The magnitude of the acceleration due to gravity near the surface of Mars considering the time that takes the marker to fall to the ground is: 3.75 m/s²
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
The free fall formula and the procedure we will use is:
h = (g * t²)/2
Where:
t = time takenh = height traveledg = acceleration due to gravityInformation of the problem:
t(Earth)=1.3 sst(Mars) = 2.1 ssg(Earth) = 9.8 m/s²h = ?g(Mars) = ?Applying the height formula with the time of the fall on Earth we get:
h = (g * t²)/2
h= (9.8 m/s² * (1.3 s)²)/2
h=(9.8 m/s² * 1.69 s²)/2
h= 16.562 m/2
h=8.281 m
Applying the height formula, with the time of the fall on Mars and clearing the gravity we get:
h = (g * t²)/2
g= (h*2)/ t²)
g(Mars)= 8.281 m *2/(2.1 s) ²
g(Mars)= 16.562 m/4.41 s²
g(Mars)= 3.75 m/s²
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A crane is used to lift a steel beam on a building site. The crane does 250 kJ of work against gravity
in order to lift the steel beam a vertical distance of 20 m. Calculate the weight of the steel beam.
The weight of the steel beam is 126.53 kg
What is gravity?Gravity is a force that attracts two objects with mass towards each other. The strength of the gravitational force between two objects depends on their masses and the distance between them.
The force of gravity is described by Newton's law of universal gravitation, which states that the force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
We can use the equation
W = mgh to find the weight of the steel beam where W is workM is mass G is acceleration due to gravity H is height.W = mgh
m = W / (g * h) = 250 kJ / (9.8 m/s^2 * 20 m) = 126.53 kg
Therefore, The weight of the steel beam is 126.53 kg.
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What is the dot product of 2i 4j 5k and 3i 2j k?.
The dot product of 2i+4j+5k and 3i+2j+k is 19.
The total of the products of the matching components makes up the dot product, or inner product, of two vectors. It is equivalently equal to their product times the cosine of the angle between them. The square of a vector's magnitude is the dot product of a vector with itself.
A two-vector or bivector tensor is the type. It is a linear functional that transforms two-forms into real numbers while simultaneously being the dual of a two-form. The tensor product of two vectors yields a two-vector. In light of this, two vectors may only be said to be collinear if they are on the same line or parallel to one another in the same or opposite direction.
The first vector is: 2i+4j+5k
The second vector is: 3i+2j+k
The dot product of the two vectors:
= 2(3) +4(2) + 5(1)
= 6+8+5
=19
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Correct Question:
What is the dot product of 2i+4j+5k and 3i+2j+k ?
What is one kg mass Class 8?.
What is the expression for momentum Mcq?.
p = m v . The equation demonstrates because momentum is directly related to an object's motion (m) and velocity (v).
In the actual world, what is momentum?Almost every action that involves motion has momentum. It is an important tenet of physics. In athletics, the term "momentum" is frequently used. For instance, if a team is moving forward and trying to stop, it will be difficult.
How do you define momentum?singular nouns Momenta, plural for momentums. force or rate of motion; impulse, as of a tangible thing or sequence of events: Going downward, the automobile picked up speed.
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What is the unit in which torque is measured Mcq?.
SI Torque Unit
Considering the equation Torque = Power X Distance Torque is defined in newton-meters, whereas length is measured in meters and pressure is measured in newtons.
What is the torque measurement device?Result for an image What is the Mcq unit used to measure torque,
dynamometer, a tool for calculating the amount of mechanical force or power delivered by a rotor shaft. All strength dynamometers are essentially thrust devices; the shaft speed is monitored separately. Power is the result of torque (moving force) and angular speed.
Describe Torque Mcq?The propensity of a force to initiate or modify an object's rotational motion is known as torque. Moment or instant of force are other names for torque. Torque is vector form.
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What is F Gm1m2 d2?.
The gravitational force which try pulls two objects with masses m1 and m2 apart over a certain distance is represented by the equation F = G[tex]m_{1} *m_{2}[/tex]/d^2. G, which represents the universal gravitational constant.
The product of each object's individual mass determines the gravitational force between them. The square of one object's mass determines how much gravity will pull on the other. If their mass is raised by a factor of two, the gravitational force between the two objects is quadrupled.
The formula F = G[tex]m_{1} *m_{2}[/tex]/d^2 describes the dimensions of G as the gravitational force that pulls two objects with point masses of m1 and m2 toward one another, and r represents the distance between them.
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What is the per unit value Mcq?.
The per-unit value of any quantity is defined as the ratio of its actual value in any unit to its base or reference value in the same unit. The price per unit has no dimensions.
