An Electron Is Projected with an Initial Velocity $v _ { 0 } = 8.4 \times 10 ^ { 7 } \mathrm {~m} / \mathrm { s }$

question 92

Multiple Choice

An electron is projected with an initial velocity $v _ { 0 } = 8.4 \times 10 ^ { 7 } \mathrm {~m} / \mathrm { s }$ along the $y$ -axis, which is the centerline between a pair of charged plates, as shown in the figure. The plates are $1.0 \mathrm {~m}$ long and are separated by $0.10 \mathrm {~m}$ . A uniform electric field of magnitude $E$ in the $+ x$ -direction is present between the plates. If the magnitude of the acceleration of the electron is measured to be $8.9 \times 10 ^ { 15 } \mathrm {~m} / \mathrm { s } ^ { 2 }$ , what is the magnitude of the electric field between the plates? $\left( e = 1.6 \times 10 ^ { - 19 } \mathrm { C } \right.$ , $m _ { \text {electron } } = 9.11 \times 10 - 31 \mathrm {~kg}$ )

• A) \(35,000 \mathrm {~N} / \mathrm { C }\)
• B) \(29,000 \mathrm {~N} / \mathrm { C }\)
• C) \(40,000 \mathrm {~N} / \mathrm { C }\)
• D) \(51,000 \mathrm {~N} / \mathrm { C }\)
• E) \(45,000 \mathrm {~N} / \mathrm { C }\)