Question

[PLEASE HELP ASAP TY]

light is shone on a diffraction grating with d=2.25 x 10^-6 m. the first order (m = 1) maximum occurs at a 15.7 angle. what is the wavelength of the light in nanometers? (hint: the answer will be between 400 and 700)
[?] nm

Answer 1

Answer:

608.9 nm

Explanation:

trust me cutie

Answer 2

The wavelength of light in nanometers is 0.017 x $10^{3}$ nm.

We have -

d = $2.25\times 10^{-6}$

n = 1 = order

θ = 15.7 degrees

We have to calculate the wavelength of light (λ) in nanometers.

What is diffraction?

Diffraction is defined as the bending or spreading of light waves as it passes through the edge of an object or through a small slit (size of slit should be very very less then wavelength of light) is called diffraction.

According to the question, we can use the following relation to calculate wavelength as -

d sinθ = nλ

λ = $\frac{dsin\theta}{n}$

λ = d sinθ               (since n = 1)

λ = $2.25\times 10^{-6}$ x sin (15.7)

λ = 0.0079 x 2.25 x $10^{-6}$

λ = 0.0177 x $10^{-6}$ m

We know that -

1 nanometer = $10^{-9}$ m

1 m = $\frac{1}{10^{-9} }$

0.017 x $10^{-6}$ m will be equal to = $\frac{0.017\times 10^{-6} }{10^{-9} }$ = 0.0177 x $10^{3}$ nm

Hence, the wavelength of light in nano meters is 0.0177 x $10^{3}$ nm.

To solve more questions on Diffraction, visit the link below -

https://brainly.com/question/13274373

#SPJ2