Question

What are the wavelengths for X-rays with frequency 3 × 1018? 1 × 10–10 m 3 × 10–10 m 3 × 1026 m 9 × 1026 m

Answer 1

a. 1 × 10^–10 m

Explanation:

Answer 2

`Wavelength=\lambda=1* 10^(-10)` m

Explanation:

Given that the wavelengths for X-rays with frequency
`3* 10^(18)`

To find the wavelengths for the given X-rays:

The distance between two peaks in a wave is called the wavelength.

The value of wavelength is equal to the wave velocity divided by the frequency.

That is written by

`Wavelength=\lambda =(v)/(f)`

`Wavelength =(3* 10^8)/(3* 10^(18))`

`=(10^8)/(10^(18))`

`=(1)/(10^(18).10^(-8))` (by using the property
`a^m=(1)/(a^(-m))`)

`=(1)/(10^(18-8))` (by using the property
`a^m.a^n=a^(m+n)`)

`=(1)/(10^(10))`

`=1* 10^(-10)` m (by using the property
`(1)/(a^(m))=a^(-m)`)

∴
`Wavelength=\lambda=1* 10^(-10)` m