Electrons with a speed of 2.1 × 10⁶ m/s are directed towards a 1.0 μm wide slit.An electron detector is placed 1.0 m behind the slit.How wide is the electron diffraction pattern on the detector? A)690 μm B)350 μm C)1000 μm D)1400 μm

Question

Quizplus · Accepted Answer

The width of the diffraction pattern can be calculated using the formula for single-slit diffraction: $ \Delta y = \frac{2 \lambda L}{a} $, where $ \lambda $ is the wavelength of the electrons, $ L $ is the distance to the screen, and $ a $ is the slit width. The de Broglie wavelength $ \lambda $ is given by $ \lambda = \frac{h}{mv} $. Substituting the given values, the width of the diffraction pattern is approximately 690 μm.

Electrons with a Speed of 2