Question

the Wave length of the Wave is 0.1nm it's speed is 3*10^8ms what is the frequency of the Wave​

Answer 1

Answer:

Step-by-step explanation:

Using formula,

$\large \boxed{ \sf v_w = fλ}$

$\rm v_w = 3×10^8\:m/s$

$\rm λ = 0.1\:nm=1×10^{-10} \:m$

$\rm f= \dfrac{v_w}{λ}$

$\rm \longmapsto \dfrac{3×10^8}{1×10^{-10}}$

$\rm \longmapsto \dfrac{3×10^{8-10}}{1}$

$\rm \longmapsto 3×10^{-2}$

$\rm \longmapsto 3×\dfrac{1}{10^2}$

$\rm \longmapsto \dfrac{3}{100}$

$\rm \longmapsto 0.03\:hertz$

Answer 2

Answer:

The frequency of the wave is equal to 3 × 10¹⁸s⁻¹.

Explanation:

We have given the value of wavelength, λ= 0.1nm

λ= 0.1 × 10⁻⁹m

The speed of light, c = 3 ×10⁸m/s

Frequency of a wave is defined as the number of waves passing through the fixed point per unit time. The SI unit of frequency is s⁻¹ or hertz (Hz). There are two kinds of waves one is longitudinal waves and other is transverse waves.

When the light is passed through a medium, its frequency will be given by:

$\big \nu = \frac{\big c}{\big \lambda}$

Substitute the value of 'c' and wavelength in above equation;

$\nu=\frac{3\times 10^8m/s}{0.1\times 10^{-9}m}$

$\nu=3\times 10^{18 }s^{-1}}$

Therefore, the frequency of the wave is equal to 3 × 10¹⁸s⁻¹.

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