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MMLU-Pro / 9849 / A charged nonconducting rod, with a length of 2.00 mathrm{~m} and a…

Problem

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

question

A charged nonconducting rod, with a length of $2.00 \mathrm{~m}$ and a cross-sectional area of $4.00 \mathrm{~cm}^2$, lies along the positive side of an xx axis with one end at the origin. The volume charge density ρ\rho is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if ρ\rho is uniform, with a value of −4.00μC/m3-4.00 \mu \mathrm{C} / \mathrm{m}^3?
Plain-text mathematical notation (without MathML)
A charged nonconducting rod, with a length of $2.00 \mathrm{~m}$ and a cross-sectional area of $4.00 \mathrm{~cm}^2$, lies along the positive side of an x axis with one end at the origin. The volume charge density ρ is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if ρ is uniform, with a value of −4.00μC/m³?
Original LaTeX notation
A charged nonconducting rod, with a length of $2.00 \mathrm{~m}$ and a cross-sectional area of $4.00 \mathrm{~cm}^2$, lies along the positive side of an $x$ axis with one end at the origin. The volume charge density $\rho$ is charge per unit volume in coulombs per cubic meter. How many excess electrons are on the rod if $\rho$ is uniform, with a value of $-4.00 \mu \mathrm{C} / \mathrm{m}^3$?

category

physics

options

  1. $1.00$$10^{10} \text { electrons; }$
  2. $4.00$$10^{10} \text { electrons; }$
  3. $3.00$$10^{10} \text { electrons; }$
  4. $8.00 \times 10^{10}$ electrons;
  5. $5.00 \times 10^{10}$ electrons;
  6. $1.50 \times 10^{10}$ electrons;
  7. $7.50 \times 10^{9}$ electrons;
  8. $2.00$$10^{10} \text { electrons; }$
  9. $6.00 \times 10^{10}$ electrons;
  10. $9.00 \times 10^{9}$ electrons;

src

scibench-fund

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Source and history

upstream_id / Original problem ID
9849
task_id
86338635-c109-5e24-b823-9538a89f8e8a
task_key
default--test--9849
task_revision_id
1
config / split
default / test

Official source

initial import