Question

73. Integrated Concepts
An electron microscope produces electrons with a 2.00-pm wavelength. If these are passed through a 1.00-nm single slit, at what angle will the first diffraction minimum be found?

Answer 1

The angle will the first diffraction minimum be found will be 0.034895°.

What is diffraction grating?

A diffraction grating is a type of optical instrument obtained with a continuous pattern. The pattern of the diffracted light by a grating depends on the structure and number of elements present.

The equation of diffraction grating is given as

$\rm d= \frac{m \lambda}{sin \theta }$

The angle between the incident ray and the point of the occurrence of the diffraction is found as;

$\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \lambda= (2.0))(\frac{1.00 \times 10^{-12}}{1\ pm} )\\\\\ \lambda=2.00 \times 10^{-12}$

The angle will the first diffraction minimum be found is;

$\theta = sin^{-1}(\frac{m\lambda}{d} )\\\\\ \theta = sin^{-1}(\frac{1 \times 2.000 \times 10^{-12}}{1\times 10^{-12}} )\\\\\ \theta= 0.0348995^0$

Hence,the angle will the first diffraction minimum be found will be 0.034895°.

To learn more about diffraction grating, refer to the link;

https://brainly.com/question/1812927

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