Question

A wave has a frequency of about 2.49 x 10¹⁴ hz or (1/sec).

The wavelength equals ________ meters. Write your answer to two decimal places and in scientific notation without the units.

Answer 1

The wavelength of a wave with a frequency of 2.49 x 10⁹⁴ Hz is 1.20 x 10⁻⁶ meters when the speed of light is 2.998 x 10⁸ m/s.

Step-by-step explanation:

To calculate the wavelength of a wave when the frequency is given, we use the formula c = λf, where c is the speed of light, λ is the wavelength, and f is the frequency. Given a frequency of 2.49 x 10¹⁴ Hz, and the speed of light is 2.998 x 10⁸ m/s, you can calculate the wavelength using the rearranged formula λ = c / f.

Substituting the values into the formula gives us:

λ = (2.998 x 10⁸ m/s) / (2.49 x 10¹⁴ Hz)
= 1.20 x 10¹⁻⁶ m

So, the wavelength of the wave is 1.20 x 10¹⁻⁶ meters when expressed in scientific notation to two decimal places without units.