Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

Question Number 10056 by Tawakalitu ayo mi last updated on 22/Jan/17

Infrared rays of frequency 1.0 × 10^(13)  Hz  have a wavelength of 3.0 × 10^(−5)  m in a vacuum.  The wavelenth of X rays of frequency  5.0 × 10^(16)  Hz in a vacuum will be ?

$$\mathrm{Infrared}\:\mathrm{rays}\:\mathrm{of}\:\mathrm{frequency}\:\mathrm{1}.\mathrm{0}\:×\:\mathrm{10}^{\mathrm{13}} \:\mathrm{Hz} \\ $$$$\mathrm{have}\:\mathrm{a}\:\mathrm{wavelength}\:\mathrm{of}\:\mathrm{3}.\mathrm{0}\:×\:\mathrm{10}^{−\mathrm{5}} \:\mathrm{m}\:\mathrm{in}\:\mathrm{a}\:\mathrm{vacuum}. \\ $$$$\mathrm{The}\:\mathrm{wavelenth}\:\mathrm{of}\:\mathrm{X}\:\mathrm{rays}\:\mathrm{of}\:\mathrm{frequency} \\ $$$$\mathrm{5}.\mathrm{0}\:×\:\mathrm{10}^{\mathrm{16}} \:\mathrm{Hz}\:\mathrm{in}\:\mathrm{a}\:\mathrm{vacuum}\:\mathrm{will}\:\mathrm{be}\:? \\ $$

Answered by mrW1 last updated on 22/Jan/17

they have the same speed (speed of  light 3×10^8  m/s).  λ×5.0×10^(16) =3.0×10^(−5) ×1.0×10^(13)   λ=((3.0×10^(−5) ×1.0×10^(13) )/(5.0×10^(16) ))=6.0×10^(−9)  m

$${they}\:{have}\:{the}\:{same}\:{speed}\:\left({speed}\:{of}\right. \\ $$$$\left.{light}\:\mathrm{3}×\mathrm{10}^{\mathrm{8}} \:{m}/{s}\right). \\ $$$$\lambda×\mathrm{5}.\mathrm{0}×\mathrm{10}^{\mathrm{16}} =\mathrm{3}.\mathrm{0}×\mathrm{10}^{−\mathrm{5}} ×\mathrm{1}.\mathrm{0}×\mathrm{10}^{\mathrm{13}} \\ $$$$\lambda=\frac{\mathrm{3}.\mathrm{0}×\mathrm{10}^{−\mathrm{5}} ×\mathrm{1}.\mathrm{0}×\mathrm{10}^{\mathrm{13}} }{\mathrm{5}.\mathrm{0}×\mathrm{10}^{\mathrm{16}} }=\mathrm{6}.\mathrm{0}×\mathrm{10}^{−\mathrm{9}} \:{m} \\ $$

Commented by Tawakalitu ayo mi last updated on 22/Jan/17

God bless you sir.

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com