Electrons Emerge from an Electron Gun with a Speed Of 2.0

question 159

Multiple Choice

Electrons emerge from an electron gun with a speed of $2.0 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$ and then pass through a double-slit apparatus. Interference fringes with spacing of $2.7 \mathrm {~mm}$ are detected on a screen far from the double slit. What would the fringe spacing be if the electrons were replaced by neutrons with the same speed? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , m _ { \text {neutron } } = 1.675 \times \right.$ 10-27 $\mathrm { kg }$ )

• A) \(0.93 \mathrm {~nm}\)
• B) \(4.9 \mathrm {~m}\)
• C) \(1.2 \mathrm {~km}\)
• D) \(1.5 \mu \mathrm { m }\)

---

Definitions:

Variable Substitution

In mathematics, this involves replacing variables with other variables or values to simplify expressions or solve equations.

Mathematical Expression

A combination of numbers, operations, and sometimes variables that represents a mathematical relationship or value.

Exponentiation

The mathematical operation involving the raising of a number to the power of another number.

Mathematical Expression

A combination of numbers, operations, and symbols forming a meaningful equation or inequality.