What is per unit value?Per unit is a way of expressing a quantity's value in terms of a reference or base quantity. Each system variable or quantity in a per unit system is normalized with respect to its own base value. Because quantities expressed per unit are the same regardless of voltage level, calculations are simplified. The per-unit value of any quantity is defined as the ratio of its actual value in any unit to its base or reference value in the same unit. The price per unit has no dimensions. In the power system industry, the per-unit system is widely used to express voltages, currents, powers, and impedances of various power equipment. It is commonly found in transformers and AC machines.
Here,
Any quantity's per-unit value is defined as the ratio of its actual value in any unit to its base or reference value in the same unit. The price per unit is dimensionless.
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Gretchen runs the first 4. 0 km of a race at 5. 0 m/s. Then a stiff wind comes up, so she runs the last 1. 0 km at only 4. 0 m/s.
Answer: Answer: The constant speed is 4.76 m/s
What is Velocity ?
-- Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.
- It is vector quantity.
-- SI unit is M/s.
Determination of the time taken for first 4 Km
Distance = 4 Km = 4 × 1000 = 4000 m
Speed = 5 m/s
Time 1 =?
Time 1 = distance / speed
Time 1 = 4000 / 5
Time 1 = 800 s
Determination of the time taken for the last 1 Km
Distance = 1 Km = 1 × 1000 = 1000 m
Speed = 4 m/s
Time 2 =?
Time 2 = distance / speed
Time 2 = 1000 / 4
Time 2 = 250 s
Determination of the constant speed
Total distance = 4000 + 1000 = 5000 m
Total time = 800 + 250 = 1050 s
Constant speed =?
Constant speed = Total distance / total time
Constant speed = 5000 / 1050
Constant speed = 4.76 m/s
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What happens to the value of potential energy and kinetic energy as the coaster is moving throughout the entire coaster ride do not consider air resistance or friction?.
As the roller coaster is moving throughout the whole coaster ride ignoring air resistance or friction, then the value of potential energy is highest at the top point and the value of kinetic energy is maximum at the bottom point.
Air resistance can affect a roller coaster as it is in the air, and it provides a force that is countering the movement of the roller coaster. However, with no air resistance, the roller coaster has a maximum quantity of potential energy and no kinetic energy at the top. As the roller coaster begins moving down to the bottom, its gravitational potential energy starts decreasing and the kinetic energy starts increasing. And at the bottom, kinetic energy is highest while there is no potential energy.
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What is the condition for two vectors A and B to be parallel?.
Two vectors A and B are parallel if they have the same direction, opposite direction, or are proportional.
The vectors have the same direction: If vector A and vector B point in the same direction, they are parallel. This means that the angle between the two vectors is 0 degrees.
The vectors are of opposite directions: If vector A and vector B point in opposite directions, they are also parallel. This indicates that there is a 180° angle between the two vectors.
The vectors are proportional: if two vectors are parallel, the ratio of their magnitudes is a constant, which means that A = k B, where k is a constant.
It's important to note that vectors can also be anti-parallel, which means they are pointing in opposite directions, but they are not parallel as they are not in the same direction.
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How do I reduce latency on my website?.
There are several ways to reduce latency on your website: optimize images, minimize HTTP etc.
Use a Content Delivery Network (CDN): A CDN stores copies of your website on servers located in different geographic locations. When a user requests your website, they are served the copy from the nearest server, reducing the amount of time it takes for the website to load.
Optimize images and other media: Large images and other media files can slow down your website. Optimize these files by reducing their size without sacrificing quality.
Minimize HTTP requests: Every time a browser requests a file from your website, it adds to the latency. Minimize the number of requests by using CSS sprites, combining files, and using a script loader.
Use a caching plugin: Caching stores a copy of your website on the user's browser, reducing the amount of time it takes for the website to load on subsequent visits.
These are some ways to reduce latency on your website, implementing these tips will help to improve the load time and user experience of your website.
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is copper a good conductor of heat
Yes, copper is a good conductor of heat.
Copper is a good conductor of heat along with silver, aluminum etc. What makes copper a good conductor of heat is that it has free electrons moving inside it. The electrons can move freely through it which makes transfer of heat and its dissipation faster. The free electrons makes the conduction of heat and electricity possible. These electrons are called conduction electrons.
That's why copper is used in many cooking utensils, fuses and as a heat sink in electrical appliances. It is a good conductor of electricity also.
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How to find total distance traveled from position function?
Total distance traveled from position function is found by:
Differentiating the position function to get velocity function.Integrating the velocity function under proper limits.Example : Find the total distance traveled for a particle traveling in a horizontal motion from t = 0 to t = 5 seconds according to the position function:
s(t) = 8t^2 – 4t.
