a periodic wave. When the shapes of waves are repeated, the distance over which they are repeated is called wavelength. Wavelength is expressed as;
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light( [tex]c = 3*10^8m/s[/tex] )
We substitute our values into the expression above to determine the wavelength of the light ray.
[tex]\lambda = \frac{c}{f} \\\\\lambda = \frac{3*10^8m/s}{7.4*10^{12}s^{-1}}} \\\\\lambda = \frac{3*10^8ms/s}{7.4*10^{12}}}\\\\\lambda = 4.05*10^{-5}m\\\\\lambda = 4.05*10^{4}nm[/tex]
Therefore, the wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
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The velocity of a car increases by 40 m/s in 80 seconds. What is the
acceleration of the car?
A. 40 m/s2
B. 0.5 m/s2
C. 120 m/s2
D. 0.25 m/s2
Answer:
B
Explanation:
a=v/t
a=(40m/s)÷(80s)
a=0.5m/s
A 0. 5 kg mass on a 1-m-long string swings in a circle on a horizontal, frictionless table at a steady speed of 2 m/s. How much work does the tension in the string do on the mass during one revolution?
The tension does no (zero) work
F· S = W
Since the tension is perpendicular to the direction of motion, and there is no change in S the work done is zero.
What type of gas absorbs and re-emits infrared radiation?.
Answer:
Carbon Dioxide absorbs and re-emits the infrared radiation.
What causes changes in the orbit of objects in the solar system.
A solid sphere is released from the top of a ramp that is at a height
h1 = 2.20 m.
It rolls down the ramp without slipping. The bottom of the ramp is at a height of
h2 = 1.87 m
above the floor. The edge of the ramp is a short horizontal section from which the ball leaves to land on the floor. The diameter of the ball is 0.14 m.
a.) Through what horizontal distance d, in meters, does the ball travel before landing?
b.) How many revolutions does the ball make during its fall?
Hi there!
We can use the work-energy theorem and apply it to this situation.
At the top of the ramp, the ball only has gravitational potential energy, and at the bottom of the ramp, the ball has BOTH translational and rotational kinetic energy.
We must use the following equations:
[tex]GPE = mgh \\KE_T = \frac{1}{2}mv^2\\\\KE_R = \frac{1}{2}I \omega^2[/tex]
m = mass of sphere (kg)
g = acceleration due to gravity (m/s²)
h = height of ramp (m)
v = final velocity (m/s)
I = Moment of Inertia (kgm²)
ω = angular velocity (rad/sec)
Since:
[tex]E_i = E_f\\\\mgh = \frac{1}{2}mv^2 + \frac{1}{2}I\omega ^2[/tex]
In order to make things easier, since the ball is not slipping, we can relate angular velocity to translational velocity:
[tex]\omega = \frac{v}{r}[/tex]
Also, recall the equation for the moment of inertia for a solid sphere:
[tex]I = \frac{2}{5}mr^2[/tex]
We can use these to simply our equation:
[tex]KE_R = \frac{1}{2}(\frac{2}{5}mr^2)(\frac{v}{r})^2 = \frac{1}{5}mv^2[/tex]
Now, we can rewrite the equation and solve for 'v'.
[tex]mgh = \frac{1}{2}mv^2 + \frac{1}{5}mv^2\\\\mgh = \frac{7}{10}mv^2\\\\v = \sqrt{\frac{10gh}{7}} = \sqrt{\frac{10(9.8)(2.2 - 1.87)}{7}} = 2.149\frac{m}{s}[/tex]
a)
We can begin by solving for the time taken for the ball to land on the ground. The ball only has a horizontal velocity, so this is essentially a free-fall situation. Use the rearranged kinematic equation:
[tex]t = \sqrt{\frac{2h}{g}} = \sqrt{\frac{2(1.87)}{9.8}} = .6178 s[/tex]
Now, use the following equation to solve for horizontal distance given horizontal velocity and time:
[tex]d_x = v_x t\\\\d_x = 2.149 * .6178 = \boxed{1.328 m}[/tex]
b)
We can use the previously-stated relationship between translational and angular velocity to solve for the angular velocity.
[tex]\omega = \frac{v}{r}[/tex]
It is given that the diameter is 0.14 m, so the radius is 1/2th the diameter, or 0.07 m.
Solve for the angular velocity:
[tex]\omega = \frac{2.149}{0.07} = 30.706 \frac{rad}{sec}}[/tex]
Using the above fall time and dimensional analysis to convert from rad/sec to revolutions, we can solve for the # of revolutions made by the ball:
[tex]\frac{30.706rad}{sec} * .6178 sec * \frac{1 rev}{2\pi rad} = \boxed{3.019 rev}[/tex]
What is the difference between a moon and a planet.
