Determine the maximum velocity and maximum acceleration of a particle which moves in simple harmonic motion with an amplitude of 0.2 in and a period of 0.1 s.

Answers

Answer 1

Answer:

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

Explanation:

The equation of motion for the position of a particle experimentating a simple harmonic motion ([tex]x(t)[/tex]), measured in inches, is described by the following expression:

[tex]x(t) = A\cdot \cos \left(\frac{2\pi\cdot t}{T} +\phi\right)[/tex] (1)

Where:

[tex]A[/tex] - Amplitude, measured in inches.

[tex]t[/tex] - Time, measured in seconds.

[tex]T[/tex] - Period, measured in seconds.

[tex]\phi[/tex] - Phase, measured in radians.

Then, we obtain the formulas for the velocity and acceleration of the particle by differentiating (1):

[tex]v(t) = -\frac{2\pi\cdot A}{T}\cdot \sin \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (2)

[tex]a(t) = -\left(\frac{2\pi}{T} \right)^{2}\cdot A\cdot \cos \left(\frac{2\pi\cdot t}{T}+\phi \right)[/tex] (3)

From (2) and (3) we find that maximum velocity ([tex]v_{max}[/tex]), measured in inches per second, and maximum acceleration ([tex]a_{max}[/tex]), measured in inches per square second, are defined by the following formulas:

[tex]v_{max} = \frac{2\pi\cdot A}{T}[/tex] (4)

[tex]a_{max} = \left(\frac{2\pi}{T} \right)^{2}\cdot A[/tex] (5)

If we know that [tex]A = 0.2\,in[/tex] and [tex]T = 0.1\,s[/tex], then the maximum velocity and maximum acceleration of the particle are, respectively:

[tex]v_{max} = \frac{2\pi\cdot (0.2\,in)}{0.1\,s}[/tex]

[tex]v_{max} \approx 12.566\,\frac{in}{s}[/tex]

[tex]a_{max} = \left(\frac{2\pi}{0.1\,s} \right)^{2}\cdot (0.2\,in)[/tex]

[tex]a_{max} \approx 789.568\,\frac{in}{s^{2}}[/tex]

The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.

Answer 2

When an object executes a to and fro motion is said to be a simple harmonic motion. The maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s².

What is simple harmonic motion?

When an object executes a to and fro motion in the definite plane when it is tied with the string. The type of motion will be the simple harmonic motion.

Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on the moving item is directly proportional to the size of the object.

The value of maximum velocity is given by the formula in the SHM motion is

[tex]\rm V_{max = \frac{2\pi A}{T}[/tex]

[tex]\rm V_{max} = \frac{2\times 3.14 \times 0.2 }{0.1}[/tex]

[tex]\rm V_{max = 12.566 \;in/sec[/tex]

The value of maximum acceleration is given by the formula in the SHM motion is

[tex]\rm a_{max}=(\frac{2\pi}{T} )^2.A\\\\ \rm a_{max}=(\frac{2\times 3.14 }{0.1} )^2 \times 0.2 \\\\ \rm a_{max}=789.568\; in/sec^2[/tex]

Hence the maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568  in/s²

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Related Questions

A 105 kg football player runs at 8.5 m/s and plows into the back of an 85 kg referee running at 3.5 m/s on the field causing the referee to fly forward at 6.0 m/s.
What is the momentum of the referee after the collision?

Answers

Answer:

P = 510 Ns

Explanation:

Momentum is defined as the quantity of motion contained in a body. Mathematically momentum is defined as the product of mass and the velocity of the body. So in order to find out the momentum of the referee after the collision with the football player, we can use the following formula:

[tex]P = mv\\[/tex]

where,

P = Momentum of the referee after the collision = ?

m = mass of the referee = 85 kg

v = speed of the referee after collision = 6 m/s

Therefore,

[tex]P = (85\ kg)(6\ m/s)[/tex]

P = 510 Ns

how does the tilt of earth affect the hours of daylight north of the tropical of cancer at the time of year shown?​

Answers

Answer:

look it tilts and light

A bungie jumper of mass 50kg is attached to a bungie with a constant of 100Nm. The unstretched length of the bungie is 15m. What is the maxmimum velocity of the jumper

Answers

Answer:

v = 18.5 m /s

Explanation:

The velocity of the jumper will go on increasing until his weight is more than the restoring force created in the bungle.

