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MMLU-Pro / 11316 / Distilled water is a dielectric having the constants…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Distilled water is a dielectric having the constants\epsilon_r= 81, \mu_r= 1. If a wave is incident from water onto a water-air interface, calculate the critical angle. If the incident E_1 = 1 V m^-1 and the incident angle is 45°, calculate the magnitude of the field strength in the air (a) at the interface and (b) \lambda/4 away from the interface.

category

engineering

options

  1. at the interface: 2.42 Vm^-1, away from the interface: 83.2 \mu Vm^-1
  2. at the interface: 1.00 Vm^-1, away from the interface: 50.0 \mu Vm^-1
  3. at the interface: 1.42 Vm^-1, away from the interface: 73.2 \mu Vm^-1
  4. at the interface: 0.92 Vm^-1, away from the interface: 30.4 \mu Vm^-1
  5. at the interface: 1.22 Vm^-1, away from the interface: 60.5 \mu Vm^-1
  6. at the interface: 0.72 Vm^-1, away from the interface: 37.2 \mu Vm^-1
  7. at the interface: 1.62 Vm^-1, away from the interface: 40.8 \mu Vm^-1
  8. at the interface: 1.82 Vm^-1, away from the interface: 63.2 \mu Vm^-1
  9. at the interface: 2.00 Vm^-1, away from the interface: 90.0 \mu Vm^-1
  10. at the interface: 1.52 Vm^-1, away from the interface: 80.2 \mu Vm^-1

src

stemez-Electromagnetics

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Source and history

upstream_id / Original problem ID
11316
task_id
66c6577a-60e0-51e4-b829-79c2a98f21be
task_key
default--test--11316
task_revision_id
1
config / split
default / test

Official source

initial import