Question

The human eye can readily detect wavelengths from about 400 nm to 700 nm. Part A If white light illuminates a diffraction grating having 910 lines/mm , over what range of angles does the visible m

Answer 1

The correct answer is "
`21.344^(\circ)`" and "
`39.56^(\circ)`".

Step-by-step explanation:

According to the question,

Slit width,

`d=(1)/(910 \ lines/mm)`

`=(1)/(910* 10^3)`

`=1.099* 10^(-6) \ m`

The condition far first order maxima will be:

⇒
`d Sin \theta = 1 \lambda`

Now,

⇒
`\Theta_(min) = Sin^(-1) ((\lambda)/(d) )`

`=Sin^(-1) ((400* 10^(-9))/(1.099* 10^(-6)) )`

`=21.344^(\circ)`

⇒
`\Theta_(max) = Sin^(-1) ((\lambda)/(d) )`

`=Sin^(-1) ((700* 10^(-9))/(1.099* 10^(-6)) )`

`=39.56^(\circ)`