The blue color of the sky results from the scattering

Sam Longoria 2021-12-15 Answered
The blue color of the sky results from the scattering of sunlight by molecules in the air. The blue light has a frequency of about 7.5×1014Hz
a) Calculate the wavelength (in nm) associated with this radiation, and
b) calculate the energy (in joules) of a single photon associated with this frequency.
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Ethan Sanders
Answered 2021-12-16 Author has 35 answers

Step 1 
Part A: 
Use the speed of light equation to calculate the wavelength corresponding to this frequency. 
x=λν 
λ=cν 
=2.998×108ms7.5×1014s1 
=4.0×107m 
Determine the wavelength of this photon in units of nanometers: 
1. Begin with the wavelength in meters. 
2. Use a conversion factor to convert meters into nanometers. 
λ=4.0×107m1nm 109m
=4.0×102nm 
Step 2 
Part B: 
Use the equation for the energy of a photon to calculate the energy of this photon 
E=hν 
=(6.626×1034J×s)(7.5×1014s1) 
=5.0×1019J

Not exactly what you’re looking for?
Ask My Question
Anzante2m
Answered 2021-12-17 Author has 34 answers
Step 1
Given:
The frequency of light =7.5×1014Hz
Calculating the wavelength:
Relation between frequency and wavelength: λ=νc
c=3×108ms
ν=7.5×1014Hz
Substitute the known values in the above formula and simplify,
λ=7.5×1014Hz3×108ms
=0.4×106m
=400×109m
And, 1nm=109m
=400nm
λ=400nm
Step 2
The energy of a single photon associated with the frequency:
Formula: E=hν
h=placonstant=6.63×1034
ν=7.5×1014Hz
E=6.63×1034×7.5×1014Hz
=49.695×1020J
=4.9695×1019J
E=4.9695×1019J
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2020-12-21
Which of the following is a correct comment?
*/ Comments */
** Comment **
/* Comment */
{ Comment }
Which of the following is not a correct variable type?
float
int
real
double
asked 2020-11-01
A horizontal force of 210N is exerted on a 2.0 kg discus as it rotates uniformaly in a horizontal circle ( at arm's length ) of radius .90 m. Calculate the speed of the discus
asked 2021-03-07
Force F = (2.0 N) i - (3.0 N) k acts on a pebble with positionvector r = (O.50 m) j - (2.0 m) k, relative to the origin. What isthe resulting torque acting on the pebble about
a.) the origin and
b.) a point with coordinates (2.0 m, 0, - 3.0 m)?
asked 2021-02-26
A tow truck pulls a car that is stuck in the mud, with a force of 2500 N as in Fig P5.27 The tow cable is under tension and therefor pulls downward and to the left on the pin at its upper end. The light pin is held in equilibrium by forces exerted by the two bars A and B. Each bar is a strut that is, each is a bar whose weight is small compared to the forces it exerts, and which exerts forces only through hinge pins at its ends. Each strut exerts a force directed parallel to its length. Determine the force of tension or compression in each strut. Proceed as follows Make a guess as to which way (pushing or pulling ) each force acts on the top pin Draw a free-body diagram of the pin. Use the condition for equilibrium of the pin to translate the free-body diagram into equations. From the equations calculate the forces exerted by struts A and B. If you obtain a positive answer, you correctly guessed the direction of the force. A negative answer means the direction should be reversed, but the absolute value correction should be reversed, but the absolute value correctly gives the magnitude of the force. If a strut pulls of a pin, it is in tension. If it pushes, the strut is in compression. Identify whether each strut is in tension or in compression.
asked 2022-01-14
What is the balanced net ionic equation for the reaction of Al(OH)3(s) with HNO3(aq)?
- OAI(OH)3(s)+3H+(aq)Al3+(aq)+3H2O()
- Al(OH)3(s)+3H+(aq)+3NO3(aq)Al3+(aq)+3NO3(aq)+3H2O()
- Al(OH)3(s)+H+(aq)+NO3(aq)Al3+(aq)+3H2O()
- Al(OH)3(s)+HNO3(aq)Al(NO3)3(aq)+3H2O()
- Al(OH)3(s)+H+(aq)Al3+(aq)+H2O()
asked 2022-01-14
Rank these species by their ability to act as an oxidizing agent.
Mg2+
Zn2+
Cu+
F2
asked 2021-11-17

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for xa and is continuous at a.
f(x)=x41x1 ,a=1

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question