Question

What is the frequency of the light with a wavelength of 4.90x10^-7 m

Answer 1

The frequency of light with a wavelength of 4.90×10⁻⁷ m is 6.12×10¹⁴ Hz, calculated using the speed of light and the known wavelength, falling within the range for visible light.

To calculate the frequency of light with a certain wavelength, we use the relationship λv = c, where λ is the wavelength, v is the frequency, and c is the speed of light. The speed of light, c, is a constant with a value of 3.0 × 108 m/s. For a wavelength (λ) of 4.90× 10–7 m, we can rearrange the equation to solve for frequency (v) as v = c / λ.

Using the values:
v = 3.0 × 108 m/s / 4.90× 10–7 m
v = 6.12 × 1014 Hz

The frequency falls within the range for visible light, which is between approximately 4 × 10–7 m (400 nm) and 7 × 10–7 m (700 nm).

Answer 2

Answer:
`6.12* 10^(14)` Hz

Explanation: Recall the formula for the speed of light is

`c=\lambda v`

where
`c` is the speed of light,
`\lambda` is the wavelength, and
`v` is the frequency. Assuming this takes place in a vacuum,
`c=3.00* 10^8` m/s. Now we can solve for frequency

`c=\lambda v`

`3.00* 10^8 = 4.90* 10^(-7)\cdot v`

`v = (3.00* 10^8)/(4.90* 10^(-7))`

`v =6.12* 10^(14)` (rounding to 3 sig figs)

Thus, the frequencyis
`6.12* 10^(14)` Hz.