Question

The wavelength of light is given by the velocity divided by the frequency. the velocity of blue light is 300,000,000 m/sec, and its frequency is 650,000,000,000,000 cycles per second. what is the wavelength of blue light? use scientific notation to make your calculation and express your answer.

Answer 1

Electromagnetic radiation are represented in waves. Each type of wave has a certain shape and length. The distance between two peaks in a wave is called the wavelength. It is indirectly related to the frequency which is the number of wave that pass per unit of time. Wavelength is equal to the speed of light divided by the frequency. We calculate as follows:

Wavelength = 300,000,000 m/sec / 650,000,000,000,000 per second
Wavelength = 4.62x10^-4 m

Answer 2

Answer: The wavelength of the blue light is $4.615\times 10^{-7}m$

Explanation:

To calculate the wavelength of the light, we use the formula:

$\nu=\frac{c}{\lambda}$

Where,

$\nu$ = Frequency of the blue light = $6.5\times 10^{14}s^{-1}$

$\lambda$ = Wavelength of the blue light = ?

c = speed of the blue light = $3\times 10^8m/s$

Putting values in above equation, we get:

$\lambda =\frac{3\times 10^8m/s}{6.5\times 10^{14}s^{-1}}=4.615\times 10^{-7}m$

Hence, the wavelength of the blue light is $4.615\times 10^{-7}m$