Question

calculate the wavelength in NM of an x-ray wave of frequency 2×10^18 Hertz​

Answer 1

Answer:The frequency is  = 2 ⋅ 10^ 18 H z

Explanation:

Apply the equation

Frequency ×  Wavelength  =  Speed

f × λ = c

The wavelength is  λ = 1.5 ⋅ 10 ^(− 10 )m

The speed is  c = 3 ⋅ 10 ^8  m s − 1  

The frequency is

f = c λ = 3  . 10 ^8  (1.5 ⋅ 10^ (− 10) =2 ⋅ 10 ^18 H z

Answer 2

The wavelength of an x-ray is 0.15 nm.

Explanation:

Given that, the frequency of x-ray wave is $2\times 10^{18}\ Hz$. We need to find the wavelength of x-ray. The speed of an electromagnetic wave is given by :

$c=f\lambda\\\\\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8\ m/s}{2\times 10^{18}\ Hz}\\\\\lambda=1.5\times 10^{-10}\ m\\\\\lambda=0.15\ m$

So, the wavelength of an x-ray is 0.15 nm. Hence, this is the required solution.

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