Matter Waves: Electrons Emerge from an Electron Gun with a Speed

question 20

Multiple Choice

Matter waves: Electrons emerge from an electron gun with a speed of 2.0 × 10⁶ m/s and then pass through a pair of thin parallel slits. Interference fringes with a spacing of 2.7 mm are detected on a screen far from the double slit and fairly close to the center of the pattern. What would the fringe spacing be if the electrons were replaced by neutrons with the same speed? (m_el = 9.11 × 10^-31 kg, m_neutron = 1.67 × 10^-27 kg)

• A) 1.5 µm
• B) 4.9 µm
• C) 0.93 nm
• D) 1.1 µm
• E) 1.5 nm

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Definitions:

Electric Burn

Tissue damage caused by electricity passing through the body, potentially causing burns, internal injuries, or disturbances in heart rhythm.

Aspirated

The act of inhaling foreign objects into the airway, which can lead to breathing difficulties or respiratory infections.

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Refers to the nutritional content of a food item, including vitamins, minerals, proteins, and calories it provides.

Sodium

A chemical element, symbol Na, essential for human health, playing a critical role in nerve function and fluid balance.