mg = kx

50 x 9.8 = 100 X

X = 4.9 m

Total fall = 15 + 4.9 = 19.9 m

kinetic energy gained due to fall by 19.9 m

= mgh = 50 x 9.8 x 19.9 = 9751 J

energy lost due to stored elastic energy in bungie

= 1/2 k x²

= .5 x 100 x 4.9²

= 1200.5 J

Remaining kinetic energy = 9751 - 1200.5 = 8550.5 J

1/2 m v² = 8550.5

.5 x 50 x v² = 8550.5

v² = 342

v = 18.5 m /s

If the maximum tension in the simulation is 10.0 N, what is the linear mass density (m/L) of the string

Answers

Complete Question

The speed of a transverse wave on a string of length L and mass m under T is given by the formula

     [tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

If the maximum tension in the simulation is 10.0 N, what is the linear mass density (m/L) of the string

Answer:

[tex](m/l)=\frac{10}{V^2}[/tex]

Explanation:

From the question we are told that

Speed of a transverse wave given by

[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

Maximum Tension is [tex]T=10.0N[/tex]

Generally making [tex](m/l)[/tex] subject from the equation mathematically we have

[tex]v=\sqrt{\frac{T}{(m/l)}}[/tex]

[tex]v^2=\frac{T}{(m/l)}[/tex]

[tex](m/l)=\frac{T}{V^2}[/tex]

[tex](m/l)=\frac{10}{V^2}[/tex]

Therefore the Linear mass in terms of Velocity is given by

[tex](m/l)=\frac{10}{V^2}[/tex]

how do the linear momentum and kinetic energy of the two-atom system after the collision compare to these quantities before the collision g

Answers

Explanation:

Two atoms with equal masses, m, and equal speed, v, engage in a head on elastic collision. Since, the two atoms both having equal masses and equal but opposite velocity, the total linear momentum of the system is zero. Therefore, conservation of linear momentum to be conserved , the velocities before and after collision are same. Similarly, in elastic collision total kinetic energy is also conserved. The kinetic energy before and after collision are same.

Which example best matches the term refraction? (17 Points)
O A. Light spreads out after it travels through a keyhole

O B. A straw in a glass of water looks bent

O C. Seeing your image in a lake

O D. An orchestra of different sounds coming together to make a larger sound​

Answers

Answer:

B

Explanation:

Just answerd that question!!!

Hope it helped!!!

.

All of the following are ways in which sports psychologists help athletes except __________.
A.
staying motivated
B.
managing fear of failure
C.
improving performance
D.
enhancing memory


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

D-Enhancing memory

Explanation:

A cart's initial velocity is +3.0 meters per second. What is its final velocity after accelerating at a rate of 1.5 m/s2 for 8.0 seconds?
A. 36 m/s
B. 9 m/s
C. 72 m/s
D. 15 m/s​

Answers

Answer:

V = 15m/s

Explanation:

Given the following data;

Initial velocity = 3m/s

Time = 8secs

Acceleration = 1.5m/s²

To find the final velocity, we would use the first equation of motion;

V = U + at

Substituting into the equation, we have

V = 3 + 1.5*8

V = 3 + 12

V = 15m/s

Which team sport utilizes judges to determine the points earned?

Answers

Answer:

Rhythmic Gymnastics

Explanation:

What is the velocity of a dropped object after it has fallen for 12 s?

Answers

Hellow!

For this use the next formula:

Vf = Vo + gt

Initial velocity is zero, so the formula simplificate:

Vf = gt

Data:

Vf = Final velocity = ?

g = Gravity = 9.8 m/s²

t = Time = 12 s

Replacing according our data:

Vf = 9.8 m/s² * 12 s

Vf = 117.8 m/s

The final velocity will be 117.8 meters per second.

What is the gravitational force between two students, Dylan and Sarah, if Dylan has a mass of 75 kg, Sarah has a mass of 54 kg, and their centers are separated by a distance of.45 m

Answers

Answer:

[tex]F=1.334*10^-^6[/tex]

Explanation:

From the question we are told that

Mass of Dylan [tex]M_d=75kg[/tex]

Mass of Sarah [tex]M_s=54kg[/tex]

Centers separated by[tex]C=0.45m[/tex]

Generally the equation for solving gravitational force is given by

[tex]F=\frac{G*m_1m_2}{r^2}[/tex]

[tex]F=\frac{6.67*10^-^1^1*75*54}{(0.45)^2}[/tex]

[tex]F=1.334*10^-^6[/tex]

Therefore Gravitational force is given as

[tex]F=1.334*10^-^6[/tex]

help plz, will give brainliest!!!!

