Question

.The frequency of yellow radiation is 5.17 Hz. The wavelength of this radiation is

Answer 1

Given:

Frequency of yellow radiation is 5.17 Hz.

To find:

Wavelength of the radiation

Calculation:

The general expression relating wavelength and frequency for any electromagnetic wave (e.g. Light) is as follows:

$\boxed{ \large{ \red{ \lambda \times \nu = c}}}$

Here $\lambda$ is wavelength , $\nu$ is frequency and "c" is speed of light.

Putting available values in SI units:

$= > \large{\lambda \times 5.17 = 3 \times {10}^{8} }$

$= > \large{\lambda = \dfrac{3 \times {10}^{8}}{5.17} }$

$= > \large{\lambda = 0.58 \times {10}^{8} \: m }$

$= > \large{\lambda = 5.8 \times {10}^{7} \: m }$

So, wavelength of the light is 5.7 × 10⁷ m.

Other important definitions to remember:

• Frequency: It is number of complete oscillations made in 1 sec by the electric field (or magnetic field) in the light wave.

• Wavelength: It is the distance between adjacent crests or troughs.

HOPE IT HELPS.