Question

When light having vibrations with angular frequency ranging from 2.7×10^15rad/s to 4.7×10^15rad/s strikes the retina of the eye, it stimulates the receptor cells there and is perceived as visible light. What are the limits of the period of this light?

Answer 1

Step-by-step explanation:

Given that,

Angular frequency 1,
`\omega_1=2.7* 10^(15)\ rad/s`

Angular frequency 2,
`\omega_2=4.7* 10^(15)\ rad/s`

When light having vibrations with angular frequency ranging from
`\omega_1` to
`\omega_2` strikes the retina of the eye, it stimulates the receptor cells there and is perceived as visible light. We need to find the limits of the period of this light.

We know that,

`\omega=2\pi f`

`f=(\omega)/(2\pi)`

Time period,
`T=(1)/(f)=(2\pi)/(\omega)`

`T_1=(2\pi)/(2.7* 10^(15))`

`T_1=2.32* 10^(-15)\ s`

`T_2=(2\pi)/(4.7* 10^(15))`

`T_2=1.33* 10^(-15)\ s`

So, the limits of the period of this light is from
`2.32* 10^(-15)\ s` to
`1.33* 10^(-15)\ s`. Hence, this is the required solution.