Step 1: Find the velocity function. The velocity function is the derivative of the position function. So, to find the velocity function you need to differentiate s(t) = 4t^2 – 2t, using the power rule and derivative of a constant rule:v(t) = 16t – 4
Step 2: Set the velocity function to zero, then solve, to find where the velocity function changes direction:v(t) = 16t – 4 = 0
16t – 4 (+ 4) = 0 (+ 4)
16t(/16) = 4 (/16)
t = 4/16 = 1/4
Step 3: Solve the position function for the starting and ending interval values (which are 0 and 5, according to the question), and any t-values you found in step 2:s(0) = 8(0)^2 – 4(0) = 0.
s(1/4) = 8(¼)^2 – 4(1/4) = -½
s(5) = 8(5)^2 – 4(5) = 180.
Step 4: Find the distance traveled between each point. These are vectors, so we have to use absolute values to find the distance:Between 0 and -½, distance = |-½ – 0| = ½ & Between -½ and 180, distance = |180 – (-½)| = 180½
Step 5: Add your values from Step 4 together to find the total distance traveled.½ + 180 ½ = 181
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Particles q1 = -66.3 UC, q2 = +108 uC, and
93 = -43.2 uC are in a line. Particles q1 and q2 are
separated by 0.550 m and particles q2 and q3 are
separated by 0.550 m. What is the net force on
particle q2?
The sum total of all forces which are acting on an object is known as the net force. A mass can accelerate due to the net force.
What is net force?The net force can be defined as the vector sum of all the forces which act upon an object. It is the sum of all the forces, taking into account the fact that a force is a vector and two forces of equal magnitude and opposite direction will cancel out each other.
Here, r₁₂ = 0.550m and r₂₃ = 0.550m. Then the distance from the first charge to the third one will be:
r₁₃ = r₁₂ + r₂₃ = 0.550 + 0.550 = 1.1m
According to the Coulomb's law, the net force on particle q₂ will be equal to the sum of the forces on particle q₂ from the particle q₁ and q₃.
F₃+ = F₁₃ +F₂₃ = q₁q₂/r²₁₃ + k q₃q₂/r²₂₃
Where, k = 9 × 10⁹ N m²/C²
Substituting numerical values, we obtain:
F₃ = 9 × 10⁹ (-66.3 × 10⁻⁶)(-43.2 × 9 × 10⁻⁶)/ 1.45² + 9 × 10⁹ × 108 × 10⁻⁶ (-43.2 × 10⁻⁶) / 0.550²
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Answer: -74.12
Explanation:
Credit to the comment above! this answer works for Acellus! :D
What unit of sound is measured in Mcq?.
The decibel is the unit of measurement for sound. dB stands for decibel.
What is decibel?The decibel is a unit of measurement that is one-tenth of a bel. It is the logarithmic ratio of two values of a power or root-power quantity. Two signals with one decibel difference in level have a power ratio of 101/10 or a root-power ratio of 10120. The decibel (dB) is a logarithmic unit of measurement for sound level. It is also widely used in electronics, communications, and signals. The dB is a logarithmic measure of a ratio. Power, sound pressure, voltage, or intensity are all examples of ratios.
Here,
The decibel is the unit of sound measurement. dB is an abbreviation for decibel.
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Categorize processes related to transform boundaries. Sort the following processes those likely to be related to a transform boundary or those likely associated with other boundary types
Categorization processes related to transform boundaries is earthquakes, other boundaries include divergence, convergence, subduction.
What activities take place at the boundaries of transform plate?Tectonic plates colliding horizontally at a plate boundary constitutes the third type of plate boundary. A transform plate boundary is what we have here. Huge stresses that result from the plates rubbing against one another can split rock under certain conditions, causing earthquakes. These cracks are referred to as faults in these locations.
At a transform plate boundary, the grinding motion between the plates causes shallow earthquakes, significant rock displacement to the side, and a significant expansion of the crustal zone.
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What does this experiment tell you about the amount of energy transfer that is required to change the temperatures of three different liquids?.
Each of the liquids had a different rate of energy transfer. The thermal energy within the thing increases if the object's mass rises while its temperature remains constant.
The term "energy transfer" describes the transfer of energy from one location to another. Consider the electricity that enters your wall socket, travels through a charger, and finally enters a battery. From the electrical outlet to the battery, energy is being transmitted.
One instance of energy transmission by radiation is the Sun's heating of the Earth. Another illustration is the heating of a space by an open-hearth fireplace. The things in the room receive some of the heat that is radiated by the flames, coals, and hot bricks.
