Electrons with a Speed Of $2.1 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$

question 133

Multiple Choice

Electrons with a speed of $2.1 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$ are directed towards a $1.0 - \mu \mathrm { m }$ wide slit. An electron detector is placed $1.0 \mathrm {~m}$ behind the slit. How wide is the central maximum of the electron diffraction pattern on the detector? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} \right)$

• A) \(690 \mu \mathrm { m }\)
• B) \(1000 \mu \mathrm { m }\)
• C) \(1400 \mu \mathrm { m }\)
• D) \(350 \mu \mathrm { m }\)