A wave has a wavelength of 4.6 x 10^-10 m. What is the energy?

Answer 1

There are two equations needed to solve this problem:

speed of light = (wavelength) X (frequency)

Energy = (Planck's constant) X (frequency)

We also need to know that the speed of light in a vacuum is 2.9979 x 10⁸ m/s.

First, let's use the speed of light equation to calculate the frequency:

2.9979 x 10⁸ m/s = (4.6 x 10^-10m) x (frequency)

Dividing 2.9979 x 10⁸ m/s by 4.6 x 10^-10m gives us a frequency of 6.5 x 10¹⁷ s^-.

Now let's use the energy equation to complete the problem:

Energy = (6.626 x 10^-34 J x s) X (6.5 x 10¹⁷ s^-)

Energy = 4.3 x 10^-16 J

Answer 2

We can use a simple equation to solve this problem:

1. E = hc/gamma, where E is the energy, h is planck's constant, c is the speed of lght, and gamma is the wavelength.

Plugging all of this in we get: E = 6.626×10⁻³⁴j/s x 299,792,458 m/s / 4.6 x 10^-10 = 4.32 x 10^-16 J