Answers

Answer:

It looks like a total of 9 meters

Explanation:

the dot on the graph for 1910 sits JUST below the mark for 10 meters

In physics, every physical quantity is measured with respect to a unit. Time is measured in seconds, length is measured in meters, and mass is measured in kilograms. Knowing the units of physical quantities will help you solve problems in physics.

Gravity causes objects to be attracted to one another. This attraction keeps our feet firmly planted on the ground and causes the moon to orbit the earth. The force of gravitational attraction is represented by the equation.

F= Gm1m2 /r^2

where F is the magnitude of the gravitational attraction on either body, m1 and m2 are the masses of the bodies, r is the distance between them, and G is the gravitational constant. In Sl units, the units of force are kg m/s^2, the units of mass are kg, and the units of distance are m. For this equation to have consistent units, the units of G must be which of the following?

a. kg^3/ms^2
b. kgs^2/m^3
c. m^3/kgs^2
d. m/kgs^2

Answers

Answer:

Unit of G = m³/kg s²

Explanation:

The force of gravitational attraction is represented by the equation.

[tex]F=G\dfrac{m_1m_2}{r^2}[/tex]

F is the magnitude of the gravitational attraction on either body

m₁ and m₂ are the masses of the bodies, r is the distance between them. G is the gravitational constant.

We need to find the unit of G.

Rearranging the above formula for G.

[tex]G=\dfrac{Fr^2}{m_1m_2}[/tex]

Putting units of F,m and r such that,

[tex]G=\dfrac{N\times m^2}{kg^2}\\\\\because N=kgm/s^2\\\\G=\dfrac{kg\times m\times m^2}{kg^2\times s^2}\\\\G=m^3/kgs^2[/tex]

Hence, the correct option is (c) m³/kg s².

A spring has an unstretched length of 16 cm . A 110 g mass hanging from the spring stretches it to an equilibrium length of 24 cm . Part APart complete Suppose the mass is pulled down to where the spring's length is 32 cm . When it is released, it begins to oscillate. What is the amplitude of the oscillation

Answers

Answer:

the amplitude of the oscillation is 8 cm

Explanation:

The computation of the amplitude of the oscillation is shown below:

= Length of the spring - length of the equilibrium

= 32 cm - 24 cm

= 8 cm

By deducting the  length of the equilibrium from the length of the spring we can get the amplitude of the oscillation and the same is to be considered

hence, the amplitude of the oscillation is 8 cm

The large window air conditioner in Anita Breeze's room draws 11 amps of current. The unit runs for 8.0 hours during the course of a day. Determine the quantity of charge that passes through Anita's window AC during these 8.0 hours.

Answers

Answer:

quantity of charge that passes through Anita's window AC, Q = 316800 C

Explanation:

given  data

current I = 11 amps

runs t = 8.0 hours

solution

we get here quantity of charge that passes through Anita's window AC

the quantity of charge passing Q = I × t     .................1

Q =  11 A × ( 8 hr )×  ( 3600 s/hr)

so

quantity of charge that passes through Anita's window AC, Q = 316800 C

The quantity of charge that passes through Anita's window AC, will be

Q = 316800 C

What is Current?

The current is defined as the quantity of charge flowing from the wire per unit time. Also defined as the rate of flow of the charge through any circuit. The formula will be given as:

[tex]\rm I=\dfrac{Q}{t}[/tex]

Now it is given that:

current I = 11 amps

runs t = 8.0 hours

The quantity of charge that passes through Anita's window AC during these 8.0 hours. Will be calculated as:

[tex]Q=I\times t[/tex]

[tex]Q=11\times 8\times 3600[/tex]

[tex]Q=316800 \ C[/tex]

Thus the quantity of charge that passes through Anita's window AC, Q = 316800 C

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Explain whether a tennis ball dropped from a high distance experiences an elastic collision or inelastic collision

Answers

I need help on that too poop head

A track 400 m in periphery is to be laid out on the practice field. Each semicircular end must have a radius of at least 20 m, and each straight section must be at least 100 m. How should the track be laid out so that it encompasses the least area