Answer:
A planet revolves around the Sun and a moon orbits a planet. Technically, the moon also orbits the Sun as it spins around its planet, but because it has its own sub-orbit of a planet scientists define it as a moon. All planets in our solar system, except for Mercury and Venus, have moons. Earth has one moon, Mars has two, Neptune has thirteen, Uranus has twenty-seven, Jupiter has sixty-six, and Saturn has sixty-two. Pluto, now classified as a dwarf planet, has five moons.
sitting at rest on top of a spring with a spring constant of 10N /m. the spring is compressed 5m
Answer:
50N
Explanation:
this is because 5×10all over 100 ,0 will cancile 0 remaining 10 ,1 into 10 ,10times ,so 5×10 =50N
What are the nicknames for the planets in our solar system?
Answer:
History of the 9 Planets in our solar system The ancient Greeks came across seven lights in the sky that moved against the background pattern of stars: the sun, the moon, Mercury, Venus , Mars, Jupiter, and Saturn. then they decided to name them Planetes, or Wanderers.
Explanation:
A planet is a celestial body. The nickname for the earth is "blue planet".
What is a planet?A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.
The nicknames for the planets in our solar system are:
Swift Planet for Mercury, Morning Star and Evening Star for Venus, Blue Planet for Earth, Red Planet for Mars, Giant Planet for Jupiter, Ringed Planet for Saturn, Ice Giant for Uranus,Big Blue Planet for Neptune.Learn more about Planet:
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What is the difference between gravity and acceleration?
Aceleration refers to motion but gravity refers to force
Acceleration is change of velocity with time while gravity is the force of attraction pulling objects. When this force pulls an object it tends to move with a certain type of acceleration called acceleration due to gravity. This is equal to 9.8 m / s^2 for earth
Acceleration is the rate of change in velocity. While g is the acceleration due to gravity. The pace at which a body's velocity varies is represented by acceleration, which is a vector quantity.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
[tex]\rm a = \frac{v-u}{t}[/tex]
u is the initial speed
v is the final speed
t is the time interval
a is the acceleration of the ball
Gravitation is a natural law by which all things with all matter are attracted towards one another.
g is the acceleration due to gravity. whose value is equal to 9.81 m/sec².The value of the gravitational acceleration varies according to the height and the planet.
The value of the gravitational acceleration on the earth is 9.81 m/sec².While the value of g at the moon is 1.6333 m/sec².
Hence acceleration is the rate of change of velocity. While g is the acceleration due to gravity.
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In what type of system is mechanical energy lost to its surroundings?
A. internal
B. external
C. closed
D. open
Answer:
open
Explanation:
in open system mechanical energy is lost to its surroundings
what other fees are associated with each credit card
Answer:
Finance costs (also known as interest fees) aren't added to your account in a set amount like other fees.
OR
A credit card is a payment card that is issued to users to allow them to pay a merchant for products and services depending on their outstanding debt. The card issuer opens a revolving account for the cardholder and provides a line of credit from which the cardholder can borrow money to pay a merchant or get a cash advance. Consumer credit cards and business credit cards are the two types of credit cards available. The majority of the cards are plastic, however, there are a few metals and gemstone-encrusted metal cards.
Explanation:
Suppose you have a 100 mhz cpu and a a/d converter with an 8 khz sampling rate. Samples of the a/d converter are 32-bits
The sampling rate that's given regarding the CPU will produce a rate of 256kps.
How to calculate the rate?The following can be gotten from the question:
Sampling rate = 8KHx
Number of bits = 32
The data rate will be:
= 32 × 8kbps
= 256kps
In conclusion, the sampling rate that's given regarding the CPU will produce a rate of 256kps.
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The sampling rate specified for the CPU will result in a 256kb/s rate.Sampling rate is also known as the sampling frequency.
What is sampling rate?The number of samples per second collected from a continuous signal to create a discrete or digital signal is referred to as sampling rate or sampling frequency.
The given data in the problem is;
Sampling rate= 100 mhz cpu
Number of bits=32
The rate of the data is;
[tex]\rm R = 32 \times 8 kb/ s \\\\ \rm R = 256 kb / s \\\\[/tex]
Hence the sampling rate specified for the CPU will result in a 256kb/s rate.
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state two factors that affect the type of Shadows formed
Answer:
The two factors that affect the type of Shadows formed are stated below ::
The distance between the source of land and the object. The angel where the ray of light falls on the object.Answer:
The distance of the source of light from the object.
The angle at which the light rays fall on the object.
The size of the opaque object.
The size of the shadow depends on the distance of the source of light and on the angle at which the light rays fall on the object.
