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Sergeu [11.5K]
3 years ago
8

What is the wavelength of light that is deviated in the first order through an angle of 13.1 ∘ by a transmission grating having

5000 slits/cm? Assume normal incidence.
Physics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

The wavelength of light is 4.53\times10^{-7}\ m

Explanation:

Given that,

Angle = 13.1°

Number of slits = 5000

We need to calculate the wavelength of light

Diffraction of first order is defined as,

d \sin\theta=n\lambda.....(I)

The separation of the slits

d = \dfrac{1}{N}

d=\dfrac{1}{5000}

d=2\times10^{-6}\ m

Now put the value in equation (I)

2\times10^{-6}\sin13.1^{\circ}=\lambda

Here, n = 1

\lambda=4.53\times10^{-7}\ m

Hence, The wavelength of light is 4.53\times10^{-7}\ m

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