Question

if wavelength of x-rays is 10^-12m then its frequency is

Answer 1

ANSWER:-

The given wavelength(λ) of x-rays = 10^⁻¹² m.

To find the frequency(f) of x-rays.

So , we know that the frequency and wavelength

is inversely proportional to each other.

(f) ∝ (1/λ)

And the product of frequency and wavelength

of any electromagnetic waves is equal to

speed of light.

Because light is also a electromagnetic waves.

So, c= fλ

f = c/λ [speec of light =3×10⁸ms⁻¹]

f =(3×10⁸)/(10⁻12)

f = 3×10²⁰ s⁻¹

Therefore, frequency (f) of x-rays is 3×10²⁰ s⁻¹.

THANKS.

Answer 2

Given: The wavelength of x-rays(λ)= 10⁻¹²m
To find The frequency of x-rays(f)
Solution: The frequency of x-rays(f) varies inversely with the wavelength of the x-rays(λ).
                           f ∝ (1/λ) or λ ∝ (1/f )
When we multiply the frequency of x-rays(f) with the wavelength of the x-rays(λ), we get the speed of light(c) which is constant and its value is 3×10⁸m.
So we have c=f×λ and from above we have c=3×10⁸m, λ=10⁻¹²m
∴ f=c/λ
⇒f=(3×10⁸m)/10⁻¹²m  [Substituting the values of c and λ]
⇒f =(3×10⁸⁻⁽⁻¹²⁾) s⁻¹   [ The Laws of Indices are implemented here]
⇒f =(3×10⁽⁸⁺¹²⁾) s⁻¹

⇒f =(3×10²⁰) s⁻¹
Hence the frequency of x-rays(f) is (3×10²⁰) s⁻¹.