Answers

Answer:

r = 31.8

Explanation:

To start with, we make the following assumptions. Let

r be the radius of semicircular end

l be the length of straight section

a be the area inside track, then

p = 2πr + 2l = 400

a = πr² + 2rl

2πr + 2l = 400

l = 200 - πr, substituting for l in area,

a = πr² + 2r(200 - πr)

a = πr² + 400r - 2πr²

a = 400r - πr²

In order to find our minimum area, we differentiate with respect to r and then it equate to zero

da/dr = 400 - 2πr = 0

r = 200/π, substituting for r in equation for l,

l = 200 - πr

l = 0 m

And since this is not possible, l must be 100 m (the minimum), and

r = (200 - 100)/π

r = 100/π = 31.8 m

is college football playoffs the best way to determine the national champion?

Answers

Answer:

No it is Not because win ratio is differs say Ohio only won 7 out of 7 games and e

was in the playoffs while Alabama won 11 out of 11 games so it is harder to win 11 out of 1a games and it is easier to win 7 out of 7

Explanation:  would like brainliest but u don’t have to

What are the three longest wavelengths for standing waves on a270-cm-long string that is fixed at both ends

Answers

Answer:

The answer is below

Explanation:

a) What are the three longest wavelengths for standing waves on a 270-cm-long string that is fixed at both ends? b. If the frequency of the second-largest wavelength is 50.0 Hz, what is the frequency of the third-longest wave length?

Solution:

a) The wavelengths (λ) for standing waves is given by the formula:

[tex]\lambda_m=\frac{2*length\ of\ string}{m}\\\\Where\ m=1,2,3,.\ .\ .\\\\Given\ that\ length\ of\ string = 270\ cm=2.7\ m,\ m=1,2,3(three\ longest\ wavelengths)\\\\Hence:\\\\\lambda_1=\frac{2(2.7)}{1}=5.4\ m\\\\\lambda_2=\frac{2(2.7)}{2}=2.7\ m \\\\\lambda_3=\frac{2(2.7)}{3}=1.8\ m[/tex]

b) The frequency (f) and wavelength (λ) is given by:

fλ = constant

Hence:

[tex]f_2\lambda_2=f_3\lambda_3\\\\f_2=50\ Hz\\\\2.7*50=f_3(1.8)\\\\f_3=\frac{2.7*50}{1.8} \\\\f_3=75\ Hz[/tex]

The three longest wavelengths for the standing waves on a 270-cm long string that is fixed at both ends are:

1. 5.4 meters.

2. 2.7 meters.

3. 1.8 meters.

Given the following data:

Length of string = 270 cm to m = [tex]\frac{270}{100} =2.7\;m[/tex]

To determine the three (3) longest wavelengths for these standing waves:

Mathematically, the wavelength for standing waves is given by the formula:

[tex]\lambda_n = \frac{2L}{n}[/tex]

Where:

[tex]\lambda_n[/tex] is the wavelength for standing waves.L is the length of string.

Note: n = 1, 2, and 3.

When n = 1:

[tex]\lambda_1 = \frac{2\times 2.7}{1} \\\\\lambda_1 = 5.4 \;meters[/tex]

When n = 2:

[tex]\lambda_2 = \frac{2\times 2.7}{2} \\\\\lambda_2 = 2.7 \;meters[/tex]

When n = 3:

[tex]\lambda_3 = \frac{2\times 2.7}{3} \\\\\lambda_3 =\frac{5.4}{3} \\\\\lambda_3 = 1.8 \;meters[/tex]

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A medicine ball has a mass of 8.0 kg and is thrown with a speed of 3.0 m/s. What is its kinetic energy?
O A 12 J
O
B. 24 J
C. 36 J
0 D. 192 J

Answers

Answer:

C. 36J

Explanation:

KE = ½ m V²

= ½ × 8 × 3²

= 4 × 9

= 36 J

Which element of the integumentary system is responsible for acne in adolescents?

subcutaneous adipose tissue

sweat glands

squamous cells

sebaceous glands

Answers

Sebaceous glands


Our sebaceous glands produce oil to keep our skin moisturized, but when they produce too much oil, acne can form.

