Question

What is the wavelength of an medical x-ray with frequency equal to 9.5 into 10 to the power 17 hertz?​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

What is the wavelength of an medical x-ray with frequency equal to ${\sf 9.5×10^{17}}$ hertz?

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Frequency (f) = ${\sf 9.5×10^{17}}$ hertz
• Speed of light (c) = ${\sf 3×10^8 m/s}$

$\large\underline{\underline{\sf To\:Find:}}$

• Wavelength ${\sf (\lambda)}$.

❏$\large{\boxed{\bf \blue{Frequency (f)=\dfrac{c}{\lambda}} }}$

$\implies{\sf \lambda = \dfrac{9.5×10^{17}}{3×10^8}}$

$\implies{\sf \lambda = 0.5×10^{9}}$

$\implies{\bf \red{ \lambda = 5×10^8m }}$

$\huge\underline{\underline{\bf \orange{Solution-}}}$

Wavelength of X-ray is ${\bf \red{5×10^8m}}$.