If the source of light is closer to the object, a larger shadow is formed than when the source of light is far from the object.
Explanation:
picture is in the top ️️️⬆️⬆️⬆️⬆️⬆️
It can be observed from the above figure that as the angle of light incident on the object changed the length of the shadow changed.
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Circuit A has a voltage of 10 V, and circuit B has a voltage of 15 V Which statement about the circuits is correct? (1 point)
If the resistance in circuit A equals the resistance in circuit B, then the current in circuit A is greater than the
current in circuit B.
If the resistance in circuit A is greater than the resistance in circuit B, then the current in circuit A is greater
than the current in circuit B.
If the current in circuit A equals the current in circuit B, then the resistance in circuit A equals the resistance
in circuit B
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than
the resistance in circuit B.
If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.
Ohms LawOhms law states that the volatge in a circuit is directly proportional to the current flowing in the circuit.
V = IR
Where;
V is voltageI is currentR is resistanceThe given voltage in the circuits
Circuit A = 10 VCircuit B = 15 VAt equal resistance, the current flowing in circuit B will be greater than circuit A since circuit B has more voltage.
However, If the current in circuit A is greater than the current in circuit B, then the resistance in circuit A is less than the resistance in circuit B.
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C
- CONNECTIONS
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What units are appropriate to express specific heat?.
Answer:
The units for specific heat can either be joules per gram per degree (J/goC) or calories per gram per degree
Explanation:
What is current of 12 ohm? help me pleasee
1. 0.25 A
2. 0.5 A
3. 1 A
4. 1.5 A
5. 2 A
please show solution.
Answer:
the current is 5.2 Amps
Find fff, the magnitude of the force applied to each side of the nutcracker required to crack the nut
Force is a vector, as such we know that the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.
What is force?The term force is used to describe that which causes a change in the position of an object. Now the question is incomplete but I will try to help you the much I can.
Recall that force is a vector quantity. Hence the magnitude of the force required to crack a nut is the resultant of the individual forces applied form all sides of the nut.
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Does the buoyant force on a submerged object depend on the volume of the object or on the weight of the object?.
Answer:
The buoyant force on a submerged object depends upon the volume of the object.
Explanation:
Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.
A trait shared by dolphins and bats will be the need to move quickly through dark environments.
What is the evolution of echolocation?Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation
According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats
The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.
A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.
Hence option A is correct.
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Answer:
D
Explanation:
Reagan rides on a playground roundabout with a radius of 2. 5 feet. To the nearest foot, how far does reagan travel over an angle of 4π3radians? ______ ft
Answer:
S = θ R where S is the arc length and θ the arc length in radians
S = 2.5 ft * 4 π^3 rad = 2.5 * 124 = 310 ft (1 radian = 2.5 ft)
Assuming 4π3 means 4π^3
The Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have Reagan rides on a playground roundabout with a radius of 2.5 feet.
We know the relation between arc length and radius of the circle:
S = R∅
Here R = 2.5 feet, and central angle ∅ = 4π/3
[tex]\rm S = 2.5\times \frac{4\pi}{3}[/tex]
S = 10.47 feet ≈ 10 feet
Thus, the Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
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A car’s tire rotates 5.25 times in 3 seconds. What is the tangential velocity of the tire?
The tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire which is 11(r) m/s.
Angular velocity of the tireThe angular velocity of the tire is the rate of change of angular displacement of the tire with time.
The magnitude of the angular velocity of the tire is calculated as follows;
ω = 2πN
where;
N is the number of revolutions per secondω = 2π x (5.25 / 3)
ω = 11 rad/s
Tangential velocity of the tireThe tangential velocity of the car's tire is the product of the angular velocity and radius of the car's tire.
The magnitude of the tangential velocity is caculated as follows;
v = ωr
where;
r is the radius of the car's tirev = 11r m/s
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Pls answer this questions
It is diffult to measure the volume of gas.Why?
Answer:
The volume of a gas is dependent on pressure and temperature.
Explanation:
Pressure and temperature affect different gases differently giving varied conclusions to the exact volume of that gas.
:-befrank
If a train going 60 m/s hits the brakes, and it takes the train 85 seconds to stop, what is
the train's acceleration?
Question :-
If a Train going with 60 m/s Speed hits the Brakes, and takes 85 sec to stop. What is the Acceleration of the Train ?Answer :-
Acceleration of Train is 0.70 m/s² .Explanation :-
As per the provided information in the given question, we have been given that the Speed of the Train is 60 m/s . Time taken to stop the Train is 85 sec . And, we have been asked to calculate the Acceleration of the Train .