Acne is a long-lasting condition that affects the sebaceous glands and hair follicles in the middle layer of the skin.Acne is characterized by clogged sebaceous glands, which produce pimples and cysts.

Which part of the integumentary system is responsible for acne?

A condition of the oil glands and hair follicles is acne (sebaceous glands).To keep the skin moist, the sebaceous glands release oils (sebum).Acne and cysts can develop as a result of clogged glands. Sebum makes the skin more resistant to moisture and lubricates it to defend against abrasion.Additionally, the sebaceous gland has a natural light protection action and transfers antioxidants into and onto the skin.It has pro- and anti-inflammatory properties as well as an intrinsic antimicrobial activity. Your skin, hair, and nails make up your integumentary system.It serves as the top layer of defense against bacteria and damage to your body. The face, upper chest, and back are among the skin regions where sebaceous follicle density is highest and are frequently affected by acne vulgaris. Sebum, an oily fluid that moisturizes your skin and hair, and dead skin cells clog hair follicles, resulting in acne.Bacteria can cause infection and inflammation, which worsen acne. Other sebaceous gland functions, such as sebaceous proinflammatory lipids, various locally produced cytokines, periglandular peptides and neuropeptides, such as corticotrophin-releasing hormone, which is produced by sebocytes, and substance P, which is expressed in sebocytes, are also linked to the development of acne.

        To learn more about acne in adolescents refer

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An investigator is using a laser to illuminate a distant target. He decides that he needs a smaller beam, so he puts a pinhole directly in front of the laser. He finds that this actually spreads the beam out, making matters worse.

Explain what is happening.

a. The pinhole has a size comparable with the laser wavelength, so the pinhole refracts the passing laser beam.
b. The pinhole has a size smaller than the laser wavelength, so the pinhole refracts the passing laser beam.
c. The pinhole has a size smaller than the laser wavelength, so the pinhole diffracts the passing laser beam.
d. The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Answers

Answer:

correct answer is d

The pinhole has a size comparable with the laser wavelength, so the pinhole diffracts the passing laser beam.

Explanation:

The researcher does not have a refraction problem since the medium on both sides of the pinhole is the same with the same refractive index, the problem he is having is with the diffraction of the laser beam through the pinhole, let's analyze the diffraction process that is described by the expression

          a sin θ = m λ

where a is the pinlole size,  λ the wavelength of the laser and m an integer.

The laser extends from the maximum of diffraction to the first zero (m = 1) of diffraction

         sin θ =  λ/a

when analyzing this expression we have some interesting cases

* when  λ « a. the sine approaches zero therefore we are in the case of optical geometry, in this case the laser passes through the hole without being diffracted

* when  λ ≈ a.  the sine function has values ​​between 0 and 1, for which a diffraction of the laser beam occurs, which increases the diameter of the same

* when  λ> a.  The laser does not pass through the gap since the sine cannot have values ​​greater than 1

After this analysis, we review the answers to the exercise to find that the correct answer is d

In a typical badminton swing the racket is in contact with the birdy for about 0.0010 seconds. If the 0.045kg birdy acquires a speed of 67 m/s, what is the force exerted by the racket on the ball

Answers

Answer:

3015 N

Explanation:

From Newton's second law, we know that;

F.t = mv

F = force on the ball= ?

m= mass of the ball

v= velocity

F= mv/t

F= 0.045 × 67/0.0010

F= 3.015/0.0010

F= 3015 N

The force exerted by the racket on the ball is 3015 N.

The force exerted by the racket on the ball is given in the formula below.

⇒ Formula:

F = mΔv/t............... Equation 1

⇒ Where:

F = force exerted by the racketm = mass of the birdyΔv = change in speedt = time.

From the question,

⇒ Given:

m = 0.045 kgΔv = 67 m/st = 0.0010 seconds.

⇒ Substitute these values into equation 1

F = 0.045(67)/0.001F = 3015 N

Hence, The force exerted by the racket on the ball is 3015 N

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what tells you whether you are feeling hot, cold or in pain?

A. Nerves/Neurons
B. Spinal Cord
C. Brain
D. Skin ​

Answers

Answer:

i think its skin..think so this answre help you

mass is 5 lb attached to a rope wound around a pulley. The radius of the pulley is 3 in. If the mass falls at a constant velocity of 5 ft/s, determine the power transmitted to the pulley, in hp.

Answers

Answer:

The power transmitted to the pulley is 0.0455 hp.

