Question

The speed of all electromagnetic waves is 3.00 × 108 meters per second. What is the wavelength of an X-ray with a frequency of 1.18 × 1018 Hz?
2.54 × 1026 meters
3.93 × 109 meters
2.54 × 10-10 meters
3.93 × 10-11 meters

Answer 1

The answer is......2.54x10^-10......

Answer 2

Explanation :

Given that,

The speed of all electromagnetic waves is, $v=3\times 10^8\ m/s$

Frequency of x-ray,$\nu=1.18\times 10^{18}\ Hz$

The speed of the wave is defined as the product of the frequency and the wavelength.

$\lambda=\dfrac{v}{\nu}$

$\lambda=\dfrac{3\times 10^8}{1.18\times 10^{18}}$

$\lambda=2.54\times 10^{-10}\ m$

So, the correct option is (c).

Hence, this is the required solution.