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What is K in a vector?.
A plane wave's wave vector, also known as the k vector, is a vector that, at least in the case of isotropic optical material, points in the wave's direction of propagation. It always faces away from the wavefronts.
The x, y, and z-axes' respective vectors are three significant unit vectors that are frequently employed. The unit vectors in the x, y, and z axes are I j, and k respectively.
The unit vector in the x axis' direction is the unit vector. Three perpendicular axes will serve as the vector v's markers in the three-dimensional plane (x, y, z-axis). In mathematics, I stands in for the unit vector along the x-axis.
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Which three activities consume the most fuel in modern societies?
a. Cooking, air conditioning, transportation
b. Construction, lighting, entertainment
c. Manufacturing, transportation, entertainment
d. Heating, transportation, electricity generation
The correct option is : (d) Heating, transportation and electricity generation.
Energy is one of the major inputs for the economic development of the country. Any sustainable energy source that comes from the natural environment is a renewable energy source. Renewable energy is inexhaustible and a clean alternative to fossil fuelsRenewable energy is energy that is produced from natural processes and continuously replenished. A few examples of renewable energy are sunlight, water, wind, tides, geothermal heat, and biomass. The energy that is provided by renewable energy resources is used in 5 important areas such as air and water cooling/heating, electricity generation, the rural sector, and transportation.The existence of renewable energy resources is spread over a wide geographical area in comparison to the conventional energy resources which are often concentrated in a limited number of countries like the oil and gas are mostly concentrated in the Middle East countries. The use of renewable energy resources in energy generation is resulting in less pollution and has a significant effect on economic benefits and energy security.To know more about renewable energy visit:
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A man walk at a velocity of 3 m per econd before accelerating at a rate of 2 m quare for 4 what i hi velocity at end of the 4
Answer: Velocity of the particle is 11m/s.
What is velocity ?
-- Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time
-- Velocity is vector quantity.
-- Standard unit for the measurement is Metre/Second .
In this question we have given.
Initial velocity = 3m/s
Acceleration = 2m/s^2
We ned to find the velocity after 4 sec.
In this module we use
which is V = U + at
here :; V= 3 + 4× 2
V = 3 + 8.
V = 11 m/s .
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Where does the energy for the water cycle come from?
Answer: Answer below :)
Explanation:
Water & Energy Cycle
When energy from the Sun reaches the Earth, it warms the atmosphere, land, and ocean and evaporates water. The movement of water from the ocean to the atmosphere to the land and back to the ocean—the water cycle—is fueled by energy from the Sun.
Changes in the energy cycle will ripple into the water cycle. As greenhouses gases retain more energy in the Earth system, the extra energy enhances the water cycle. An enhanced water cycle means more extreme weather events, particularly floods and droughts.
What is the angle between the vector A 3i 4j K and B =- 4i 4j 4k?.
The angle between the vectors A and B is arccos(0.5) equal to 60 degree
The angle between two vectors can be found using the dot product, which is a measure of the similarity between the two vectors. The dot product is calculated by multiplying the corresponding components of the two vectors and then summing the results. In this case, the dot product of vectors A and B is (3 ×-4) + (44) + (k4k)
= -12 + 16 + 0 = 4.
The dot product is related to the angle between the two vectors by the following equation:
cos∅ = A × B / (A × B)
Where theta is the angle between the two vectors, A . B is the dot product of the two vectors, and A and B are the magnitudes (lengths) of the vectors. To find the angle you need to find the inverse cosine of this value.
Using the dot product formula,
= A . B / (A × B) = 4 / (3^2 + 4^2 + k^2) * (-4^2 + 4^2 + 4^2) = 0.5.
Then, taking the inverse cosine of 0.5 gives an angle of arccos(0.5) = 60 degrees between the vectors A and B.
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The un,earth and moon are roughly pherical like a ball. How do we know that the earth i a phere and not flat
The evidences that the Earth is a sphere not flat.
When we watch a ship sail off to sea, the mast and flag appear to slowly sink.When we climb a tree, the farther we climb the farther our line of sight will extend to the horizon.The length of the shadow at different places on the Earth is not the same.Seeing the curvature of the Earth from an airplane during the flight.Watching the sunset from higher place will get a clear horizon than watching from the lower place.During the lunar eclipse, we will see that the Earth's shadow is round.The Earth is A SphereThe Earth we know, is a sphere that rotates on its axis for about 24 hours. It also revolves around the Sun for about 365 days. Like other celestial bodies, researchers say that the Earth is round, a sphere.
There are many evidences that the Earth is a sphere. Some of them are as explained above.