Explanation:

Given;

mass attached to the rope, m = 5 lb

radius of the pulley, r = 3 in

constant rate of fall of the mass, v = 5 ft/s

acceleration due to gravity, g = 32.2 ft/s²

1 lbf = 32.2 lb.ft/s²

The power transmitted to the pulley is calculated as;

P = Fv

P = (mg)v

[tex]P = 5 \ lb \ \times \ 32.2 \ \frac{ft}{s^2} \ \times \ 5 \ \frac{ft}{s} \ \times \ \frac{1 \ lbf}{32.2 \ lb.ft/s^2} \ \ = 25 \ \frac{ft.lbf}{s} \\\\[/tex]

in horse power, the power transmitted is calculated as;

[tex]P = \frac{25 \ ft.lbf}{s} \ \times \ \frac{1 \ hp}{550 \ ft.lbf/s} \ \ = 0.0455 \ hp[/tex]

Therefore, the power transmitted to the pulley is 0.0455 hp.

what makes 97 of the water on earth unfit for drinking

Answers

Answer:

presence of salt in oceanic water makes 97 of the water on the earth unfit for drinking

Imagine you are a TV sports commentator for a major car race. What techniques could
you use to describe the action to your audience?

Answers

Answer:

friction , magnetism etc

According to you, at the instant that the clock at the rear of the car displays 12:00 noon, what time will be displayed on the clock at the front of the car

Answers

Answer:

Time displayed on clock at the front of car is 12:00 noon

Explanation:

According to the question the Time displayed on rear clock of the car displays 12:00 noon.

since car has maximum speed of car is 100 m/s

i.e., they does not move with relativity speed

hence there will be no time dilation in time

Therefore, Time displayed on clock at the front of car is 12:00 noon

A hammer strikes a nail with a 10 N force for 0.01 seconds. Calculate the impulse of the hammer.

Answers

Answer:

0.1Ns

Explanation:

Impulse is the product of Force and time

Impulse = Force * Time

Given

Force = 10N

Time = 0.01s

Substitute into the formula

Impulse = 10 * 0.01

Impulse = 10 * 1/100

Impulse = 10/100

Impulse = 0.1Ns

hence the impulse of the hammer is 0.1Ns

Which is greater, the energy of one photon of orange light or the energy of one quantum ofradiation having a wavelength of 3.36 * 10^-9

Answers

The question is incomplete, here is the complete question:

Which is greater, the energy of one photon of orange light or the energy of one quantum of radiation having a wavelength of [tex]3.36\times 10^{-9}m[/tex]

Answer: The energy of one quantum of radiation having wavelength [tex]3.36\times 10^{-9}m[/tex] is greater than the energy of 1 photon of orange light.

Explanation:

To calculate the energy of one photon, we use the Planck's equation:

[tex]E=\frac{N_Ahc}{\lambda}[/tex]

where,

E = energy of radiation

[tex]N_A[/tex] = Avogadro's number = [tex]6.022\times 10^{23}mol^{-1}[/tex]

h = Planck's constant = [tex]6.626\times 10^{-34}Js[/tex]

c = speed of light = [tex]3\times 10^8 m/s[/tex]

[tex]\lambda}[/tex] = wavelength of radiation

For orange light:

For 1 photon, the term [tex]N_A[/tex] does not appear

[tex]\lambda}[/tex] = 620 nm = [tex]620\times 10^{-9}m[/tex]             (Conversion factor: [tex]1nm=10^{-9}m[/tex] )

Putting values in above equation, we get:

[tex]E=\frac{6.626\times 10^{-34}Js\times 3\times 10^8m/s}{620\times 10^{-9}m}\\\\E=3.206\times 10^{-19}J[/tex]

For one quantum of radiation:

[tex]\lambda}[/tex] = [tex]3.36\times 10^{-9}m[/tex]

Putting values in above equation, we get:

[tex]E=\frac{6.022\times 10^{23}mol^{-1}\times 6.626\times 10^{-34}Js\times 3\times 10^8m/s}{3.36\times 10^{-9}m}\\\\E=3.56\times 10^{7}J/mol[/tex]

Hence, the energy of one quantum of radiation having wavelength [tex]3.36\times 10^{-9}m[/tex] is greater than the energy of 1 photon of orange light.

Other Questions
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