Question

5

7.76 The sun emits many wavelengths of light. The brightest
light is emitted at about 0.48 um. What frequency does this
correspond to?

Answer 1

The corresponding frequency is
`6.25 * 10^(14) \mathrm{Hertz}`

Explanation:

Given:

The brightest light is emitted =0.48 μm

To find:

Frequency= ?

Solution:

We know ,

`1 \mu m=10^(-6) \text { meters }`

Hence,

`0.48 \mu m=0.48 * 10^(-6) \mathrm{meters}`

Now,

`\text {frequency }=\frac{\text {speed of lightc}}{\text {wavelength}}`

Substituting the known values

`\text { frequency }=\frac{\left(3.00 * 10^(8) \text { meters per second }\right)}{\left(0.48 * 10^(-6) \mathrm{meters}\right)}`

`\text {frequency }=6.25 * 10^(14) \mathrm{Hertz}`

Thus the frequency is
`6.25 * 10^(14) \mathrm{Hertz}`