For calculating the Acceleration , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed { \sf{ \: Acceleration \: = \: \dfrac{v \: - \: u}{t} \: }} \\ [/tex]
Where ,
V denotes to Final Velocity .U denotes to Initial Velocity .T denotes to Time Taken .Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \: \sf{Acceleration \: = \: \dfrac{Final \: Velocity \: - \: Initial \: Velocity}{Time} } \\ [/tex]
[tex] \longmapsto \: \: \: \sf{Acceleration \: = \: \dfrac{0 \: - \: 60}{85} } \\ [/tex]
[tex] \longmapsto \: \: \: \sf{Acceleration \: = \: \dfrac{60}{85} } \\ [/tex]
[tex] \longmapsto \: \: \: \textbf {\textsf {Acceleration \: = \: 0.70 }} [/tex]
Hence :-
Acceleration = 0.70 m/s² .[tex] \underline {\rule {210pt} {4pt}} [/tex]
Note :-
Kindly Scroll the Screen from Right to Left for Better View .Answer:
Question :-
If a Train going with 60 m/s Speed hits the Brakes, and takes 85 sec to stop. What is the Acceleration of the Train ?
Answer :-
Acceleration of Train is 0.70 m/s² .
Explanation :-
As per the provided information in the given question, we have been given that the Speed of the Train is 60 m/s . Time taken to stop the Train is 85 sec . And, we have been asked to calculate the Acceleration of the Train .
For calculating the Acceleration , we will use the Formula :-
\begin{gathered} \bigstar \: \: \: \boxed { \sf{ \: Acceleration \: = \: \dfrac{v \: - \: u}{t} \: }} \\ \end{gathered}
★
Acceleration=
t
v−u
Where ,
V denotes to Final Velocity .
U denotes to Initial Velocity .
T denotes to Time Taken .
Therefore , by Substituting the given values in the above Formula :-
\begin{gathered} \dag \: \: \: \: \sf{Acceleration \: = \: \dfrac{Final \: Velocity \: - \: Initial \: Velocity}{Time} } \\ \end{gathered}
†Acceleration=
Time
FinalVelocity−InitialVelocity
\begin{gathered} \longmapsto \: \: \: \sf{Acceleration \: = \: \dfrac{0 \: - \: 60}{85} } \\ \end{gathered}
⟼Acceleration=
85
0−60
\begin{gathered} \longmapsto \: \: \: \sf{Acceleration \: = \: \dfrac{60}{85} } \\ \end{gathered}
⟼Acceleration=
85
60
\longmapsto \: \: \: \textbf {\textsf {Acceleration \: = \: 0.70 }}⟼Acceleration = 0.70
Hence :-
Acceleration = 0.70 m/s² .
\underline {\rule {210pt} {4pt}}
Note :-
Kindly Scroll the Screen from Right to Left for Better View .
Which kind of wave moves back and forth along the direction of the wave?.
A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.
In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.
What is a convex lens?A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.
In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.
In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.
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the north pole magnet is brought near a refrigerator door , and the magnet sticks. if the magnet is removed and the south pole is brought near the door instead, will it also stick explain
Answer:
no
Explanation:
because if the north pole of the magnet is brought the the refrigerator and it sticks that means the refrigerator is the south pole. So if the south pole magnet is brought the the refrigerator that is also a south pole it would not stick because same poles repel and opposite poles attract.
An object is in simple harmonic motion of the following quantities related to the object, which set of three can have maximum
magnitudes at the same instant of time?
i. displacement
ii. velocity
iii. acceleration
iv. kinetic energy
v. potential energy
Answer:
displacement, acceleration, potential energy
Explanation:
pretty sure this is correct but dont hold me to it.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
What is simple harmonic motion?Simple harmonic motion is periodic motion caused by a restoring force that is proportionate to the deviation from equilibrium.
Simple harmonic motion is periodic motion but many other conditions are dependent.
The object is in simple harmonic motion of the following quantities related to the object.
The set of three that can have maximum magnitudes at the same instant of time will be displacement, acceleration, and potential energy.
Hence the set of three quantities is the options i, iii,v.
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What is another name for coal, natural gas, and oil? (two words)
The answer is fossil fuel
its formed from the remains of ancient plants and animalHope it helps!
The answer is fossil fuel
Explain diffraction at a single slit (light)
Answer:
At some point on say, the receiving screen, light emanating from the left side of the slit will be out of phase (a difference of 1/2 wavelengths) from light coming from the center of the slit.
Thus for every point that is left of the center of the slit, there will be a point on the right side of the slit that is out of phase,
There will be no light on the screen at that particular point and thus there will be a dark fringe there.
That is the basic explanation for the appearance of dark and bright fringes on the receiving screen.