Question

Calculate the total energy carried by ten photons when a photon has a frequency of 23Hz.

Answer 1

Explanation:

You use either the formula

E

=

h

f

or

E

=

h

c

λ

.

Explanation:

h

is Planck's Constant,

f

is the frequency,

c

is the speed of light, and λ is the wavelength of the radiation.

EXAMPLE 1

Calculate the energy of a photon of radiation whose frequency is

5.00

×

10

14

Hz

.

Solution 1

E

=

h

f

=

6.626

×

10

−

34

J

⋅

s

×

5.00

×

10

14

s

−

1

=

3.31

×

10

−

19

J

The energy is

3.31

×

10

−

19

J

.

EXAMPLE 2

Calculate the energy of a photon of radiation that has a wavelength of 3.3 µm.

Solution 2

E

=

h

c

λ

=

6.626

×

10

−

34

J

⋅

s

×

2.998

×

10

8

m⋅s

−

1

3.3

×

10

−

6

m

=

6.0

×

10

−

20

J

Here's a video on how to find the energy of a photon with a given wavelength.

Answer 2

Answer:

 

E

=

h

f

or  

E

=

h

c

λ

.

Explanation: