What is the frequency of light with a wavelength of 634 nm?

What is the frequency of light with a wavelength of 634 nm?

• A. 2.99 x 10^14 Hz
• B. 4.73 x 10^14 Hz
• C. 5.97 x 10^14 Hz
• D. 3.54 x 10^13 Hz

Answer: (B)

To determine the frequency of light from its wavelength, you can use the formula that relates wavelength (λ) and frequency (ν): \[ c = ν × λ \] where \( c \) is the speed of light in vacuum, approximately \( 3.00 \times 10^8 \) meters per second. First, it's essential to convert the wavelength from nanometers to meters, since the speed of light is in meters. Given that 1 nanometer (nm) is equal to \( 1 \times 10^{-9} \) meters, a wavelength of 634 nm is converted to meters as follows: \[ 634 \, \text{nm} = 634 \times 10^{-9} \, \text{m} \] Next, using the speed of light equation, we can rearrange it to solve for frequency: \[ ν = \frac{c}{λ} \] Substituting in the known values: \[ ν = \frac{3.00 \times 10^8 \, \text{m/s}}{634 \times 10^{-9} \, \text{m}} \] Calculating this gives: \[

To determine the frequency of light from its wavelength, you can use the formula that relates wavelength (λ) and frequency (ν):

[

c = ν × λ

]

where ( c ) is the speed of light in vacuum, approximately ( 3.00 \times 10^8 ) meters per second.

First, it's essential to convert the wavelength from nanometers to meters, since the speed of light is in meters. Given that 1 nanometer (nm) is equal to ( 1 \times 10^{-9} ) meters, a wavelength of 634 nm is converted to meters as follows:

[

634 , \text{nm} = 634 \times 10^{-9} , \text{m}

]

Next, using the speed of light equation, we can rearrange it to solve for frequency:

[

ν = \frac{c}{λ}

]

Substituting in the known values:

[

ν = \frac{3.00 \times 10^8 , \text{m/s}}{634 \times 10^{-9} , \text{m}}

]

Calculating this gives:

[