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A change in the magnetic field surrounding the conductor induces a voltage in the conductor. this induced voltage is known as ___.
A change in the magnetic field surrounding a conductor induces a voltage in the conductor. This induced voltage is called self-induction.
A changing magnetic field induces an additional emf or voltage in a conductor. This induction of additional voltage is called self-induction because it is induced in the conductor itself. A coil of wire induces a current when it is placed in a changing magnetic field. Something creates an electric field around the wire, forcing a charge around it. (Early charges cannot become magnetic because they are not moving). Electromagnetic induction is the process by which an electric current is induced by a changing magnetic field.
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What is the relationship between the formula weight of a substance and its molar mass?.
The formula weight of a substance is the sum of the atomic weights of all the atoms in the molecular formula of the substance, while the molar mass of a substance is the mass of one mole of that substance.
The formula weight and molar mass of a substance are related in that the molar mass of a substance is equal to the formula weight of the substance divided by the Avogadro constant (6.022x10^23). Thus, the molar mass of a substance is numerically equal to the formula weight but expressed in grams per mole instead of atomic mass units.
This is because the Avogadro constant is a conversion factor that is used to convert the formula weight of a substance to the molar mass of the substance.
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When the value of g at the surface of the earth is 9. 8 m/s2 then what will be the value of g at a place 480 km above the surface of the earth radius of the earth 6400 km?.
The value of g at a place 480 km above the surface of the earth will be 8.49 m/s². If the value of g at the surface of the earth is 9.8 m/s².
Acceleration due to gravity of the earth is mathematically defined as
g = GM/R²......(1)
Where G is the universal gravitational constant, M is the mass of the earth, and R is the radius of the earth or the distance of the object on which the acceleration due to gravity of the earth is to calculate.
R = 6400 km
h = 480 km
g₁ = GM/(R+h)²......(2)
On dividing the equation (2) by equation (1)
g₁/g = R²/(R+h)²
g₁ = gR²/(R+h)²
g₁ = 9.81 × (6400)²/(6400+480)²
g₁ = 8.49 m/s²
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How will the electrostatic force be changed if the distance between two electric charges is tripled?.
The force between two charged objects is inversely proportional to the square of their distance, according to Coulomb's Law. As a result, the force will weaken by a factor of 9 if the distance is tripled.
When the distance is tripled, what happens to the electrostatic force?Additionally, the electrostatic force decreases by a factor of nine when the separation distance is tripled, or increased by a factor of 3.
When there is a doubled distance between two charges, what will happen to the electrostatic force?As the distance between the two charges increases by a factor of four, so does the magnitude of the force. As a result, the attraction or repulsion decreases to one-fourth of its original value if the distance between the two charges is doubled.
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What is the SI unit of acceleration Mcq?.
Because the unit of speed is the meter per second and the unit of time is the second, the SI unit of acceleration is the meter per second squared, or m / s2.
What is acceleration?In mechanics, acceleration is defined as the rate of change of an object's velocity with respect to time. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force. The rate of change of velocity is defined as acceleration. Acceleration usually indicates that the speed is changing, but this is not always the case. When an object moves in a circular path at a constant speed, it is still accelerating because its velocity direction changes. The definition of acceleration is. The rate at which velocity changes with respect to time. Because it has both magnitude and direction, acceleration is a vector quantity.
Here,
Because the meter per second is the unit of speed and the second is the unit of time, the SI unit of acceleration is meter per second squared, or m / s2.
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A worker moves a table, sliding it across the level floor a distance of 3.0 m using a force of 45 N. Calculate the work done by the worker.
Answer:
135 J
Explanation:
Let's take a look at the formula for Work, W=Fd, F being force (N) and d being distance (m). We are given the force and distance so plugging it into the formula, W=45N(3.0m), we get 135 J of work.
Hope this helps!
what is the wavelength of a beam of light having a frequency of 6 × 10^17 hz?
The wavelength of the of a beam of light having a frequency of 6 × 10^17 hz is 5*10^(-8)m or 50nm.
Data given as per the question:
Frequency of the wavelength: 6 × 10^17 hz
As we know that,
Speed of light = Frequency × wavelength
Speed of light (c)=3×[tex]10^{8}[/tex] m/s.
Frequency (f)=6×10[tex]10^{14}[/tex] Hz (given)
Wavelength (λ)=?
As per the formula,
λ= [tex]\frac{c}{f}[/tex]
= 5*10^(-8)m or 50nm
The wavelength of light can be defined as the distance between the two successive crests or troughs of the light wave. It is actually denoted by the Greek letter lambda (λ). Hence, the distance between either one crest or trough of one wave and the next wave is known as wavelength.
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