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MMLU-Pro / 9559 / An electric dipole with dipole moment

Problem

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

question

An electric dipole with dipole moment p→=(3.00i^+4.00j^)(1.24×10−30C⋅m) \vec{p}=(3.00 \hat{\mathrm{i}}+4.00 \hat{\mathrm{j}})\left(1.24 \times 10^{-30} \mathrm{C} \cdot \mathrm{m}\right) is in an electric field $\vec{E}=(4000 \mathrm{~N} / \mathrm{C}) \hat{\mathrm{i}}$. What is the potential energy of the electric dipole? (b) What is the torque acting on it?
Plain-text mathematical notation (without MathML)
 An electric dipole with dipole moment
(p)→=(3.00(i)^+4.00(j)^)(1.24×10^(−30)C⋅m)
is in an electric field $\vec{E}=(4000 \mathrm{~N} / \mathrm{C}) \hat{\mathrm{i}}$. What is the potential energy of the electric dipole? (b) What is the torque acting on it?
Original LaTeX notation
 An electric dipole with dipole moment
$$
\vec{p}=(3.00 \hat{\mathrm{i}}+4.00 \hat{\mathrm{j}})\left(1.24 \times 10^{-30} \mathrm{C} \cdot \mathrm{m}\right)
$$
is in an electric field $\vec{E}=(4000 \mathrm{~N} / \mathrm{C}) \hat{\mathrm{i}}$. What is the potential energy of the electric dipole? (b) What is the torque acting on it?

category

physics

options

  1. $-1.69$$10^{-26} \mathrm{~J}$
  2. $-1.99 \times 10^{-26} \mathrm{~J}$
  3. $-1.59 \times 10^{-26} \mathrm{~J}$
  4. $-1.39$$10^{-26} \mathrm{~J}$
  5. $-1.79 \times 10^{-26} \mathrm{~J}$
  6. $-1.09 \times 10^{-26} \mathrm{~J}$
  7. $-1.29$$10^{-26} \mathrm{~J}$
  8. $-1.49$$10^{-26} \mathrm{~J} $
  9. $-1.19 \times 10^{-26} \mathrm{~J}$
  10. $-2.09 \times 10^{-26} \mathrm{~J}$

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9559
task_id
e9230de0-5189-58f9-8a5f-052f3bf50dd9
task_key
default--test--9559
task_revision_id
1
config / split
default / test

Official source

initial import